%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP246_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n027.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 : Wed May 29 17:13:23 EDT 2024

% Result   : Theorem 19.21s 19.39s
% Output   : Proof 19.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 4.08/4.10  % Problem    : ITP246_1 : TPTP v8.2.0. Released v8.0.0.
% 4.08/4.11  % Command    : do_cvc5 %s %d
% 4.11/4.32  % Computer : n027.cluster.edu
% 4.11/4.32  % Model    : x86_64 x86_64
% 4.11/4.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 4.11/4.32  % Memory   : 8042.1875MB
% 4.11/4.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 4.11/4.32  % CPULimit   : 300
% 4.11/4.32  % WCLimit    : 300
% 4.11/4.32  % DateTime   : Sun May 26 03:33:43 EDT 2024
% 4.11/4.32  % CPUTime    : 
% 9.60/9.82  %----Proving TF0_NAR, FOF, or CNF
% 19.21/19.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 19.21/19.39  % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.cACmJa7ktW/cvc5---1.0.5_6719.smt2
% 19.21/19.39  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.cACmJa7ktW/cvc5---1.0.5_6719.smt2
% 19.21/19.39  (assume a0 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a1 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.deg)))
% 19.21/19.39  (assume a2 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a3 (forall ((Xs tptp.set_nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set Xs) X)) (and (tptp.member_nat X Xs) (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 Xs) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) X))))))))
% 19.21/19.39  (assume a4 (forall ((Xs tptp.set_nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set Xs) X)) (and (tptp.member_nat X Xs) (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 Xs) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) X2))))))))
% 19.21/19.39  (assume a5 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.na))
% 19.21/19.39  (assume a6 (forall ((M tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 M) tptp.one))))
% 19.21/19.39  (assume a7 (forall ((N tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit0 N)))))
% 19.21/19.39  (assume a8 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 19.21/19.39  (assume a9 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.21/19.39  (assume a10 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.39  (assume a11 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.sc)))
% 19.21/19.39  (assume a12 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.numera6690914467698888265omplex tptp.one)) A)))
% 19.21/19.39  (assume a13 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) A)))
% 19.21/19.39  (assume a14 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A)))
% 19.21/19.39  (assume a15 (forall ((X22 tptp.num) (Y2 tptp.num)) (= (= (tptp.aa_num_num tptp.bit0 X22) (tptp.aa_num_num tptp.bit0 Y2)) (= X22 Y2))))
% 19.21/19.39  (assume a16 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N)) (= M N))))
% 19.21/19.39  (assume a17 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.numera6690914467698888265omplex M) (tptp.numera6690914467698888265omplex N)) (= M N))))
% 19.21/19.39  (assume a18 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real M) (tptp.aa_num_real tptp.numeral_numeral_real N)) (= M N))))
% 19.21/19.39  (assume a19 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat M) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (= M N))))
% 19.21/19.39  (assume a20 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (= M N))))
% 19.21/19.39  (assume a21 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.aa_num_int tptp.numeral_numeral_int N)) (= M N))))
% 19.21/19.39  (assume a22 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.21/19.39  (assume a23 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.21/19.39  (assume a24 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.21/19.39  (assume a25 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.21/19.39  (assume a26 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.21/19.39  (assume a27 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.21/19.39  (assume a28 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.21/19.39  (assume a29 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.21/19.39  (assume a30 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.deg))))
% 19.21/19.39  (assume a31 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.deg))))
% 19.21/19.39  (assume a32 (forall ((B tptp.real) (A2 tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B) A2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A2) B)))))
% 19.21/19.39  (assume a33 (forall ((B tptp.rat) (A2 tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B) A2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A2) B)))))
% 19.21/19.39  (assume a34 (forall ((B tptp.num) (A2 tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B) A2))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A2) B)))))
% 19.21/19.39  (assume a35 (forall ((B tptp.nat) (A2 tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B) A2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A2) B)))))
% 19.21/19.39  (assume a36 (forall ((B tptp.int) (A2 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) A2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A2) B)))))
% 19.21/19.39  (assume a37 (forall ((A tptp.set_nat)) (tptp.ord_less_eq_set_nat A A)))
% 19.21/19.39  (assume a38 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) A))))
% 19.21/19.39  (assume a39 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 19.21/19.39  (assume a40 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 19.21/19.39  (assume a41 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 19.21/19.39  (assume a42 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) A)))))
% 19.21/19.39  (assume a43 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) A)))))
% 19.21/19.39  (assume a44 (forall ((A tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) A)))))
% 19.21/19.39  (assume a45 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) A)))))
% 19.21/19.39  (assume a46 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) A)))))
% 19.21/19.39  (assume a47 (forall ((A tptp.rat) (B2 tptp.rat)) (or (= A B2) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))))))
% 19.21/19.39  (assume a48 (forall ((A tptp.num) (B2 tptp.num)) (or (= A B2) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A))))))
% 19.21/19.39  (assume a49 (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))))
% 19.21/19.39  (assume a50 (forall ((A tptp.int) (B2 tptp.int)) (or (= A B2) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A))))))
% 19.21/19.39  (assume a51 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) M))))
% 19.21/19.39  (assume a52 (forall ((M tptp.nat) (N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) K))))))
% 19.21/19.39  (assume a53 (forall ((X22 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit0 X22)))))
% 19.21/19.39  (assume a54 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.res) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.sc))
% 19.21/19.39  (assume a55 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.xa) tptp.res)))
% 19.21/19.39  (assume a56 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.sc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))))
% 19.21/19.39  (assume a57 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a58 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a59 (forall ((K tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K) M))))))
% 19.21/19.39  (assume a60 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.39  (assume a61 (forall ((Ma tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))))))
% 19.21/19.39  (assume a62 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.21/19.39  (assume a63 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))
% 19.21/19.39  (assume a64 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) tptp.na)))
% 19.21/19.39  (assume a65 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.mi) tptp.xa)))
% 19.21/19.39  (assume a66 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.mi) tptp.ma)))
% 19.21/19.39  (assume a67 (= tptp.deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.na) tptp.m)))
% 19.21/19.39  (assume a68 (not (= tptp.za tptp.mi)))
% 19.21/19.39  (assume a69 (not (= tptp.mi tptp.ma)))
% 19.21/19.39  (assume a70 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.res) tptp.ma)))
% 19.21/19.39  (assume a71 (forall ((A tptp.extended_enat) (P tptp.fun_Ex8563670519792538868t_bool)) (= (tptp.member_Extended_enat A (tptp.collec4429806609662206161d_enat P)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P A)))))
% 19.21/19.39  (assume a72 (forall ((A tptp.complex) (P tptp.fun_complex_bool)) (= (tptp.member_complex A (tptp.collect_complex P)) (tptp.pp (tptp.aa_complex_bool P A)))))
% 19.21/19.39  (assume a73 (forall ((A tptp.real) (P tptp.fun_real_bool)) (= (tptp.member_real A (tptp.collect_real P)) (tptp.pp (tptp.aa_real_bool P A)))))
% 19.21/19.39  (assume a74 (forall ((A tptp.list_nat) (P tptp.fun_list_nat_bool)) (= (tptp.member_list_nat A (tptp.collect_list_nat P)) (tptp.pp (tptp.aa_list_nat_bool P A)))))
% 19.21/19.39  (assume a75 (forall ((A tptp.nat) (P tptp.fun_nat_bool)) (= (tptp.member_nat A (tptp.collect_nat P)) (tptp.pp (tptp.aa_nat_bool P A)))))
% 19.21/19.39  (assume a76 (forall ((A tptp.int) (P tptp.fun_int_bool)) (= (tptp.member_int A (tptp.collect_int P)) (tptp.pp (tptp.aa_int_bool P A)))))
% 19.21/19.39  (assume a77 (forall ((A3 tptp.set_Extended_enat)) (= (tptp.collec4429806609662206161d_enat (tptp.aTP_Lamm_a A3)) A3)))
% 19.21/19.39  (assume a78 (forall ((A3 tptp.set_complex)) (= (tptp.collect_complex (tptp.aTP_Lamm_aa A3)) A3)))
% 19.21/19.39  (assume a79 (forall ((A3 tptp.set_real)) (= (tptp.collect_real (tptp.aTP_Lamm_ab A3)) A3)))
% 19.21/19.39  (assume a80 (forall ((A3 tptp.set_list_nat)) (= (tptp.collect_list_nat (tptp.aTP_Lamm_ac A3)) A3)))
% 19.21/19.39  (assume a81 (forall ((A3 tptp.set_nat)) (= (tptp.collect_nat (tptp.aTP_Lamm_ad A3)) A3)))
% 19.21/19.39  (assume a82 (forall ((A3 tptp.set_int)) (= (tptp.collect_int (tptp.aTP_Lamm_ae A3)) A3)))
% 19.21/19.39  (assume a83 (forall ((P tptp.fun_complex_bool) (Q tptp.fun_complex_bool)) (=> (forall ((X3 tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool P X3)) (tptp.pp (tptp.aa_complex_bool Q X3)))) (= (tptp.collect_complex P) (tptp.collect_complex Q)))))
% 19.21/19.39  (assume a84 (forall ((P tptp.fun_real_bool) (Q tptp.fun_real_bool)) (=> (forall ((X3 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool Q X3)))) (= (tptp.collect_real P) (tptp.collect_real Q)))))
% 19.21/19.39  (assume a85 (forall ((P tptp.fun_list_nat_bool) (Q tptp.fun_list_nat_bool)) (=> (forall ((X3 tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool P X3)) (tptp.pp (tptp.aa_list_nat_bool Q X3)))) (= (tptp.collect_list_nat P) (tptp.collect_list_nat Q)))))
% 19.21/19.39  (assume a86 (forall ((P tptp.fun_nat_bool) (Q tptp.fun_nat_bool)) (=> (forall ((X3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool Q X3)))) (= (tptp.collect_nat P) (tptp.collect_nat Q)))))
% 19.21/19.39  (assume a87 (forall ((P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (forall ((X3 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool Q X3)))) (= (tptp.collect_int P) (tptp.collect_int Q)))))
% 19.21/19.39  (assume a88 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) tptp.res)))
% 19.21/19.39  (assume a89 (forall ((V tptp.num) (W tptp.num) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex W)) Z)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num V) W))) Z))))
% 19.21/19.39  (assume a90 (forall ((V tptp.num) (W tptp.num) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num V) W))) Z))))
% 19.21/19.39  (assume a91 (forall ((V tptp.num) (W tptp.num) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num V) W))) Z))))
% 19.21/19.39  (assume a92 (forall ((V tptp.num) (W tptp.num) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num V) W))) Z))))
% 19.21/19.39  (assume a93 (forall ((V tptp.num) (W tptp.num) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num V) W))) Z))))
% 19.21/19.39  (assume a94 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.21/19.39  (assume a95 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.21/19.39  (assume a96 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.21/19.39  (assume a97 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.21/19.39  (assume a98 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.21/19.39  (assume a99 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.one_one_rat) N) tptp.one_one_rat)))
% 19.21/19.39  (assume a100 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) N) tptp.one_one_nat)))
% 19.21/19.39  (assume a101 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.one_one_real) N) tptp.one_one_real)))
% 19.21/19.39  (assume a102 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.one_one_int) N) tptp.one_one_int)))
% 19.21/19.39  (assume a103 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.one_one_complex) N) tptp.one_one_complex)))
% 19.21/19.39  (assume a104 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a105 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a106 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a107 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a108 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.21/19.39  (assume a109 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.21/19.39  (assume a110 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) tptp.one)))))
% 19.21/19.39  (assume a111 (forall ((N tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num tptp.one) N))))
% 19.21/19.39  (assume a112 (forall ((N tptp.num)) (= (= (tptp.numera6690914467698888265omplex N) tptp.one_one_complex) (= N tptp.one))))
% 19.21/19.39  (assume a113 (forall ((N tptp.num)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real N) tptp.one_one_real) (= N tptp.one))))
% 19.21/19.39  (assume a114 (forall ((N tptp.num)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat N) tptp.one_one_rat) (= N tptp.one))))
% 19.21/19.39  (assume a115 (forall ((N tptp.num)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat N) tptp.one_one_nat) (= N tptp.one))))
% 19.21/19.39  (assume a116 (forall ((N tptp.num)) (= (= (tptp.aa_num_int tptp.numeral_numeral_int N) tptp.one_one_int) (= N tptp.one))))
% 19.21/19.39  (assume a117 (forall ((N tptp.num)) (= (= tptp.one_one_complex (tptp.numera6690914467698888265omplex N)) (= tptp.one N))))
% 19.21/19.39  (assume a118 (forall ((N tptp.num)) (= (= tptp.one_one_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (= tptp.one N))))
% 19.21/19.39  (assume a119 (forall ((N tptp.num)) (= (= tptp.one_one_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (= tptp.one N))))
% 19.21/19.39  (assume a120 (forall ((N tptp.num)) (= (= tptp.one_one_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (= tptp.one N))))
% 19.21/19.39  (assume a121 (forall ((N tptp.num)) (= (= tptp.one_one_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (= tptp.one N))))
% 19.21/19.39  (assume a122 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (= M N)))))
% 19.21/19.39  (assume a123 (forall ((A tptp.rat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) M) (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (= M N)))))
% 19.21/19.39  (assume a124 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (= M N)))))
% 19.21/19.39  (assume a125 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) M) (tptp.aa_nat_int (tptp.power_power_int A) N)) (= M N)))))
% 19.21/19.39  (assume a126 (forall ((N tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) (tptp.aa_num_num tptp.bit0 N)))))
% 19.21/19.39  (assume a127 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M)) tptp.one)))))
% 19.21/19.39  (assume a128 (= tptp.m (tptp.aa_nat_nat tptp.suc tptp.na)))
% 19.21/19.39  (assume a129 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 19.21/19.39  (assume a130 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 19.21/19.39  (assume a131 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 19.21/19.39  (assume a132 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 19.21/19.39  (assume a133 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 19.21/19.39  (assume a134 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.21/19.39  (assume a135 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.21/19.39  (assume a136 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.21/19.39  (assume a137 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.21/19.39  (assume a138 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.21/19.39  (assume a139 (forall ((B2 tptp.real) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 19.21/19.39  (assume a140 (forall ((B2 tptp.rat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat B2) X)) (tptp.aa_nat_rat (tptp.power_power_rat B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 19.21/19.39  (assume a141 (forall ((B2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) B2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 19.21/19.39  (assume a142 (forall ((B2 tptp.int) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B2) X)) (tptp.aa_nat_int (tptp.power_power_int B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 19.21/19.39  (assume a143 (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a144 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a145 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a146 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a147 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a148 (forall ((B2 tptp.real) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))
% 19.21/19.39  (assume a149 (forall ((B2 tptp.rat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat B2) X)) (tptp.aa_nat_rat (tptp.power_power_rat B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))
% 19.21/19.39  (assume a150 (forall ((B2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) B2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))
% 19.21/19.39  (assume a151 (forall ((B2 tptp.int) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B2) X)) (tptp.aa_nat_int (tptp.power_power_int B2) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))
% 19.21/19.39  (assume a152 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) M)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)))
% 19.21/19.39  (assume a153 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.one_one_real)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 19.21/19.39  (assume a154 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.one_one_rat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 19.21/19.39  (assume a155 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.one_one_nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 19.21/19.39  (assume a156 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) tptp.one)))))
% 19.21/19.39  (assume a157 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 19.21/19.39  (assume a158 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 19.21/19.39  (assume a159 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 19.21/19.39  (assume a160 (forall ((N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) N)))))
% 19.21/19.39  (assume a161 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)))))
% 19.21/19.39  (assume a162 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)))))
% 19.21/19.39  (assume a163 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)))))
% 19.21/19.39  (assume a164 (forall ((X tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.numera6690914467698888265omplex X)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex X)) tptp.one_one_complex))))
% 19.21/19.39  (assume a165 (forall ((X tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real X)) tptp.one_one_real))))
% 19.21/19.39  (assume a166 (forall ((X tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) tptp.one_one_rat))))
% 19.21/19.39  (assume a167 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) tptp.one_one_nat))))
% 19.21/19.39  (assume a168 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int X)) tptp.one_one_int))))
% 19.21/19.39  (assume a169 (forall ((X tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) tptp.one)) (= X tptp.one))))
% 19.21/19.39  (assume a170 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.one_one_real)))
% 19.21/19.39  (assume a171 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) tptp.one_one_rat)))
% 19.21/19.39  (assume a172 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) tptp.one_one_nat)))
% 19.21/19.39  (assume a173 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) tptp.one_one_int)))
% 19.21/19.39  (assume a174 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) tptp.one_one_real))))
% 19.21/19.39  (assume a175 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) tptp.one_one_rat))))
% 19.21/19.39  (assume a176 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) tptp.one_one_nat))))
% 19.21/19.39  (assume a177 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) tptp.one_one_int))))
% 19.21/19.39  (assume a178 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 19.21/19.39  (assume a179 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 19.21/19.39  (assume a180 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 19.21/19.39  (assume a181 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 19.21/19.39  (assume a182 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A)) N) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.21/19.39  (assume a183 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.21/19.39  (assume a184 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A)) N) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.21/19.39  (assume a185 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a186 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N)))))
% 19.21/19.39  (assume a187 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.21/19.39  (assume a188 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.21/19.39  (assume a189 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 19.21/19.39  (assume a190 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.21/19.39  (assume a191 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)))))))
% 19.21/19.39  (assume a192 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) N2)))))))
% 19.21/19.39  (assume a193 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)))))))
% 19.21/19.39  (assume a194 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) N2)))))))
% 19.21/19.39  (assume a195 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a196 (forall ((A tptp.rat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a197 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a198 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a199 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)))))))
% 19.21/19.39  (assume a200 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) N2)))))))
% 19.21/19.39  (assume a201 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)))))))
% 19.21/19.39  (assume a202 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) N2)))))))
% 19.21/19.39  (assume a203 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.21/19.39  (assume a204 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.21/19.39  (assume a205 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 19.21/19.39  (assume a206 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.21/19.39  (assume a207 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.one_one_real)))))
% 19.21/19.39  (assume a208 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.one_one_rat)))))
% 19.21/19.39  (assume a209 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.one_one_nat)))))
% 19.21/19.39  (assume a210 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int)))))
% 19.21/19.39  (assume a211 (= (tptp.numera6690914467698888265omplex tptp.one) tptp.one_one_complex))
% 19.21/19.39  (assume a212 (= (tptp.aa_num_real tptp.numeral_numeral_real tptp.one) tptp.one_one_real))
% 19.21/19.39  (assume a213 (= (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one) tptp.one_one_rat))
% 19.21/19.39  (assume a214 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 19.21/19.39  (assume a215 (= (tptp.aa_num_int tptp.numeral_numeral_int tptp.one) tptp.one_one_int))
% 19.21/19.39  (assume a216 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat))
% 19.21/19.39  (assume a217 (forall ((B2 tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) K)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N3)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) tptp.one_one_nat))))))))))
% 19.21/19.39  (assume a218 (forall ((B2 tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N3)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) tptp.one_one_nat))))))))))
% 19.21/19.39  (assume a219 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Y) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a220 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a221 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.minus_minus_rat Y) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a222 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a223 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.21/19.39  (assume a224 (forall ((A tptp.rat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.21/19.39  (assume a225 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.21/19.39  (assume a226 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.21/19.39  (assume a227 (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.one_one_rat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_rat))
% 19.21/19.39  (assume a228 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 19.21/19.39  (assume a229 (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.one_one_real) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real))
% 19.21/19.39  (assume a230 (= (tptp.aa_nat_int (tptp.power_power_int tptp.one_one_int) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 19.21/19.39  (assume a231 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.one_one_complex) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex))
% 19.21/19.39  (assume a232 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K) N)))))))
% 19.21/19.39  (assume a233 (forall ((A tptp.complex) (B2 tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) N) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_nat_complex (tptp.power_power_complex B2) N)))))
% 19.21/19.39  (assume a234 (forall ((A tptp.real) (B2 tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)))))
% 19.21/19.39  (assume a235 (forall ((A tptp.rat) (B2 tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) N) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N)))))
% 19.21/19.39  (assume a236 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) K)))))
% 19.21/19.39  (assume a237 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K)) I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) I)) K)))))
% 19.21/19.39  (assume a238 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) J)))))
% 19.21/19.39  (assume a239 (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) tptp.na)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.xa) tptp.na)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.na)))))
% 19.21/19.39  (assume a240 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) A))))
% 19.21/19.39  (assume a241 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) A))))
% 19.21/19.39  (assume a242 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) A))))
% 19.21/19.39  (assume a243 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) A))))
% 19.21/19.39  (assume a244 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) B2) A))))
% 19.21/19.39  (assume a245 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) B2) A))))
% 19.21/19.39  (assume a246 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) B2) A))))
% 19.21/19.39  (assume a247 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) B2) A))))
% 19.21/19.39  (assume a248 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))))))
% 19.21/19.39  (assume a249 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))))))
% 19.21/19.39  (assume a250 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.21/19.39  (assume a251 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.21/19.39  (assume a252 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) X)) N) Y))))
% 19.21/19.39  (assume a253 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)))))
% 19.21/19.39  (assume a254 (forall ((I tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) I)) I))))
% 19.21/19.39  (assume a255 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a256 (forall ((X tptp.nat)) (=> (forall ((N3 tptp.nat)) (not (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) N3)))) (not (forall ((N3 tptp.nat)) (not (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) (tptp.aa_nat_nat tptp.suc N3)))))))))
% 19.21/19.39  (assume a257 (forall ((X tptp.nat) (D tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.vEBT_VEBT_bit_concat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) D)) D) X)))
% 19.21/19.39  (assume a258 (forall ((X22 tptp.nat) (Y2 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc X22) (tptp.aa_nat_nat tptp.suc Y2)) (= X22 Y2))))
% 19.21/19.39  (assume a259 (forall ((Nat tptp.nat) (Nat2 tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc Nat) (tptp.aa_nat_nat tptp.suc Nat2)) (= Nat Nat2))))
% 19.21/19.39  (assume a260 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.21/19.39  (assume a261 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.21/19.39  (assume a262 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.21/19.39  (assume a263 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.21/19.39  (assume a264 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.21/19.39  (assume a265 (forall ((V tptp.num) (W tptp.num) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num V) W))) Z))))
% 19.21/19.39  (assume a266 (forall ((V tptp.num) (W tptp.num) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num V) W))) Z))))
% 19.21/19.39  (assume a267 (forall ((V tptp.num) (W tptp.num) (Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num V) W))) Z))))
% 19.21/19.39  (assume a268 (forall ((V tptp.num) (W tptp.num) (Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.times_times_num V) W))) Z))))
% 19.21/19.39  (assume a269 (forall ((V tptp.num) (W tptp.num) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num V) W))) Z))))
% 19.21/19.39  (assume a270 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) X)) N) X))))
% 19.21/19.39  (assume a271 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a272 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) tptp.one_one_int) A)))
% 19.21/19.39  (assume a273 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.one_one_complex) A)))
% 19.21/19.39  (assume a274 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) tptp.one_one_real) A)))
% 19.21/19.39  (assume a275 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) tptp.one_one_rat) A)))
% 19.21/19.39  (assume a276 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a277 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) tptp.one_one_int) A)))
% 19.21/19.39  (assume a278 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc N)))))
% 19.21/19.39  (assume a279 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))))))
% 19.21/19.39  (assume a280 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a281 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))
% 19.21/19.39  (assume a282 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))
% 19.21/19.39  (assume a283 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a284 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))
% 19.21/19.39  (assume a285 (forall ((M tptp.nat) (N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) K))))
% 19.21/19.39  (assume a286 (forall ((M tptp.nat) (N tptp.nat)) (= (= tptp.one_one_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (and (= M tptp.one_one_nat) (= N tptp.one_one_nat)))))
% 19.21/19.39  (assume a287 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N) tptp.one_one_nat) (and (= M tptp.one_one_nat) (= N tptp.one_one_nat)))))
% 19.21/19.39  (assume a288 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.21/19.39  (assume a289 (forall ((H tptp.nat) (L tptp.nat) (D tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.vEBT_VEBT_bit_concat H) L) D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat H) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) D))) L))))
% 19.21/19.39  (assume a290 (forall ((V tptp.num) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.plus_plus_complex B2) C)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) C)))))
% 19.21/19.39  (assume a291 (forall ((V tptp.num) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) C)))))
% 19.21/19.39  (assume a292 (forall ((V tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) C)))))
% 19.21/19.39  (assume a293 (forall ((V tptp.num) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) C)))))
% 19.21/19.39  (assume a294 (forall ((V tptp.num) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) C)))))
% 19.21/19.39  (assume a295 (forall ((A tptp.complex) (B2 tptp.complex) (V tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex B2) (tptp.numera6690914467698888265omplex V))))))
% 19.21/19.39  (assume a296 (forall ((A tptp.real) (B2 tptp.real) (V tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 19.21/19.39  (assume a297 (forall ((A tptp.rat) (B2 tptp.rat) (V tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat V))))))
% 19.21/19.39  (assume a298 (forall ((A tptp.nat) (B2 tptp.nat) (V tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat V))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_num_nat tptp.numeral_numeral_nat V))))))
% 19.21/19.39  (assume a299 (forall ((A tptp.int) (B2 tptp.int) (V tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_num_int tptp.numeral_numeral_int V))))))
% 19.21/19.39  (assume a300 (forall ((A tptp.complex) (B2 tptp.complex) (V tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2)) (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex B2) (tptp.numera6690914467698888265omplex V))))))
% 19.21/19.39  (assume a301 (forall ((A tptp.real) (B2 tptp.real) (V tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 19.21/19.39  (assume a302 (forall ((A tptp.rat) (B2 tptp.rat) (V tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat V))))))
% 19.21/19.39  (assume a303 (forall ((A tptp.int) (B2 tptp.int) (V tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_num_int tptp.numeral_numeral_int V))))))
% 19.21/19.39  (assume a304 (forall ((V tptp.num) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.minus_minus_complex B2) C)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) C)))))
% 19.21/19.39  (assume a305 (forall ((V tptp.num) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) C)))))
% 19.21/19.39  (assume a306 (forall ((V tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) C)))))
% 19.21/19.39  (assume a307 (forall ((V tptp.num) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) C)))))
% 19.21/19.39  (assume a308 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)))))
% 19.21/19.39  (assume a309 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_nat) N)))
% 19.21/19.39  (assume a310 (= (tptp.aa_num_num (tptp.plus_plus_num tptp.one) tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one)))
% 19.21/19.39  (assume a311 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) B2)))))
% 19.21/19.39  (assume a312 (forall ((A tptp.rat) (B2 tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) B2)))))
% 19.21/19.39  (assume a313 (forall ((B2 tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_num_real tptp.numeral_numeral_real W))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)))))))
% 19.21/19.39  (assume a314 (forall ((B2 tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))
% 19.21/19.39  (assume a315 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) B2)))))
% 19.21/19.39  (assume a316 (forall ((A tptp.rat) (B2 tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) B2)))))
% 19.21/19.39  (assume a317 (forall ((B2 tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_num_real tptp.numeral_numeral_real W))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)))))))
% 19.21/19.39  (assume a318 (forall ((B2 tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))
% 19.21/19.39  (assume a319 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K))) I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc J)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) I))))))
% 19.21/19.39  (assume a320 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat tptp.suc J))))))
% 19.21/19.39  (assume a321 (forall ((A tptp.complex) (M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.21/19.39  (assume a322 (forall ((A tptp.real) (M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.21/19.39  (assume a323 (forall ((A tptp.rat) (M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.21/19.39  (assume a324 (forall ((A tptp.nat) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.21/19.39  (assume a325 (forall ((A tptp.int) (M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.21/19.39  (assume a326 (forall ((A tptp.complex) (M tptp.num) (N tptp.num) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N)))) B2))))
% 19.21/19.39  (assume a327 (forall ((A tptp.real) (M tptp.num) (N tptp.num) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N)))) B2))))
% 19.21/19.39  (assume a328 (forall ((A tptp.rat) (M tptp.num) (N tptp.num) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N)))) B2))))
% 19.21/19.39  (assume a329 (forall ((A tptp.nat) (M tptp.num) (N tptp.num) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N)))) B2))))
% 19.21/19.39  (assume a330 (forall ((A tptp.int) (M tptp.num) (N tptp.num) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num M) N)))) B2))))
% 19.21/19.39  (assume a331 (forall ((N tptp.num)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 19.21/19.39  (assume a332 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))))
% 19.21/19.39  (assume a333 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))))
% 19.21/19.39  (assume a334 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a335 (= (tptp.aa_nat_nat tptp.suc tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a336 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a337 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a338 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc M)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)))))
% 19.21/19.39  (assume a339 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat tptp.suc X) (tptp.aa_nat_nat tptp.suc Y)) (= X Y))))
% 19.21/19.39  (assume a340 (forall ((N tptp.nat)) (not (= N (tptp.aa_nat_nat tptp.suc N)))))
% 19.21/19.39  (assume a341 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) N)) (= M N))))
% 19.21/19.39  (assume a342 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) A))))
% 19.21/19.39  (assume a343 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) A))))
% 19.21/19.39  (assume a344 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) A))))
% 19.21/19.39  (assume a345 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) A))))
% 19.21/19.39  (assume a346 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) A))))
% 19.21/19.39  (assume a347 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.21/19.39  (assume a348 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.21/19.39  (assume a349 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.21/19.39  (assume a350 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 19.21/19.39  (assume a351 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.21/19.39  (assume a352 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a353 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a354 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.21/19.39  (assume a355 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 19.21/19.39  (assume a356 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))
% 19.21/19.39  (assume a357 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 19.21/19.39  (assume a358 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a359 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a360 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))
% 19.21/19.39  (assume a361 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.21/19.39  (assume a362 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 19.21/19.39  (assume a363 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))
% 19.21/19.39  (assume a364 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)))))
% 19.21/19.39  (assume a365 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 19.21/19.39  (assume a366 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a367 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a368 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))
% 19.21/19.39  (assume a369 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.21/19.39  (assume a370 (forall ((A tptp.real) (E tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) E)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) E)) C))))
% 19.21/19.39  (assume a371 (forall ((A tptp.rat) (E tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) E)) C))))
% 19.21/19.39  (assume a372 (forall ((A tptp.nat) (E tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) E)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) E)) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) E)) C))))
% 19.21/19.39  (assume a373 (forall ((A tptp.int) (E tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) E)) C))))
% 19.21/19.39  (assume a374 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a375 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a376 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.21/19.39  (assume a377 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 19.21/19.39  (assume a378 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))
% 19.21/19.39  (assume a379 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 19.21/19.39  (assume a380 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)))))
% 19.21/19.39  (assume a381 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C)) A) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)))))
% 19.21/19.39  (assume a382 (forall ((B2 tptp.nat) (C tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) C)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)))))
% 19.21/19.39  (assume a383 (forall ((B2 tptp.int) (C tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)))))
% 19.21/19.39  (assume a384 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))
% 19.21/19.39  (assume a385 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))
% 19.21/19.39  (assume a386 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)))))
% 19.21/19.39  (assume a387 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)))))
% 19.21/19.39  (assume a388 (forall ((I tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) K)) (=> (not (= K (tptp.aa_nat_nat tptp.suc I))) (not (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J2)) (not (= K (tptp.aa_nat_nat tptp.suc J2))))))))))
% 19.21/19.39  (assume a389 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a390 (forall ((I tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc I)) K)) (not (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J2)) (not (= K (tptp.aa_nat_nat tptp.suc J2)))))))))
% 19.21/19.39  (assume a391 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (=> (not (= (tptp.aa_nat_nat tptp.suc M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M)) N))))))
% 19.21/19.39  (assume a392 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat tptp.suc N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (= M N)))))
% 19.21/19.39  (assume a393 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat tptp.suc N))))))
% 19.21/19.39  (assume a394 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I2)))) (or (tptp.pp (tptp.aa_nat_bool P N)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (tptp.pp (tptp.aa_nat_bool P I2))))))))
% 19.21/19.39  (assume a395 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat tptp.suc N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= M N)))))
% 19.21/19.39  (assume a396 (forall ((M tptp.nat) (N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M))))))
% 19.21/19.39  (assume a397 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I2)))) (and (tptp.pp (tptp.aa_nat_bool P N)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (tptp.pp (tptp.aa_nat_bool P I2))))))))
% 19.21/19.39  (assume a398 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (exists ((M2 tptp.nat)) (and (= M (tptp.aa_nat_nat tptp.suc M2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M2)))))))
% 19.21/19.39  (assume a399 (forall ((N tptp.nat) (M tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M))) (= M N)))))
% 19.21/19.39  (assume a400 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a401 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc I)) K))))))
% 19.21/19.39  (assume a402 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I3) (tptp.aa_nat_nat tptp.suc I3)))) (=> (forall ((I3 tptp.nat) (J2 tptp.nat) (K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J2) K2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P J2) K2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I3) K2))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I) J)))))))
% 19.21/19.39  (assume a403 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (forall ((I3 tptp.nat)) (=> (= J (tptp.aa_nat_nat tptp.suc I3)) (tptp.pp (tptp.aa_nat_bool P I3)))) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) J)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I3))) (tptp.pp (tptp.aa_nat_bool P I3))))) (tptp.pp (tptp.aa_nat_bool P I)))))))
% 19.21/19.39  (assume a404 (forall ((N tptp.nat) (M tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M))) (= N M)))))
% 19.21/19.39  (assume a405 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a406 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (= M (tptp.aa_nat_nat tptp.suc N))))))
% 19.21/19.39  (assume a407 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))))))
% 19.21/19.39  (assume a408 (forall ((N tptp.nat) (M3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) M3)) (exists ((M4 tptp.nat)) (= M3 (tptp.aa_nat_nat tptp.suc M4))))))
% 19.21/19.39  (assume a409 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= M (tptp.aa_nat_nat tptp.suc N))))))
% 19.21/19.39  (assume a410 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) N)))))
% 19.21/19.39  (assume a411 (forall ((M tptp.nat) (N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) M)))))
% 19.21/19.39  (assume a412 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M5)) N3)) (tptp.pp (tptp.aa_nat_bool P M5)))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 19.21/19.39  (assume a413 (forall ((M tptp.nat) (N tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (=> (tptp.pp (tptp.aa_nat_bool P M)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N3)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 19.21/19.39  (assume a414 (forall ((M tptp.nat) (N tptp.nat) (R tptp.fun_nat_fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (=> (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X3) X3))) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat) (Z2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X3) Y3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R Y3) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R X3) Z2))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R N3) (tptp.aa_nat_nat tptp.suc N3)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool R M) N))))))))
% 19.21/19.39  (assume a415 (forall ((M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) M))))))
% 19.21/19.39  (assume a416 (forall ((M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) M)))))
% 19.21/19.39  (assume a417 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) L)))))))
% 19.21/19.39  (assume a418 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) K))))))
% 19.21/19.39  (assume a419 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) J))))))
% 19.21/19.39  (assume a420 (forall ((A3 tptp.nat) (K tptp.nat) (A tptp.nat)) (=> (= A3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) A)) (= (tptp.aa_nat_nat tptp.suc A3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat tptp.suc A))))))
% 19.21/19.39  (assume a421 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.suc M)) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))
% 19.21/19.39  (assume a422 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.suc M)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.aa_nat_nat tptp.suc N)))))
% 19.21/19.39  (assume a423 (forall ((M tptp.nat) (N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K)))))
% 19.21/19.39  (assume a424 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)))))
% 19.21/19.39  (assume a425 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) I)))))))
% 19.21/19.39  (assume a426 (forall ((M tptp.nat) (N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K)))))
% 19.21/19.39  (assume a427 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)))))
% 19.21/19.39  (assume a428 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) N) N)))
% 19.21/19.39  (assume a429 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) tptp.one_one_nat) N)))
% 19.21/19.39  (assume a430 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.39  (assume a431 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N) (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one))))
% 19.21/19.39  (assume a432 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) A) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.21/19.39  (assume a433 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.21/19.39  (assume a434 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.21/19.39  (assume a435 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 19.21/19.39  (assume a436 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.21/19.39  (assume a437 (forall ((A tptp.complex) (B2 tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_nat_complex (tptp.power_power_complex B2) N)))))
% 19.21/19.39  (assume a438 (forall ((A tptp.real) (B2 tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)))))
% 19.21/19.39  (assume a439 (forall ((A tptp.rat) (B2 tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N)))))
% 19.21/19.39  (assume a440 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)))))
% 19.21/19.39  (assume a441 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N)))))
% 19.21/19.39  (assume a442 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) X)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) (tptp.aa_nat_complex (tptp.power_power_complex X) N))))))
% 19.21/19.39  (assume a443 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))
% 19.21/19.39  (assume a444 (forall ((X tptp.rat) (Y tptp.rat) (N tptp.nat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) X)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X) N)) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat X) N))))))
% 19.21/19.39  (assume a445 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))))))
% 19.21/19.39  (assume a446 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X) N)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_nat_int (tptp.power_power_int X) N))))))
% 19.21/19.39  (assume a447 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) N))))
% 19.21/19.39  (assume a448 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) N))))
% 19.21/19.39  (assume a449 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) M)) N))))
% 19.21/19.39  (assume a450 (forall ((A tptp.complex) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M)) N))))
% 19.21/19.39  (assume a451 (forall ((I tptp.nat) (U tptp.nat) (J tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) U)) K))))
% 19.21/19.39  (assume a452 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) Q2))))
% 19.21/19.39  (assume a453 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a454 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a455 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a456 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a457 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.39  (assume a458 (forall ((M tptp.real) (N tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) M)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real M) N)))))))
% 19.21/19.39  (assume a459 (forall ((M tptp.rat) (N tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) M)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat M) N)))))))
% 19.21/19.39  (assume a460 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)))))))
% 19.21/19.39  (assume a461 (forall ((M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) M)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M) N)))))))
% 19.21/19.39  (assume a462 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) E)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) E)) D)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) E)) C) D))))
% 19.21/19.39  (assume a463 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) E)) D)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) E)) C) D))))
% 19.21/19.39  (assume a464 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) E)) D)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) E)) C) D))))
% 19.21/19.39  (assume a465 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) E)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) E)) D)) (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) E)) D)))))
% 19.21/19.39  (assume a466 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) E)) D)) (= C (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A)) E)) D)))))
% 19.21/19.39  (assume a467 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) E)) D)) (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A)) E)) D)))))
% 19.21/19.39  (assume a468 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)))))
% 19.21/19.39  (assume a469 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_rat_rat (tptp.minus_minus_rat X) Y)))))
% 19.21/19.39  (assume a470 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y)))))
% 19.21/19.39  (assume a471 (forall ((X tptp.real) (Y tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) A)) B2)))))
% 19.21/19.39  (assume a472 (forall ((X tptp.rat) (Y tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) (tptp.aa_rat_rat (tptp.minus_minus_rat Y) B2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) A)) B2)))))
% 19.21/19.39  (assume a473 (forall ((X tptp.int) (Y tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) A)) B2)))))
% 19.21/19.39  (assume a474 (forall ((F tptp.fun_nat_real) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F N4)))))))
% 19.21/19.39  (assume a475 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N3)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F N4)))))))
% 19.21/19.39  (assume a476 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N3)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F N4)))))))
% 19.21/19.39  (assume a477 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F N4)))))))
% 19.21/19.39  (assume a478 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F N4)))))))
% 19.21/19.39  (assume a479 (forall ((F tptp.fun_nat_real) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F N)) (tptp.aa_nat_real F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 19.21/19.39  (assume a480 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N3)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 19.21/19.39  (assume a481 (forall ((F tptp.fun_nat_num) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N3)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 19.21/19.39  (assume a482 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 19.21/19.39  (assume a483 (forall ((F tptp.fun_nat_int) (N tptp.nat) (M tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 19.21/19.39  (assume a484 (forall ((F tptp.fun_nat_set_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N3) (tptp.aa_nat_set_nat F (tptp.aa_nat_nat tptp.suc N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N) (tptp.aa_nat_set_nat F N4))))))
% 19.21/19.39  (assume a485 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N3)) (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N)) (tptp.aa_nat_rat F N4)))))))
% 19.21/19.39  (assume a486 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N3)) (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N)) (tptp.aa_nat_num F N4)))))))
% 19.21/19.39  (assume a487 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N3)) (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N)) (tptp.aa_nat_nat F N4)))))))
% 19.21/19.39  (assume a488 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N3)) (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N)) (tptp.aa_nat_int F N4)))))))
% 19.21/19.39  (assume a489 (forall ((F tptp.fun_nat_set_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F (tptp.aa_nat_nat tptp.suc N3)) (tptp.aa_nat_set_nat F N3))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat F N4) (tptp.aa_nat_set_nat F N))))))
% 19.21/19.39  (assume a490 (forall ((F tptp.fun_nat_rat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_rat F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F N4)) (tptp.aa_nat_rat F N)))))))
% 19.21/19.39  (assume a491 (forall ((F tptp.fun_nat_num) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_num F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F N4)) (tptp.aa_nat_num F N)))))))
% 19.21/19.39  (assume a492 (forall ((F tptp.fun_nat_nat) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_nat F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F N4)) (tptp.aa_nat_nat F N)))))))
% 19.21/19.39  (assume a493 (forall ((F tptp.fun_nat_int) (N tptp.nat) (N4 tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_int F N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F N4)) (tptp.aa_nat_int F N)))))))
% 19.21/19.39  (assume a494 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M)) N)))))
% 19.21/19.39  (assume a495 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a496 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool P I)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N3) J)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))))))) (tptp.pp (tptp.aa_nat_bool P J)))))))
% 19.21/19.39  (assume a497 (forall ((I tptp.nat) (J tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool P J)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N3) J)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))) (tptp.pp (tptp.aa_nat_bool P N3)))))) (tptp.pp (tptp.aa_nat_bool P I)))))))
% 19.21/19.39  (assume a498 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a499 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M))) (= N M)))))
% 19.21/19.39  (assume a500 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a501 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) M)))))
% 19.21/19.39  (assume a502 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat tptp.suc N))))))
% 19.21/19.39  (assume a503 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (exists ((K2 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K2)))))))
% 19.21/19.39  (assume a504 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (exists ((K3 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K3)))))))
% 19.21/19.39  (assume a505 (forall ((I tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) I))))))
% 19.21/19.39  (assume a506 (forall ((I tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M))))))
% 19.21/19.39  (assume a507 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (not (forall ((Q3 tptp.nat)) (not (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) Q3)))))))))
% 19.21/19.39  (assume a508 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_nat_nat tptp.suc M)))))
% 19.21/19.39  (assume a509 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))
% 19.21/19.39  (assume a510 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M)) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))))
% 19.21/19.39  (assume a511 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))
% 19.21/19.39  (assume a512 (= (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.suc))
% 19.21/19.39  (assume a513 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) N))))
% 19.21/19.39  (assume a514 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)) N))))
% 19.21/19.39  (assume a515 (forall ((V tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.plus_plus_num V) tptp.one))) N))))
% 19.21/19.39  (assume a516 (forall ((N tptp.nat) (Q2 tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2)) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc Q2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) Q2)))))
% 19.21/19.39  (assume a517 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) E)) D))))))
% 19.21/19.39  (assume a518 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A)) E)) D))))))
% 19.21/19.39  (assume a519 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A)) E)) D))))))
% 19.21/19.39  (assume a520 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) E)) C)) D)))))
% 19.21/19.39  (assume a521 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) E)) C)) D)))))
% 19.21/19.39  (assume a522 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) E)) C)) D)))))
% 19.21/19.39  (assume a523 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) E)) D))))))
% 19.21/19.39  (assume a524 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A)) E)) D))))))
% 19.21/19.39  (assume a525 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A)) E)) D))))))
% 19.21/19.39  (assume a526 (forall ((A tptp.real) (E tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) E)) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) E)) D))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) E)) C)) D)))))
% 19.21/19.39  (assume a527 (forall ((A tptp.rat) (E tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) E)) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) E)) D))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) E)) C)) D)))))
% 19.21/19.39  (assume a528 (forall ((A tptp.int) (E tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) E)) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) E)) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) E)) C)) D)))))
% 19.21/19.39  (assume a529 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) X)) tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) tptp.one_one_complex)) (tptp.aa_complex_complex (tptp.minus_minus_complex X) tptp.one_one_complex)))))
% 19.21/19.39  (assume a530 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)))))
% 19.21/19.39  (assume a531 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.minus_minus_rat X) tptp.one_one_rat)))))
% 19.21/19.39  (assume a532 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) tptp.one_one_int)))))
% 19.21/19.39  (assume a533 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex tptp.one)) A)))
% 19.21/19.39  (assume a534 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) A)))
% 19.21/19.39  (assume a535 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A)))
% 19.21/19.39  (assume a536 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) A)))
% 19.21/19.39  (assume a537 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) A)))
% 19.21/19.39  (assume a538 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex tptp.one)) A) A)))
% 19.21/19.39  (assume a539 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) A) A)))
% 19.21/19.39  (assume a540 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) A) A)))
% 19.21/19.39  (assume a541 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) A) A)))
% 19.21/19.39  (assume a542 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) A) A)))
% 19.21/19.39  (assume a543 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) tptp.one_one_complex) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N)) tptp.one_one_complex))))
% 19.21/19.39  (assume a544 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y) tptp.one_one_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N)) tptp.one_one_real))))
% 19.21/19.39  (assume a545 (forall ((X tptp.rat) (Y tptp.rat) (N tptp.nat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y) tptp.one_one_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X) N)) (tptp.aa_nat_rat (tptp.power_power_rat Y) N)) tptp.one_one_rat))))
% 19.21/19.39  (assume a546 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y) tptp.one_one_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) N)) tptp.one_one_nat))))
% 19.21/19.39  (assume a547 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y) tptp.one_one_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int X) N)) (tptp.aa_nat_int (tptp.power_power_int Y) N)) tptp.one_one_int))))
% 19.21/19.39  (assume a548 (forall ((A tptp.complex) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M)) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.21/19.39  (assume a549 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.21/19.39  (assume a550 (forall ((A tptp.rat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M)) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.21/19.39  (assume a551 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 19.21/19.39  (assume a552 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.21/19.39  (assume a553 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc M)) N)))))
% 19.21/19.39  (assume a554 (forall ((M tptp.nat) (I tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) I)))))
% 19.21/19.39  (assume a555 (forall ((N tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))) M))))
% 19.21/19.39  (assume a556 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) N)) M))))
% 19.21/19.39  (assume a557 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 19.21/19.39  (assume a558 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 19.21/19.39  (assume a559 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 19.21/19.39  (assume a560 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.21/19.39  (assume a561 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 19.21/19.39  (assume a562 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 19.21/19.39  (assume a563 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 19.21/19.39  (assume a564 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.21/19.39  (assume a565 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.21/19.39  (assume a566 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.21/19.39  (assume a567 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.21/19.39  (assume a568 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)))))))
% 19.21/19.39  (assume a569 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 19.21/19.39  (assume a570 (forall ((X tptp.rat) (Y tptp.rat)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))))))
% 19.21/19.39  (assume a571 (forall ((X tptp.int) (Y tptp.int)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 19.21/19.39  (assume a572 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N))))))
% 19.21/19.39  (assume a573 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M)) N)))))
% 19.21/19.39  (assume a574 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N)))))))
% 19.21/19.39  (assume a575 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M)) N))))))
% 19.21/19.39  (assume a576 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N))))))
% 19.21/19.39  (assume a577 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M) N)))))
% 19.21/19.39  (assume a578 (forall ((M tptp.nat) (N tptp.nat)) (= (not (= M N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))))))
% 19.21/19.39  (assume a579 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 19.21/19.39  (assume a580 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (not (= M N)))))
% 19.21/19.39  (assume a581 (forall ((S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat S) T)) (not (= S T)))))
% 19.21/19.39  (assume a582 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N)))))
% 19.21/19.39  (assume a583 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N3)) (tptp.pp (tptp.aa_nat_bool P M5)))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 19.21/19.39  (assume a584 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool P N3))) (exists ((M5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N3)) (not (tptp.pp (tptp.aa_nat_bool P M5))))))) (tptp.pp (tptp.aa_nat_bool P N)))))
% 19.21/19.39  (assume a585 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 19.21/19.39  (assume a586 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N))))
% 19.21/19.39  (assume a587 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) K))))))
% 19.21/19.39  (assume a588 (forall ((M tptp.nat) (N tptp.nat)) (=> (= M N) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a589 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= M N)))))
% 19.21/19.39  (assume a590 (forall ((M tptp.nat) (N tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))
% 19.21/19.39  (assume a591 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B2)))) (exists ((X3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P X3)) (forall ((Y4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y4) X3))))))))))
% 19.21/19.39  (assume a592 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) K)) J))))
% 19.21/19.39  (assume a593 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B2))))
% 19.21/19.39  (assume a594 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B2))))
% 19.21/19.39  (assume a595 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B2))))
% 19.21/19.39  (assume a596 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B2))))
% 19.21/19.39  (assume a597 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) B2))))
% 19.21/19.39  (assume a598 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex Z) Z))))
% 19.21/19.39  (assume a599 (forall ((Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) Z))))
% 19.21/19.39  (assume a600 (forall ((Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) Z))))
% 19.21/19.39  (assume a601 (forall ((Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) Z))))
% 19.21/19.39  (assume a602 (forall ((Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) Z))))
% 19.21/19.39  (assume a603 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_complex_complex (tptp.plus_plus_complex Z) Z))))
% 19.21/19.39  (assume a604 (forall ((Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) Z))))
% 19.21/19.39  (assume a605 (forall ((Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) Z))))
% 19.21/19.39  (assume a606 (forall ((Z tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) Z))))
% 19.21/19.39  (assume a607 (forall ((Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) Z))))
% 19.21/19.39  (assume a608 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.times_times_complex A) A))))
% 19.21/19.39  (assume a609 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A))))
% 19.21/19.39  (assume a610 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A))))
% 19.21/19.39  (assume a611 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) A))))
% 19.21/19.39  (assume a612 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A))))
% 19.21/19.39  (assume a613 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex X) X)) X)) X))))
% 19.21/19.39  (assume a614 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) X)) X))))
% 19.21/19.39  (assume a615 (forall ((X tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) X)) X))))
% 19.21/19.39  (assume a616 (forall ((X tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) X)) X)) X))))
% 19.21/19.39  (assume a617 (forall ((X tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) X)) X))))
% 19.21/19.39  (assume a618 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a619 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a620 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a621 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a622 (forall ((J tptp.nat) (I tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat I) J)) U)) M)) N))))))
% 19.21/19.39  (assume a623 (forall ((I tptp.nat) (J tptp.nat) (U tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) U)) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) U)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I)) U)) N)))))))
% 19.21/19.39  (assume a624 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a625 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a626 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a627 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a628 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a629 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) D)))))
% 19.21/19.39  (assume a630 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) (tptp.aa_rat_rat (tptp.minus_minus_rat C) D)))))
% 19.21/19.39  (assume a631 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)))))
% 19.21/19.39  (assume a632 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (not (= M N))))))
% 19.21/19.39  (assume a633 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a634 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= M N)))))
% 19.21/19.39  (assume a635 (forall ((M tptp.nat) (N tptp.nat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= M N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a636 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (=> (not (= M N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a637 (forall ((F tptp.fun_nat_nat) (I tptp.nat) (J tptp.nat)) (=> (forall ((I3 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) J2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F I3)) (tptp.aa_nat_nat F J2))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat F I)) (tptp.aa_nat_nat F J)))))))
% 19.21/19.39  (assume a638 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) K)))))
% 19.21/19.39  (assume a639 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))))
% 19.21/19.39  (assume a640 (forall ((I tptp.nat) (J tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) I)))))
% 19.21/19.39  (assume a641 (forall ((J tptp.nat) (I tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) I)) I)))))
% 19.21/19.39  (assume a642 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K))))))
% 19.21/19.39  (assume a643 (forall ((I tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) M))))))
% 19.21/19.39  (assume a644 (forall ((I tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) J))))))
% 19.21/19.39  (assume a645 (forall ((K tptp.nat) (L tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) L)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a646 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) N)) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N))))))))
% 19.21/19.39  (assume a647 (forall ((N tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))))
% 19.21/19.39  (assume a648 (forall ((N tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))
% 19.21/19.39  (assume a649 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a650 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)))))
% 19.21/19.39  (assume a651 (forall ((K tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) L)) (exists ((N3 tptp.nat)) (= L (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N3))))))
% 19.21/19.39  (assume a652 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))))
% 19.21/19.39  (assume a653 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K))))))
% 19.21/19.39  (assume a654 (forall ((I tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) M))))))
% 19.21/19.39  (assume a655 (forall ((I tptp.nat) (J tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) J))))))
% 19.21/19.39  (assume a656 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (exists ((K3 tptp.nat)) (= N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K3))))))
% 19.21/19.39  (assume a657 (forall ((M tptp.nat) (N tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) M)))))))
% 19.21/19.39  (assume a658 (forall ((J tptp.nat) (K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) N)) K)))))
% 19.21/19.39  (assume a659 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)) (= M N))))))
% 19.21/19.39  (assume a660 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 19.21/19.39  (assume a661 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))))
% 19.21/19.39  (assume a662 (forall ((M tptp.nat) (N tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) L)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) L))))))
% 19.21/19.39  (assume a663 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) M))))
% 19.21/19.39  (assume a664 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat C) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))))
% 19.21/19.39  (assume a665 (forall ((M tptp.nat) (N tptp.nat) (L tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat L) M))))))
% 19.21/19.39  (assume a666 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a667 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a668 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a669 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)))))
% 19.21/19.39  (assume a670 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))
% 19.21/19.39  (assume a671 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))
% 19.21/19.39  (assume a672 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) N) M)))
% 19.21/19.39  (assume a673 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) N) M)))
% 19.21/19.39  (assume a674 (forall ((I tptp.real) (K tptp.real) (N tptp.real) (J tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) K))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) K))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real N) K)) J))))))))
% 19.21/19.39  (assume a675 (forall ((I tptp.rat) (K tptp.rat) (N tptp.rat) (J tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) K))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) K))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat N) K)) J))))))))
% 19.21/19.39  (assume a676 (forall ((I tptp.nat) (K tptp.nat) (N tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)) J))))))))
% 19.21/19.39  (assume a677 (forall ((I tptp.int) (K tptp.int) (N tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) K))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int N) K)) J))))))))
% 19.21/19.39  (assume a678 (forall ((I tptp.real) (K tptp.real) (N tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real N) K))))))
% 19.21/19.39  (assume a679 (forall ((I tptp.rat) (K tptp.rat) (N tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) (tptp.aa_rat_rat (tptp.minus_minus_rat N) K))))))
% 19.21/19.39  (assume a680 (forall ((I tptp.nat) (K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.21/19.39  (assume a681 (forall ((I tptp.int) (K tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int N) K))))))
% 19.21/19.39  (assume a682 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) tptp.one_one_real))))))
% 19.21/19.39  (assume a683 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) tptp.one_one_rat))))))
% 19.21/19.39  (assume a684 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) tptp.one_one_nat))))))
% 19.21/19.39  (assume a685 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) tptp.one_one_int))))))
% 19.21/19.39  (assume a686 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)))))
% 19.21/19.39  (assume a687 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)))))
% 19.21/19.39  (assume a688 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)))))
% 19.21/19.39  (assume a689 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)))))
% 19.21/19.39  (assume a690 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) A))))
% 19.21/19.39  (assume a691 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) A))))
% 19.21/19.39  (assume a692 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) A))))
% 19.21/19.39  (assume a693 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) A))))
% 19.21/19.39  (assume a694 (forall ((F tptp.fun_nat_nat) (M tptp.nat) (K tptp.nat)) (=> (forall ((M4 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat F M4)) (tptp.aa_nat_nat F N3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat F M)) K)) (tptp.aa_nat_nat F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)))))))
% 19.21/19.39  (assume a695 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))))
% 19.21/19.39  (assume a696 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) C)))))))
% 19.21/19.39  (assume a697 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) M))))
% 19.21/19.39  (assume a698 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) J)))))
% 19.21/19.39  (assume a699 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I) K) (= J (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) I))))))
% 19.21/19.39  (assume a700 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) I)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K)) I)))))
% 19.21/19.39  (assume a701 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K))))))
% 19.21/19.39  (assume a702 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) J))))))
% 19.21/19.39  (assume a703 (forall ((J tptp.nat) (K tptp.nat) (I tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K)) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K))))))
% 19.21/19.39  (assume a704 (forall ((K tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) J)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) K)) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)))))))
% 19.21/19.39  (assume a705 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))
% 19.21/19.39  (assume a706 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_rat_rat (tptp.divide_divide_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))
% 19.21/19.39  (assume a707 (= tptp.res (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.sc)) tptp.miny)))
% 19.21/19.39  (assume a708 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.21/19.39  (assume a709 (forall ((X tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.21/19.39  (assume a710 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat M)) (tptp.numera1916890842035813515d_enat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.21/19.39  (assume a711 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.numera1916890842035813515d_enat M)) (tptp.numera1916890842035813515d_enat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.21/19.39  (assume a712 (forall ((M tptp.nat) (N tptp.nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.21/19.39  (assume a713 (forall ((M tptp.nat) (N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.39  (assume a714 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) B2) A)))
% 19.21/19.39  (assume a715 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) B2) A)))
% 19.21/19.39  (assume a716 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) B2) A)))
% 19.21/19.39  (assume a717 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) B2) A)))
% 19.21/19.39  (assume a718 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) B2) A)))
% 19.21/19.39  (assume a719 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) B2) A)))
% 19.21/19.39  (assume a720 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))
% 19.21/19.39  (assume a721 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2)) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))))
% 19.21/19.39  (assume a722 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2))))
% 19.21/19.39  (assume a723 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))))
% 19.21/19.39  (assume a724 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) A) B2)))
% 19.21/19.39  (assume a725 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) A) B2)))
% 19.21/19.39  (assume a726 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) A) B2)))
% 19.21/19.39  (assume a727 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) A) B2)))
% 19.21/19.39  (assume a728 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))
% 19.21/19.39  (assume a729 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))))
% 19.21/19.39  (assume a730 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2))))
% 19.21/19.39  (assume a731 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))))
% 19.21/19.39  (assume a732 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) B2) A)))
% 19.21/19.39  (assume a733 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) B2) A)))
% 19.21/19.39  (assume a734 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) B2) A)))
% 19.21/19.39  (assume a735 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) B2) A)))
% 19.21/19.39  (assume a736 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (= B2 C))))
% 19.21/19.39  (assume a737 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (= B2 C))))
% 19.21/19.39  (assume a738 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (= B2 C))))
% 19.21/19.39  (assume a739 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B2 C))))
% 19.21/19.39  (assume a740 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (= B2 C))))
% 19.21/19.39  (assume a741 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (= B2 C))))
% 19.21/19.39  (assume a742 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (= B2 C))))
% 19.21/19.39  (assume a743 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B2 C))))
% 19.21/19.39  (assume a744 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))
% 19.21/19.39  (assume a745 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))
% 19.21/19.39  (assume a746 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)))))
% 19.21/19.39  (assume a747 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))
% 19.21/19.39  (assume a748 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))
% 19.21/19.39  (assume a749 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))
% 19.21/19.39  (assume a750 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)))))
% 19.21/19.39  (assume a751 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))
% 19.21/19.39  (assume a752 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)))))
% 19.21/19.39  (assume a753 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)))))
% 19.21/19.39  (assume a754 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)))))
% 19.21/19.39  (assume a755 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)))))
% 19.21/19.39  (assume a756 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)))))
% 19.21/19.39  (assume a757 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)))))
% 19.21/19.39  (assume a758 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)))))
% 19.21/19.39  (assume a759 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)))))
% 19.21/19.39  (assume a760 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 19.21/19.39  (assume a761 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real) A) A)))
% 19.21/19.39  (assume a762 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat) A) A)))
% 19.21/19.39  (assume a763 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 19.21/19.39  (assume a764 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 19.21/19.39  (assume a765 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 19.21/19.39  (assume a766 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.one_one_real) A)))
% 19.21/19.39  (assume a767 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) tptp.one_one_rat) A)))
% 19.21/19.39  (assume a768 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a769 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 19.21/19.39  (assume a770 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.21/19.39  (assume a771 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num tptp.one) N) N)))
% 19.21/19.39  (assume a772 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num M) tptp.one) M)))
% 19.21/19.39  (assume a773 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num (tptp.aa_num_num tptp.bit0 tptp.one)) N) (tptp.aa_num_num tptp.bit0 N))))
% 19.21/19.39  (assume a774 (forall ((A tptp.nat) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.21/19.39  (assume a775 (forall ((A tptp.real) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.21/19.39  (assume a776 (forall ((A tptp.int) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.21/19.39  (assume a777 (forall ((A tptp.complex) (M tptp.num) (N tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat M))) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.21/19.39  (assume a778 (forall ((S2 tptp.set_real)) (=> (exists ((X4 tptp.real)) (tptp.member_real X4 S2)) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.member_real X3 S2) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Z3))))) (exists ((Y3 tptp.real)) (and (forall ((X4 tptp.real)) (=> (tptp.member_real X4 S2) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) Y3)))) (forall ((Z3 tptp.real)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 S2) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Z3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y3) Z3))))))))))
% 19.21/19.39  (assume a779 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N3)))))))
% 19.21/19.39  (assume a780 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y)))))
% 19.21/19.39  (assume a781 (forall ((Z tptp.extended_enat) (Y tptp.extended_enat) (X tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat Z) Y)) (= (tptp.plus_p3455044024723400733d_enat X (tptp.minus_3235023915231533773d_enat Y Z)) (tptp.minus_3235023915231533773d_enat (tptp.plus_p3455044024723400733d_enat X Y) Z)))))
% 19.21/19.39  (assume a782 (forall ((P tptp.fun_Ex8563670519792538868t_bool) (N tptp.extended_enat)) (=> (forall ((N3 tptp.extended_enat)) (=> (forall ((M5 tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat M5) N3)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P M5)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P N3)))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P N)))))
% 19.21/19.39  (assume a783 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a784 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real D) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real C) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a785 (forall ((A tptp.nat) (K tptp.num) (L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.times_times_num K) L))))))
% 19.21/19.39  (assume a786 (forall ((A tptp.int) (K tptp.num) (L tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num K) L))))))
% 19.21/19.39  (assume a787 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a788 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a789 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))
% 19.21/19.39  (assume a790 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.21/19.39  (assume a791 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) A))))
% 19.21/19.39  (assume a792 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) A))))
% 19.21/19.39  (assume a793 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A))))
% 19.21/19.39  (assume a794 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A))))
% 19.21/19.39  (assume a795 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a796 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a797 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))
% 19.21/19.39  (assume a798 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.21/19.39  (assume a799 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a800 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a801 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))
% 19.21/19.39  (assume a802 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.21/19.39  (assume a803 (forall ((X tptp.complex)) (= (= tptp.one_one_complex X) (= X tptp.one_one_complex))))
% 19.21/19.39  (assume a804 (forall ((X tptp.real)) (= (= tptp.one_one_real X) (= X tptp.one_one_real))))
% 19.21/19.39  (assume a805 (forall ((X tptp.rat)) (= (= tptp.one_one_rat X) (= X tptp.one_one_rat))))
% 19.21/19.39  (assume a806 (forall ((X tptp.nat)) (= (= tptp.one_one_nat X) (= X tptp.one_one_nat))))
% 19.21/19.39  (assume a807 (forall ((X tptp.int)) (= (= tptp.one_one_int X) (= X tptp.one_one_int))))
% 19.21/19.39  (assume a808 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (= B2 C))))
% 19.21/19.39  (assume a809 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (= B2 C))))
% 19.21/19.39  (assume a810 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (= B2 C))))
% 19.21/19.39  (assume a811 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B2 C))))
% 19.21/19.39  (assume a812 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (= B2 C))))
% 19.21/19.39  (assume a813 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (= B2 C))))
% 19.21/19.39  (assume a814 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (= B2 C))))
% 19.21/19.39  (assume a815 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B2 C))))
% 19.21/19.39  (assume a816 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)))))
% 19.21/19.39  (assume a817 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)))))
% 19.21/19.39  (assume a818 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)))))
% 19.21/19.39  (assume a819 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)))))
% 19.21/19.39  (assume a820 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A))))
% 19.21/19.39  (assume a821 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A))))
% 19.21/19.39  (assume a822 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A))))
% 19.21/19.39  (assume a823 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A))))
% 19.21/19.39  (assume a824 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (= B2 C))))
% 19.21/19.39  (assume a825 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (= B2 C))))
% 19.21/19.39  (assume a826 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (= B2 C))))
% 19.21/19.39  (assume a827 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (= B2 C))))
% 19.21/19.39  (assume a828 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (= B2 C))))
% 19.21/19.39  (assume a829 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (= B2 C))))
% 19.21/19.39  (assume a830 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)))))
% 19.21/19.39  (assume a831 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)))))
% 19.21/19.39  (assume a832 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)))))
% 19.21/19.39  (assume a833 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)))))
% 19.21/19.39  (assume a834 (forall ((B3 tptp.real) (K tptp.real) (B2 tptp.real) (A tptp.real)) (=> (= B3 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))))))
% 19.21/19.39  (assume a835 (forall ((B3 tptp.rat) (K tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (= B3 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) B2)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))))))
% 19.21/19.39  (assume a836 (forall ((B3 tptp.nat) (K tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (= B3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))))))
% 19.21/19.39  (assume a837 (forall ((B3 tptp.int) (K tptp.int) (B2 tptp.int) (A tptp.int)) (=> (= B3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))))))
% 19.21/19.39  (assume a838 (forall ((A3 tptp.real) (K tptp.real) (A tptp.real) (B2 tptp.real)) (=> (= A3 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A3) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))))))
% 19.21/19.39  (assume a839 (forall ((A3 tptp.rat) (K tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (= A3 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) A)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A3) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))))))
% 19.21/19.39  (assume a840 (forall ((A3 tptp.nat) (K tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (= A3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A3) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))))))
% 19.21/19.39  (assume a841 (forall ((A3 tptp.int) (K tptp.int) (A tptp.int) (B2 tptp.int)) (=> (= A3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A3) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))))))
% 19.21/19.39  (assume a842 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (= I J) (= K L)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L)))))
% 19.21/19.39  (assume a843 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (= I J) (= K L)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L)))))
% 19.21/19.39  (assume a844 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (= I J) (= K L)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L)))))
% 19.21/19.39  (assume a845 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (= I J) (= K L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L)))))
% 19.21/19.39  (assume a846 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)))))
% 19.21/19.39  (assume a847 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)))))
% 19.21/19.39  (assume a848 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)))))
% 19.21/19.39  (assume a849 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)))))
% 19.21/19.39  (assume a850 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) C))))
% 19.21/19.39  (assume a851 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) B2) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) C))))
% 19.21/19.39  (assume a852 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) C)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) C))))
% 19.21/19.39  (assume a853 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C))))
% 19.21/19.39  (assume a854 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) D)) (= (= A B2) (= C D)))))
% 19.21/19.39  (assume a855 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) (tptp.aa_rat_rat (tptp.minus_minus_rat C) D)) (= (= A B2) (= C D)))))
% 19.21/19.39  (assume a856 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)) (= (= A B2) (= C D)))))
% 19.21/19.39  (assume a857 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))
% 19.21/19.39  (assume a858 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))
% 19.21/19.39  (assume a859 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)))))
% 19.21/19.39  (assume a860 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))
% 19.21/19.39  (assume a861 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))
% 19.21/19.39  (assume a862 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))
% 19.21/19.39  (assume a863 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)))))
% 19.21/19.39  (assume a864 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))
% 19.21/19.39  (assume a865 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (exists ((C2 tptp.nat)) (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C2))))))
% 19.21/19.39  (assume a866 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))))))
% 19.21/19.39  (assume a867 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))))))
% 19.21/19.39  (assume a868 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))))))
% 19.21/19.39  (assume a869 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))))))
% 19.21/19.39  (assume a870 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (not (forall ((C3 tptp.nat)) (not (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C3))))))))
% 19.21/19.39  (assume a871 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))))))
% 19.21/19.39  (assume a872 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))))))
% 19.21/19.39  (assume a873 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2))))))
% 19.21/19.39  (assume a874 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))))))
% 19.21/19.39  (assume a875 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) D)))))))
% 19.21/19.39  (assume a876 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) D)))))))
% 19.21/19.39  (assume a877 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) D)))))))
% 19.21/19.39  (assume a878 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) D)))))))
% 19.21/19.39  (assume a879 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real K) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a880 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat K) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a881 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a882 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a883 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (= I J) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real K) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a884 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (= I J) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat K) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a885 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (= I J) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a886 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (= I J) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a887 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) J)) (= K L)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a888 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) J)) (= K L)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a889 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= K L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a890 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (= K L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a891 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) D)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D))))))
% 19.21/19.39  (assume a892 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) (tptp.aa_rat_rat (tptp.minus_minus_rat C) D)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D))))))
% 19.21/19.39  (assume a893 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D))))))
% 19.21/19.39  (assume a894 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C))))))
% 19.21/19.39  (assume a895 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C))))))
% 19.21/19.39  (assume a896 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C))))))
% 19.21/19.39  (assume a897 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) B2))))))
% 19.21/19.39  (assume a898 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat C) A)) (tptp.aa_rat_rat (tptp.minus_minus_rat C) B2))))))
% 19.21/19.39  (assume a899 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B2))))))
% 19.21/19.39  (assume a900 (forall ((A tptp.real) (B2 tptp.real) (D tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real D) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) D)))))))
% 19.21/19.39  (assume a901 (forall ((A tptp.rat) (B2 tptp.rat) (D tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat D) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) D)))))))
% 19.21/19.39  (assume a902 (forall ((A tptp.int) (B2 tptp.int) (D tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int D) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) D)))))))
% 19.21/19.39  (assume a903 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)))))
% 19.21/19.39  (assume a904 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)))))
% 19.21/19.39  (assume a905 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)))))
% 19.21/19.39  (assume a906 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)))))
% 19.21/19.39  (assume a907 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)))))
% 19.21/19.39  (assume a908 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)))))
% 19.21/19.39  (assume a909 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)))))
% 19.21/19.39  (assume a910 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)))))
% 19.21/19.39  (assume a911 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))))))
% 19.21/19.39  (assume a912 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))))))
% 19.21/19.39  (assume a913 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))))))
% 19.21/19.39  (assume a914 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))))))
% 19.21/19.39  (assume a915 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))))))
% 19.21/19.39  (assume a916 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))))))
% 19.21/19.39  (assume a917 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2))))))
% 19.21/19.39  (assume a918 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))))))
% 19.21/19.39  (assume a919 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) D)))))))
% 19.21/19.39  (assume a920 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) D)))))))
% 19.21/19.39  (assume a921 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) D)))))))
% 19.21/19.39  (assume a922 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) D)))))))
% 19.21/19.39  (assume a923 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I) J)) (= K L)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a924 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat I) J)) (= K L)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a925 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= K L)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a926 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (= K L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a927 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (= I J) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real K) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a928 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (= I J) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat K) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a929 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (= I J) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a930 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (= I J) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a931 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real K) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a932 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat K) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a933 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a934 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a935 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C))))))
% 19.21/19.39  (assume a936 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C))))))
% 19.21/19.39  (assume a937 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C))))))
% 19.21/19.39  (assume a938 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) B2))))))
% 19.21/19.39  (assume a939 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat C) A)) (tptp.aa_rat_rat (tptp.minus_minus_rat C) B2))))))
% 19.21/19.39  (assume a940 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B2))))))
% 19.21/19.39  (assume a941 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) D)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D))))))
% 19.21/19.39  (assume a942 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) (tptp.aa_rat_rat (tptp.minus_minus_rat C) D)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D))))))
% 19.21/19.39  (assume a943 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) D)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D))))))
% 19.21/19.39  (assume a944 (forall ((A tptp.real) (B2 tptp.real) (D tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) D)))))))
% 19.21/19.39  (assume a945 (forall ((A tptp.rat) (B2 tptp.rat) (D tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat D) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) D)))))))
% 19.21/19.39  (assume a946 (forall ((A tptp.int) (B2 tptp.int) (D tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int D) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) D)))))))
% 19.21/19.39  (assume a947 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) tptp.one_one_complex) A)))
% 19.21/19.39  (assume a948 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.one_one_real) A)))
% 19.21/19.39  (assume a949 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) tptp.one_one_rat) A)))
% 19.21/19.39  (assume a950 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.one_one_nat) A)))
% 19.21/19.39  (assume a951 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.one_one_int) A)))
% 19.21/19.39  (assume a952 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.one_one_complex) A) A)))
% 19.21/19.39  (assume a953 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real) A) A)))
% 19.21/19.39  (assume a954 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat) A) A)))
% 19.21/19.39  (assume a955 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat) A) A)))
% 19.21/19.39  (assume a956 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int) A) A)))
% 19.21/19.39  (assume a957 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)))))
% 19.21/19.39  (assume a958 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)))))
% 19.21/19.39  (assume a959 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)))))
% 19.21/19.39  (assume a960 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)))))
% 19.21/19.39  (assume a961 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2) A) (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)))))
% 19.21/19.39  (assume a962 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2) A) (= C (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)))))
% 19.21/19.39  (assume a963 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2) A) (= C (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)))))
% 19.21/19.39  (assume a964 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2) A) (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)))))
% 19.21/19.39  (assume a965 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) B2))))
% 19.21/19.39  (assume a966 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C)) B2))))
% 19.21/19.39  (assume a967 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C)) B2))))
% 19.21/19.39  (assume a968 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) B2))))
% 19.21/19.39  (assume a969 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B2))))
% 19.21/19.39  (assume a970 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B2))))
% 19.21/19.39  (assume a971 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) B2))))
% 19.21/19.39  (assume a972 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B2))))
% 19.21/19.39  (assume a973 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B2))))
% 19.21/19.39  (assume a974 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C))))
% 19.21/19.39  (assume a975 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) C)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C))))
% 19.21/19.39  (assume a976 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C))))
% 19.21/19.39  (assume a977 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) C))))
% 19.21/19.39  (assume a978 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.minus_minus_rat C) B2)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) C))))
% 19.21/19.39  (assume a979 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) C))))
% 19.21/19.39  (assume a980 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) C) (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2)))))
% 19.21/19.39  (assume a981 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) C) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2)))))
% 19.21/19.39  (assume a982 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) C) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2)))))
% 19.21/19.39  (assume a983 (forall ((A3 tptp.real) (K tptp.real) (A tptp.real) (B2 tptp.real)) (=> (= A3 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A3) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))))
% 19.21/19.39  (assume a984 (forall ((A3 tptp.rat) (K tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (= A3 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) A)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A3) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))))))
% 19.21/19.39  (assume a985 (forall ((A3 tptp.int) (K tptp.int) (A tptp.int) (B2 tptp.int)) (=> (= A3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A3) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))))))
% 19.21/19.39  (assume a986 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) D)))))))
% 19.21/19.39  (assume a987 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) D)))))))
% 19.21/19.39  (assume a988 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) D)))))))
% 19.21/19.39  (assume a989 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) D)))))))
% 19.21/19.39  (assume a990 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) D)))))))
% 19.21/19.39  (assume a991 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) D)))))))
% 19.21/19.39  (assume a992 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) D)))))))
% 19.21/19.39  (assume a993 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) D)))))))
% 19.21/19.39  (assume a994 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real K) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a995 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat K) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a996 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a997 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a998 (forall ((I tptp.real) (J tptp.real) (K tptp.real) (L tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real K) L))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real I) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real J) L))))))
% 19.21/19.39  (assume a999 (forall ((I tptp.rat) (J tptp.rat) (K tptp.rat) (L tptp.rat)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat K) L))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat I) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat J) L))))))
% 19.21/19.39  (assume a1000 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat) (L tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) L))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) L))))))
% 19.21/19.39  (assume a1001 (forall ((I tptp.int) (J tptp.int) (K tptp.int) (L tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) L))))))
% 19.21/19.39  (assume a1002 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))))))
% 19.21/19.39  (assume a1003 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))))))
% 19.21/19.39  (assume a1004 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))))))
% 19.21/19.39  (assume a1005 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C)))))
% 19.21/19.39  (assume a1006 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C)))))
% 19.21/19.39  (assume a1007 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C)))))
% 19.21/19.39  (assume a1008 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A)) A) B2))))
% 19.21/19.39  (assume a1009 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)) A))))))
% 19.21/19.39  (assume a1010 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) B2))))))
% 19.21/19.39  (assume a1011 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2)) A)))))
% 19.21/19.39  (assume a1012 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) B2)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A))))))
% 19.21/19.39  (assume a1013 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)) A)))))
% 19.21/19.39  (assume a1014 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A)) C)))))
% 19.21/19.39  (assume a1015 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)) B2)))))
% 19.21/19.39  (assume a1016 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A)) B2))))
% 19.21/19.39  (assume a1017 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A) C) (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) A)))))))
% 19.21/19.39  (assume a1018 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) B2))))))
% 19.21/19.39  (assume a1019 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) B2))))))
% 19.21/19.39  (assume a1020 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) B2))))))
% 19.21/19.39  (assume a1021 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C)))))
% 19.21/19.39  (assume a1022 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.minus_minus_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C)))))
% 19.21/19.39  (assume a1023 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C)))))
% 19.21/19.39  (assume a1024 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a1025 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a1026 (forall ((B2 tptp.complex) (C tptp.complex) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex B2) A)) C))))
% 19.21/19.39  (assume a1027 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) A)) C))))
% 19.21/19.39  (assume a1028 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) A)) C))))
% 19.21/19.39  (assume a1029 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.times_times_complex B2) C)))))
% 19.21/19.39  (assume a1030 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))
% 19.21/19.39  (assume a1031 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) C) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))
% 19.21/19.39  (assume a1032 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) B2))))
% 19.21/19.39  (assume a1033 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))))
% 19.21/19.39  (assume a1034 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))))
% 19.21/19.39  (assume a1035 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) C))))
% 19.21/19.39  (assume a1036 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) C))))
% 19.21/19.39  (assume a1037 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) C))))
% 19.21/19.39  (assume a1038 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real)))))))
% 19.21/19.39  (assume a1039 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat)))))))
% 19.21/19.39  (assume a1040 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))) B2)))))
% 19.21/19.39  (assume a1041 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat))) B2)))))
% 19.21/19.39  (assume a1042 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) B2)))))
% 19.21/19.39  (assume a1043 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) B2)))))
% 19.21/19.39  (assume a1044 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.39  (assume a1045 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W)))))
% 19.21/19.39  (assume a1046 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1047 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1048 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.modulo364778990260209775nteger A B2) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1049 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1050 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1051 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B2) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1052 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1053 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1054 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger B2 A) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1055 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1056 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger A B2) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1057 (forall ((R2 tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) R2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) R2))))
% 19.21/19.39  (assume a1058 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) M))))
% 19.21/19.39  (assume a1059 (forall ((B2 tptp.nat) (C tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) A)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1060 (forall ((B2 tptp.int) (C tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1061 (forall ((B2 tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C) A) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1062 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)) A)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1063 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1064 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B2) A) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1065 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1066 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1067 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C)) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1068 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2))) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1069 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1070 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B2)) B2) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1071 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N))))
% 19.21/19.39  (assume a1072 (forall ((M tptp.nat) (N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N))))
% 19.21/19.39  (assume a1073 (forall ((K tptp.nat) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)) M))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N))))
% 19.21/19.39  (assume a1074 (forall ((N tptp.nat) (K tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K)) M))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N))))
% 19.21/19.39  (assume a1075 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 19.21/19.39  (assume a1076 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 19.21/19.39  (assume a1077 (= (tptp.modulo364778990260209775nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 19.21/19.39  (assume a1078 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))
% 19.21/19.39  (assume a1079 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 19.21/19.39  (assume a1080 (= (tptp.modulo364778990260209775nteger tptp.one_one_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 19.21/19.39  (assume a1081 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a1082 (forall ((K tptp.num) (N tptp.nat)) (=> (not (= (tptp.aa_num_nat tptp.numeral_numeral_nat K) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) N))) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.one_one_nat))))
% 19.21/19.39  (assume a1083 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C))))
% 19.21/19.39  (assume a1084 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C))))
% 19.21/19.39  (assume a1085 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.modulo364778990260209775nteger B2 C)) C) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C))))
% 19.21/19.39  (assume a1086 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C))))
% 19.21/19.39  (assume a1087 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C))))
% 19.21/19.39  (assume a1088 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.modulo364778990260209775nteger A C)) B2) C) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C))))
% 19.21/19.39  (assume a1089 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)))))
% 19.21/19.39  (assume a1090 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))
% 19.21/19.39  (assume a1091 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) (tptp.modulo364778990260209775nteger A B2)) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B2)))))
% 19.21/19.39  (assume a1092 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) C))))
% 19.21/19.39  (assume a1093 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) C))))
% 19.21/19.39  (assume a1094 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.modulo364778990260209775nteger A B2)) C))))
% 19.21/19.39  (assume a1095 (forall ((A tptp.nat) (C tptp.nat) (A2 tptp.nat) (B2 tptp.nat) (B tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A2) C)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A2) B)) C))))))
% 19.21/19.39  (assume a1096 (forall ((A tptp.int) (C tptp.int) (A2 tptp.int) (B2 tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A2) C)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A2) B)) C))))))
% 19.21/19.39  (assume a1097 (forall ((A tptp.code_integer) (C tptp.code_integer) (A2 tptp.code_integer) (B2 tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger A2 C)) (=> (= (tptp.modulo364778990260209775nteger B2 C) (tptp.modulo364778990260209775nteger B C)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A2) B) C))))))
% 19.21/19.39  (assume a1098 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C))))
% 19.21/19.39  (assume a1099 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C))))
% 19.21/19.39  (assume a1100 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.modulo364778990260209775nteger A C)) (tptp.modulo364778990260209775nteger B2 C)) C) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C))))
% 19.21/19.39  (assume a1101 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C))))
% 19.21/19.39  (assume a1102 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C))))
% 19.21/19.39  (assume a1103 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A (tptp.modulo364778990260209775nteger B2 C)) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B2) C))))
% 19.21/19.39  (assume a1104 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C))))
% 19.21/19.39  (assume a1105 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C))))
% 19.21/19.39  (assume a1106 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A C) B2) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B2) C))))
% 19.21/19.39  (assume a1107 (forall ((A tptp.nat) (C tptp.nat) (A2 tptp.nat) (B2 tptp.nat) (B tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A2) C)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A2) B)) C))))))
% 19.21/19.39  (assume a1108 (forall ((A tptp.int) (C tptp.int) (A2 tptp.int) (B2 tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A2) C)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A2) B)) C))))))
% 19.21/19.39  (assume a1109 (forall ((A tptp.code_integer) (C tptp.code_integer) (A2 tptp.code_integer) (B2 tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger A2 C)) (=> (= (tptp.modulo364778990260209775nteger B2 C) (tptp.modulo364778990260209775nteger B C)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B2) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A2 B) C))))))
% 19.21/19.39  (assume a1110 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C))))
% 19.21/19.39  (assume a1111 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C))))
% 19.21/19.39  (assume a1112 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B2 C)) C) (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger A B2) C))))
% 19.21/19.39  (assume a1113 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C))))
% 19.21/19.39  (assume a1114 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger A (tptp.modulo364778990260209775nteger B2 C)) C) (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger A B2) C))))
% 19.21/19.39  (assume a1115 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C))))
% 19.21/19.39  (assume a1116 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger (tptp.modulo364778990260209775nteger A C) B2) C) (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger A B2) C))))
% 19.21/19.39  (assume a1117 (forall ((A tptp.int) (C tptp.int) (A2 tptp.int) (B2 tptp.int) (B tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A2) C)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A2) B)) C))))))
% 19.21/19.39  (assume a1118 (forall ((A tptp.code_integer) (C tptp.code_integer) (A2 tptp.code_integer) (B2 tptp.code_integer) (B tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger A2 C)) (=> (= (tptp.modulo364778990260209775nteger B2 C) (tptp.modulo364778990260209775nteger B C)) (= (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger A B2) C) (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger A2 B) C))))))
% 19.21/19.39  (assume a1119 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C))))
% 19.21/19.39  (assume a1120 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B2 C)) C) (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger A B2) C))))
% 19.21/19.39  (assume a1121 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) N)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) B2))))
% 19.21/19.39  (assume a1122 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) N)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int A) N)) B2))))
% 19.21/19.39  (assume a1123 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.power_8256067586552552935nteger (tptp.modulo364778990260209775nteger A B2) N) B2) (tptp.modulo364778990260209775nteger (tptp.power_8256067586552552935nteger A N) B2))))
% 19.21/19.39  (assume a1124 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M))) N))))
% 19.21/19.39  (assume a1125 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N))))
% 19.21/19.39  (assume a1126 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) M))))
% 19.21/19.39  (assume a1127 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2))))))
% 19.21/19.39  (assume a1128 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int Q2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q2))))))
% 19.21/19.39  (assume a1129 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger Q2)) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger Q2))))))
% 19.21/19.39  (assume a1130 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)))))
% 19.21/19.39  (assume a1131 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 19.21/19.39  (assume a1132 (forall ((M tptp.num) (N tptp.num)) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger tptp.one)) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger tptp.one)))))
% 19.21/19.39  (assume a1133 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))))
% 19.21/19.39  (assume a1134 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Y) N)) (exists ((Q1 tptp.nat) (Q22 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q1)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q22)))))))
% 19.21/19.39  (assume a1135 (forall ((Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.21/19.39  (assume a1136 (forall ((Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.21/19.39  (assume a1137 (forall ((Q2 tptp.num) (N tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger tptp.one) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.21/19.39  (assume a1138 (forall ((M tptp.num) (Q2 tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.21/19.39  (assume a1139 (forall ((M tptp.num) (Q2 tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.21/19.39  (assume a1140 (forall ((M tptp.num) (Q2 tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger tptp.one) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.21/19.39  (assume a1141 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C)) (not (forall ((D2 tptp.int)) (not (= B2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) D2)))))))))
% 19.21/19.39  (assume a1142 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B2 C)) (not (forall ((D2 tptp.code_integer)) (not (= B2 (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) D2)))))))))
% 19.21/19.39  (assume a1143 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C))) C)))))
% 19.21/19.39  (assume a1144 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C)))))
% 19.21/19.39  (assume a1145 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B2) C) (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B2 C)) (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B2 C)) C)))))
% 19.21/19.39  (assume a1146 (forall ((P tptp.fun_nat_bool) (N tptp.nat) (P2 tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) P2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) P2)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N3) P2)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc N3)) P2)))))) (tptp.pp (tptp.aa_nat_bool P M))))))))
% 19.21/19.39  (assume a1147 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_nat_nat tptp.suc N))) N))))
% 19.21/19.39  (assume a1148 (forall ((X tptp.nat) (N tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Y) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (exists ((Q3 tptp.nat)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q3))))))))
% 19.21/19.39  (assume a1149 (forall ((M tptp.nat) (Q2 tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) Q2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (not (forall ((S3 tptp.nat)) (not (= N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Q2) S3))))))))))
% 19.21/19.39  (assume a1150 (forall ((M tptp.nat) (Q2 tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) Q2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (not (forall ((S3 tptp.nat)) (not (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Q2) S3))))))))))
% 19.21/19.39  (assume a1151 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) M)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N))))))
% 19.21/19.39  (assume a1152 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))))
% 19.21/19.39  (assume a1153 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) A)))
% 19.21/19.39  (assume a1154 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) A)))
% 19.21/19.39  (assume a1155 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.divide6298287555418463151nteger A B2)) (tptp.modulo364778990260209775nteger A B2)) A)))
% 19.21/19.39  (assume a1156 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))) A)))
% 19.21/19.39  (assume a1157 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) A)))
% 19.21/19.39  (assume a1158 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A B2) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.divide6298287555418463151nteger A B2))) A)))
% 19.21/19.39  (assume a1159 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) B2)) A)))
% 19.21/19.39  (assume a1160 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) B2)) A)))
% 19.21/19.39  (assume a1161 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A B2) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) B2)) A)))
% 19.21/19.39  (assume a1162 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) A)))
% 19.21/19.39  (assume a1163 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) A)))
% 19.21/19.39  (assume a1164 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) B2) (tptp.modulo364778990260209775nteger A B2)) A)))
% 19.21/19.39  (assume a1165 (forall ((A tptp.nat) (B2 tptp.nat)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)))))
% 19.21/19.39  (assume a1166 (forall ((A tptp.int) (B2 tptp.int)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)))))
% 19.21/19.39  (assume a1167 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) B2) (tptp.modulo364778990260209775nteger A B2)))))
% 19.21/19.39  (assume a1168 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C))))
% 19.21/19.39  (assume a1169 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C))))
% 19.21/19.39  (assume a1170 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) B2) (tptp.modulo364778990260209775nteger A B2)) C) (tptp.plus_p5714425477246183910nteger A C))))
% 19.21/19.39  (assume a1171 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C))))
% 19.21/19.39  (assume a1172 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C))))
% 19.21/19.39  (assume a1173 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.divide6298287555418463151nteger A B2)) (tptp.modulo364778990260209775nteger A B2)) C) (tptp.plus_p5714425477246183910nteger A C))))
% 19.21/19.39  (assume a1174 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) C))) C)))))
% 19.21/19.39  (assume a1175 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C))) C)))))
% 19.21/19.39  (assume a1176 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B2 C)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.modulo364778990260209775nteger B2 C)) C)))))
% 19.21/19.39  (assume a1177 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1178 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1179 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.divide6298287555418463151nteger A B2))) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1180 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)))))
% 19.21/19.39  (assume a1181 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))))
% 19.21/19.39  (assume a1182 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.modulo364778990260209775nteger A B2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.divide6298287555418463151nteger A B2)))))
% 19.21/19.39  (assume a1183 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) B2))))
% 19.21/19.39  (assume a1184 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) B2))))
% 19.21/19.39  (assume a1185 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.modulo364778990260209775nteger A B2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) B2))))
% 19.21/19.39  (assume a1186 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))
% 19.21/19.39  (assume a1187 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))
% 19.21/19.39  (assume a1188 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) B2)) (tptp.modulo364778990260209775nteger A B2))))
% 19.21/19.39  (assume a1189 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))))
% 19.21/19.39  (assume a1190 (forall ((A3 tptp.nat) (N tptp.nat)) (= A3 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A3) N)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A3) N)))))
% 19.21/19.39  (assume a1191 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) N)))))
% 19.21/19.39  (assume a1192 (forall ((X4 tptp.real)) (exists ((Y3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) X4)))))
% 19.21/19.39  (assume a1193 (forall ((X4 tptp.rat)) (exists ((Y3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y3) X4)))))
% 19.21/19.39  (assume a1194 (forall ((X4 tptp.real)) (exists ((X_1 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) X_1)))))
% 19.21/19.39  (assume a1195 (forall ((X4 tptp.rat)) (exists ((X_1 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) X_1)))))
% 19.21/19.39  (assume a1196 (forall ((P tptp.fun_nat_bool) (X tptp.nat) (M6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X)) (=> (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) M6)))) (not (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P M4)) (not (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) M4))))))))))))
% 19.21/19.39  (assume a1197 (forall ((A tptp.nat) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.39  (assume a1198 (forall ((A tptp.int) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.39  (assume a1199 (forall ((A tptp.code_integer) (N tptp.nat) (M tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M)) (tptp.divide6298287555418463151nteger (tptp.modulo364778990260209775nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M))) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)))))
% 19.21/19.39  (assume a1200 (forall ((M tptp.nat) (N tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))))))
% 19.21/19.39  (assume a1201 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M))))))
% 19.21/19.39  (assume a1202 (forall ((M tptp.nat) (N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M)) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.modulo364778990260209775nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M))))))
% 19.21/19.39  (assume a1203 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.times_times_complex C) B2)))))
% 19.21/19.39  (assume a1204 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)))))
% 19.21/19.39  (assume a1205 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) C) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)))))
% 19.21/19.39  (assume a1206 (forall ((X tptp.complex) (Y tptp.complex) (Z tptp.complex) (W tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex X) W)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))
% 19.21/19.39  (assume a1207 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real) (W tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Z) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))
% 19.21/19.39  (assume a1208 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat) (W tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat Z) W)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) W)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z)))))
% 19.21/19.39  (assume a1209 (forall ((X tptp.complex) (Y tptp.complex) (Z tptp.complex) (W tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) (tptp.aa_complex_complex (tptp.times_times_complex Y) W)))))
% 19.21/19.39  (assume a1210 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real) (W tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Z) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) W)))))
% 19.21/19.39  (assume a1211 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat) (W tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat Z) W)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) W)))))
% 19.21/19.39  (assume a1212 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) C) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)))))
% 19.21/19.39  (assume a1213 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))))
% 19.21/19.39  (assume a1214 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))))
% 19.21/19.39  (assume a1215 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2)) C) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)))))
% 19.21/19.39  (assume a1216 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))))
% 19.21/19.39  (assume a1217 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) C) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))))
% 19.21/19.39  (assume a1218 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se8260200283734997820nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se8260200283734997820nteger N (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1219 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1220 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1221 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1345352211410354436nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1345352211410354436nteger N (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1222 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1223 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1224 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se2793503036327961859nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se2793503036327961859nteger N (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1225 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1226 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1227 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a1228 (= (tptp.aa_real_real tptp.neg_numeral_dbl_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a1229 (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a1230 (= (tptp.aa_int_int tptp.neg_numeral_dbl_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.21/19.39  (assume a1231 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B2) (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) tptp.one_one_Code_integer) (tptp.divide6298287555418463151nteger A B2)))))))
% 19.21/19.39  (assume a1232 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)))))))
% 19.21/19.39  (assume a1233 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))))))
% 19.21/19.39  (assume a1234 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_ri6519982836138164636nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri6519982836138164636nteger N (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1235 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.21/19.39  (assume a1236 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.pow K) L)))))
% 19.21/19.39  (assume a1237 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.pow K) L)))))
% 19.21/19.39  (assume a1238 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.pow K) L)))))
% 19.21/19.39  (assume a1239 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num (tptp.pow K) L)))))
% 19.21/19.39  (assume a1240 (forall ((K tptp.num) (L tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.pow K) L)))))
% 19.21/19.39  (assume a1241 (forall ((U tptp.real) (X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real U) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.21/19.39  (assume a1242 (forall ((U tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat U) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.21/19.39  (assume a1243 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))
% 19.21/19.39  (assume a1244 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1245 (forall ((N tptp.nat)) (= (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.21/19.39  (assume a1246 (forall ((A tptp.nat)) (= (not (= A tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)))))
% 19.21/19.39  (assume a1247 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 19.21/19.39  (assume a1248 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A))))
% 19.21/19.39  (assume a1249 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) tptp.zero_zero_nat) M)))
% 19.21/19.39  (assume a1250 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N) tptp.zero_zero_nat) (and (= M tptp.zero_zero_nat) (= N tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1251 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) M) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1252 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1253 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K)) (or (= M N) (= K tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1254 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)) (or (= M N) (= K tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1255 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1256 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N) tptp.zero_zero_nat) (or (= M tptp.zero_zero_nat) (= N tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1257 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1258 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) K)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1259 (forall ((N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N)) (not (= N tptp.zero_z5237406670263579293d_enat)))))
% 19.21/19.39  (assume a1260 (forall ((N tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat tptp.zero_z5237406670263579293d_enat N) tptp.zero_z5237406670263579293d_enat)))
% 19.21/19.39  (assume a1261 (forall ((N tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat N tptp.zero_z5237406670263579293d_enat) N)))
% 19.21/19.39  (assume a1262 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) tptp.zero_zero_nat)) (= N tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1263 (forall ((N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))) (= N tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1264 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)) (or (= C tptp.zero_zero_real) (= A B2)))))
% 19.21/19.39  (assume a1265 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)) (or (= C tptp.zero_zero_rat) (= A B2)))))
% 19.21/19.39  (assume a1266 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (or (= C tptp.zero_zero_nat) (= A B2)))))
% 19.21/19.39  (assume a1267 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (or (= C tptp.zero_zero_int) (= A B2)))))
% 19.21/19.39  (assume a1268 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)) (or (= C tptp.zero_zero_real) (= A B2)))))
% 19.21/19.39  (assume a1269 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)) (or (= C tptp.zero_zero_rat) (= A B2)))))
% 19.21/19.39  (assume a1270 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)) (or (= C tptp.zero_zero_nat) (= A B2)))))
% 19.21/19.39  (assume a1271 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (or (= C tptp.zero_zero_int) (= A B2)))))
% 19.21/19.39  (assume a1272 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B2 tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1273 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2) tptp.zero_zero_rat) (or (= A tptp.zero_zero_rat) (= B2 tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1274 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2) tptp.zero_zero_nat) (or (= A tptp.zero_zero_nat) (= B2 tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1275 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) tptp.zero_zero_int) (or (= A tptp.zero_zero_int) (= B2 tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1276 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.zero_zero_real) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1277 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1278 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1279 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1280 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.zero_zero_real) A) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1281 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat tptp.zero_zero_rat) A) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1282 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1283 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1284 (forall ((A tptp.literal)) (= (tptp.plus_plus_literal tptp.zero_zero_literal A) A)))
% 19.21/19.39  (assume a1285 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 19.21/19.39  (assume a1286 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 19.21/19.39  (assume a1287 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 19.21/19.39  (assume a1288 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 19.21/19.39  (assume a1289 (forall ((X tptp.nat) (Y tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y)) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1290 (forall ((X tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1291 (forall ((A tptp.real) (B2 tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (= B2 tptp.zero_zero_real))))
% 19.21/19.39  (assume a1292 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (= B2 tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1293 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) (= B2 tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1294 (forall ((A tptp.int) (B2 tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (= B2 tptp.zero_zero_int))))
% 19.21/19.39  (assume a1295 (forall ((A tptp.real) (B2 tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A)) (= B2 tptp.zero_zero_real))))
% 19.21/19.39  (assume a1296 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A)) (= B2 tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1297 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A)) (= B2 tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1298 (forall ((A tptp.int) (B2 tptp.int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A)) (= B2 tptp.zero_zero_int))))
% 19.21/19.39  (assume a1299 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) A) (= B2 tptp.zero_zero_real))))
% 19.21/19.39  (assume a1300 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) A) (= B2 tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1301 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2) A) (= B2 tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1302 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) A) (= B2 tptp.zero_zero_int))))
% 19.21/19.39  (assume a1303 (forall ((B2 tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A) A) (= B2 tptp.zero_zero_real))))
% 19.21/19.39  (assume a1304 (forall ((B2 tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A) A) (= B2 tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1305 (forall ((B2 tptp.nat) (A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A) A) (= B2 tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1306 (forall ((B2 tptp.int) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A) A) (= B2 tptp.zero_zero_int))))
% 19.21/19.39  (assume a1307 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A)) (= A tptp.zero_zero_real))))
% 19.21/19.39  (assume a1308 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A)) (= A tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1309 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A)) (= A tptp.zero_zero_int))))
% 19.21/19.39  (assume a1310 (forall ((A tptp.literal)) (= (tptp.plus_plus_literal A tptp.zero_zero_literal) A)))
% 19.21/19.39  (assume a1311 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 19.21/19.39  (assume a1312 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 19.21/19.39  (assume a1313 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 19.21/19.39  (assume a1314 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 19.21/19.39  (assume a1315 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) A) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1316 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) A) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1317 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1318 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1319 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.zero_zero_real) A)))
% 19.21/19.39  (assume a1320 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.zero_zero_rat) A)))
% 19.21/19.39  (assume a1321 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) tptp.zero_zero_nat) A)))
% 19.21/19.39  (assume a1322 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.zero_zero_int) A)))
% 19.21/19.39  (assume a1323 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1324 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.zero_zero_real) A)))
% 19.21/19.39  (assume a1325 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.zero_zero_rat) A)))
% 19.21/19.39  (assume a1326 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.zero_zero_int) A)))
% 19.21/19.39  (assume a1327 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) A) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1328 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) A) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1329 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1330 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.zero_zero_complex) A) tptp.zero_zero_complex)))
% 19.21/19.39  (assume a1331 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.zero_zero_real) A) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1332 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.zero_zero_rat) A) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1333 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1334 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1335 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 19.21/19.39  (assume a1336 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) tptp.zero_zero_real) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1337 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1338 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1339 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1340 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1341 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1342 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1343 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1344 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) tptp.zero_zero_complex) (or (= A tptp.zero_zero_complex) (= B2 tptp.zero_zero_complex)))))
% 19.21/19.39  (assume a1345 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B2 tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1346 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) tptp.zero_zero_rat) (or (= A tptp.zero_zero_rat) (= B2 tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1347 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex C) A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex C) B2)) (or (= C tptp.zero_zero_complex) (= A B2)))))
% 19.21/19.39  (assume a1348 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) B2)) (or (= C tptp.zero_zero_real) (= A B2)))))
% 19.21/19.39  (assume a1349 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat C) A) (tptp.aa_rat_rat (tptp.divide_divide_rat C) B2)) (or (= C tptp.zero_zero_rat) (= A B2)))))
% 19.21/19.39  (assume a1350 (forall ((A tptp.complex) (C tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (or (= C tptp.zero_zero_complex) (= A B2)))))
% 19.21/19.39  (assume a1351 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (or (= C tptp.zero_zero_real) (= A B2)))))
% 19.21/19.39  (assume a1352 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) C) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (or (= C tptp.zero_zero_rat) (= A B2)))))
% 19.21/19.39  (assume a1353 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) tptp.zero_zero_complex) tptp.zero_zero_complex)))
% 19.21/19.39  (assume a1354 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) tptp.zero_zero_real) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1355 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1356 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.zero_z3403309356797280102nteger))))
% 19.21/19.39  (assume a1357 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) tptp.zero_zero_real))))
% 19.21/19.39  (assume a1358 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1359 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1360 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.zero_zero_int))))
% 19.21/19.39  (assume a1361 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer tptp.zero_z3403309356797280102nteger) A)) (= A tptp.zero_z3403309356797280102nteger))))
% 19.21/19.39  (assume a1362 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real tptp.zero_zero_real) A)) (= A tptp.zero_zero_real))))
% 19.21/19.39  (assume a1363 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat tptp.zero_zero_rat) A)) (= A tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1364 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A)) (= A tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1365 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int tptp.zero_zero_int) A)) (= A tptp.zero_zero_int))))
% 19.21/19.39  (assume a1366 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B2 A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)))))
% 19.21/19.39  (assume a1367 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)))))
% 19.21/19.39  (assume a1368 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)))))
% 19.21/19.39  (assume a1369 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)))))
% 19.21/19.39  (assume a1370 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)))))
% 19.21/19.39  (assume a1371 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger A B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)))))
% 19.21/19.39  (assume a1372 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)))))
% 19.21/19.39  (assume a1373 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)))))
% 19.21/19.39  (assume a1374 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)))))
% 19.21/19.39  (assume a1375 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)))))
% 19.21/19.39  (assume a1376 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 19.21/19.39  (assume a1377 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 19.21/19.39  (assume a1378 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 19.21/19.39  (assume a1379 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A)))
% 19.21/19.39  (assume a1380 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1381 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1382 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger tptp.zero_z3403309356797280102nteger A) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1383 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) tptp.zero_zero_nat) A)))
% 19.21/19.39  (assume a1384 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) tptp.zero_zero_int) A)))
% 19.21/19.39  (assume a1385 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A tptp.zero_z3403309356797280102nteger) A)))
% 19.21/19.39  (assume a1386 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1387 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1388 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A A) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1389 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1390 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1391 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger tptp.zero_z3403309356797280102nteger A) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1392 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger B2 A)) (tptp.divide6298287555418463151nteger C A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) C)))))))
% 19.21/19.39  (assume a1393 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) C)))))))
% 19.21/19.39  (assume a1394 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int C) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) C)))))))
% 19.21/19.39  (assume a1395 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)))))
% 19.21/19.39  (assume a1396 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (= N tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1397 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.39  (assume a1398 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (and (= M (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 19.21/19.39  (assume a1399 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (and (= M (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 19.21/19.39  (assume a1400 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M)))
% 19.21/19.39  (assume a1401 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.21/19.39  (assume a1402 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a1403 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.39  (assume a1404 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.21/19.39  (assume a1405 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1406 (forall ((X tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)))) (= X tptp.zero_zero_real))))
% 19.21/19.39  (assume a1407 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.21/19.39  (assume a1408 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1409 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (= M (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1410 (forall ((K tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) K))))
% 19.21/19.39  (assume a1411 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.one_one_nat)) (= N tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1412 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1413 (forall ((X tptp.nat) (M tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (or (= M tptp.zero_zero_nat) (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 19.21/19.39  (assume a1414 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1415 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (and (=> (= K tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)) tptp.zero_zero_nat)) (=> (not (= K tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))))))
% 19.21/19.39  (assume a1416 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1417 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N))) (or (= K tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N))))))
% 19.21/19.39  (assume a1418 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) tptp.one_one_nat)) (= M tptp.one_one_nat))))
% 19.21/19.39  (assume a1419 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1420 (= (tptp.aa_real_real tptp.neg_numeral_dbl_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.21/19.39  (assume a1421 (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.21/19.39  (assume a1422 (= (tptp.aa_int_int tptp.neg_numeral_dbl_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.21/19.39  (assume a1423 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1424 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1425 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A)) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1426 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1427 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1428 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1429 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1430 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1431 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)))))
% 19.21/19.39  (assume a1432 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)))))
% 19.21/19.39  (assume a1433 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)))))
% 19.21/19.39  (assume a1434 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)))))
% 19.21/19.39  (assume a1435 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)))))
% 19.21/19.39  (assume a1436 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)))))
% 19.21/19.39  (assume a1437 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)))))
% 19.21/19.39  (assume a1438 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)))))
% 19.21/19.39  (assume a1439 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1440 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1441 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1442 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 19.21/19.39  (assume a1443 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 19.21/19.39  (assume a1444 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 19.21/19.39  (assume a1445 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))
% 19.21/19.39  (assume a1446 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))
% 19.21/19.39  (assume a1447 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)))))
% 19.21/19.39  (assume a1448 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1449 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1450 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A)) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1451 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1452 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1453 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1454 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 19.21/19.39  (assume a1455 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1456 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)))))
% 19.21/19.39  (assume a1457 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)))))
% 19.21/19.39  (assume a1458 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)))))
% 19.21/19.39  (assume a1459 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)))))
% 19.21/19.39  (assume a1460 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)))))
% 19.21/19.39  (assume a1461 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)))))
% 19.21/19.39  (assume a1462 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)))))
% 19.21/19.39  (assume a1463 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)))))
% 19.21/19.39  (assume a1464 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1465 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1466 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1467 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.21/19.39  (assume a1468 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.21/19.39  (assume a1469 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 19.21/19.39  (assume a1470 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))
% 19.21/19.39  (assume a1471 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))
% 19.21/19.39  (assume a1472 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)))))
% 19.21/19.39  (assume a1473 (forall ((C tptp.complex) (B2 tptp.complex)) (= (= C (tptp.aa_complex_complex (tptp.times_times_complex C) B2)) (or (= C tptp.zero_zero_complex) (= B2 tptp.one_one_complex)))))
% 19.21/19.39  (assume a1474 (forall ((C tptp.real) (B2 tptp.real)) (= (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)) (or (= C tptp.zero_zero_real) (= B2 tptp.one_one_real)))))
% 19.21/19.39  (assume a1475 (forall ((C tptp.rat) (B2 tptp.rat)) (= (= C (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)) (or (= C tptp.zero_zero_rat) (= B2 tptp.one_one_rat)))))
% 19.21/19.39  (assume a1476 (forall ((C tptp.int) (B2 tptp.int)) (= (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (or (= C tptp.zero_zero_int) (= B2 tptp.one_one_int)))))
% 19.21/19.39  (assume a1477 (forall ((C tptp.complex) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex C) A) C) (or (= C tptp.zero_zero_complex) (= A tptp.one_one_complex)))))
% 19.21/19.39  (assume a1478 (forall ((C tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A) C) (or (= C tptp.zero_zero_real) (= A tptp.one_one_real)))))
% 19.21/19.39  (assume a1479 (forall ((C tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A) C) (or (= C tptp.zero_zero_rat) (= A tptp.one_one_rat)))))
% 19.21/19.39  (assume a1480 (forall ((C tptp.int) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A) C) (or (= C tptp.zero_zero_int) (= A tptp.one_one_int)))))
% 19.21/19.39  (assume a1481 (forall ((C tptp.complex) (B2 tptp.complex)) (= (= C (tptp.aa_complex_complex (tptp.times_times_complex B2) C)) (or (= C tptp.zero_zero_complex) (= B2 tptp.one_one_complex)))))
% 19.21/19.39  (assume a1482 (forall ((C tptp.real) (B2 tptp.real)) (= (= C (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)) (or (= C tptp.zero_zero_real) (= B2 tptp.one_one_real)))))
% 19.21/19.39  (assume a1483 (forall ((C tptp.rat) (B2 tptp.rat)) (= (= C (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)) (or (= C tptp.zero_zero_rat) (= B2 tptp.one_one_rat)))))
% 19.21/19.39  (assume a1484 (forall ((C tptp.int) (B2 tptp.int)) (= (= C (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (or (= C tptp.zero_zero_int) (= B2 tptp.one_one_int)))))
% 19.21/19.39  (assume a1485 (forall ((A tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) C) (or (= C tptp.zero_zero_complex) (= A tptp.one_one_complex)))))
% 19.21/19.39  (assume a1486 (forall ((A tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) C) (or (= C tptp.zero_zero_real) (= A tptp.one_one_real)))))
% 19.21/19.39  (assume a1487 (forall ((A tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C) C) (or (= C tptp.zero_zero_rat) (= A tptp.one_one_rat)))))
% 19.21/19.39  (assume a1488 (forall ((A tptp.int) (C tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C) C) (or (= C tptp.zero_zero_int) (= A tptp.one_one_int)))))
% 19.21/19.39  (assume a1489 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1490 (forall ((X tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y)) tptp.zero_zero_rat) (and (= X tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1491 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 19.21/19.39  (assume a1492 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (and (=> (= C tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)) tptp.zero_zero_nat)) (=> (not (= C tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))))))
% 19.21/19.39  (assume a1493 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (and (=> (= C tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) tptp.zero_zero_int)) (=> (not (= C tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.21/19.39  (assume a1494 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)))))
% 19.21/19.39  (assume a1495 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))))
% 19.21/19.39  (assume a1496 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)))))
% 19.21/19.39  (assume a1497 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))))
% 19.21/19.39  (assume a1498 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) A) B2))))
% 19.21/19.39  (assume a1499 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) A) B2))))
% 19.21/19.39  (assume a1500 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) A) B2))))
% 19.21/19.39  (assume a1501 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) A) B2))))
% 19.21/19.39  (assume a1502 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) A) B2))))
% 19.21/19.39  (assume a1503 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) B2) A))))
% 19.21/19.39  (assume a1504 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) B2) A))))
% 19.21/19.39  (assume a1505 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) B2) A))))
% 19.21/19.39  (assume a1506 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) B2) A))))
% 19.21/19.39  (assume a1507 (forall ((B2 tptp.int) (A tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) B2) A))))
% 19.21/19.39  (assume a1508 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (and (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex C) A)) (tptp.aa_complex_complex (tptp.times_times_complex C) B2)) tptp.zero_zero_complex)) (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex C) A)) (tptp.aa_complex_complex (tptp.times_times_complex C) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))))))
% 19.21/19.39  (assume a1509 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (and (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)) tptp.zero_zero_real)) (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2))))))
% 19.21/19.39  (assume a1510 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (and (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)) tptp.zero_zero_rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2))))))
% 19.21/19.39  (assume a1511 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex C) A)) (tptp.aa_complex_complex (tptp.times_times_complex C) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))))
% 19.21/19.39  (assume a1512 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)))))
% 19.21/19.39  (assume a1513 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)))))
% 19.21/19.39  (assume a1514 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex C) A)) (tptp.aa_complex_complex (tptp.times_times_complex B2) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))))
% 19.21/19.39  (assume a1515 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)))))
% 19.21/19.39  (assume a1516 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)))))
% 19.21/19.39  (assume a1517 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex B2) C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))))
% 19.21/19.39  (assume a1518 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)))))
% 19.21/19.39  (assume a1519 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)))))
% 19.21/19.39  (assume a1520 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (tptp.aa_complex_complex (tptp.times_times_complex C) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))))
% 19.21/19.39  (assume a1521 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)))))
% 19.21/19.39  (assume a1522 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)))))
% 19.21/19.39  (assume a1523 (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) tptp.one_one_complex) tptp.zero_zero_complex))
% 19.21/19.39  (assume a1524 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) tptp.one_one_real) tptp.zero_zero_real))
% 19.21/19.39  (assume a1525 (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) tptp.one_one_rat) tptp.zero_zero_rat))
% 19.21/19.39  (assume a1526 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) tptp.one_one_int) tptp.zero_zero_int))
% 19.21/19.39  (assume a1527 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1528 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 19.21/19.39  (assume a1529 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) A) tptp.one_one_real))))
% 19.21/19.39  (assume a1530 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) A) tptp.one_one_rat))))
% 19.21/19.39  (assume a1531 (forall ((A tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) A) tptp.one_one_nat))))
% 19.21/19.39  (assume a1532 (forall ((A tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) A) tptp.one_one_int))))
% 19.21/19.39  (assume a1533 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) tptp.one_one_complex) (and (not (= B2 tptp.zero_zero_complex)) (= A B2)))))
% 19.21/19.39  (assume a1534 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) tptp.one_one_real) (and (not (= B2 tptp.zero_zero_real)) (= A B2)))))
% 19.21/19.39  (assume a1535 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) tptp.one_one_rat) (and (not (= B2 tptp.zero_zero_rat)) (= A B2)))))
% 19.21/19.39  (assume a1536 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= tptp.one_one_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (and (not (= B2 tptp.zero_zero_complex)) (= A B2)))))
% 19.21/19.39  (assume a1537 (forall ((A tptp.real) (B2 tptp.real)) (= (= tptp.one_one_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (and (not (= B2 tptp.zero_zero_real)) (= A B2)))))
% 19.21/19.39  (assume a1538 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= tptp.one_one_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (and (not (= B2 tptp.zero_zero_rat)) (= A B2)))))
% 19.21/19.39  (assume a1539 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex))))
% 19.21/19.39  (assume a1540 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) A) tptp.one_one_real))))
% 19.21/19.39  (assume a1541 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) A) tptp.one_one_rat))))
% 19.21/19.39  (assume a1542 (forall ((A tptp.complex)) (and (=> (= A tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.zero_zero_complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) A) tptp.one_one_complex)))))
% 19.21/19.39  (assume a1543 (forall ((A tptp.real)) (and (=> (= A tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) A) tptp.zero_zero_real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) A) tptp.one_one_real)))))
% 19.21/19.39  (assume a1544 (forall ((A tptp.rat)) (and (=> (= A tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) A) tptp.zero_zero_rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) A) tptp.one_one_rat)))))
% 19.21/19.39  (assume a1545 (forall ((B2 tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A) tptp.one_one_real) (and (not (= A tptp.zero_zero_real)) (= A B2)))))
% 19.21/19.39  (assume a1546 (forall ((B2 tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A) tptp.one_one_rat) (and (not (= A tptp.zero_zero_rat)) (= A B2)))))
% 19.21/19.39  (assume a1547 (forall ((B2 tptp.real) (A tptp.real)) (= (= tptp.one_one_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A)) (and (not (= A tptp.zero_zero_real)) (= A B2)))))
% 19.21/19.39  (assume a1548 (forall ((B2 tptp.rat) (A tptp.rat)) (= (= tptp.one_one_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A)) (and (not (= A tptp.zero_zero_rat)) (= A B2)))))
% 19.21/19.39  (assume a1549 (forall ((A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.21/19.39  (assume a1550 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1551 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)) (= A tptp.zero_zero_real))))
% 19.21/19.39  (assume a1552 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A)) (= A tptp.zero_zero_rat))))
% 19.21/19.39  (assume a1553 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) A)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) C))))))
% 19.21/19.39  (assume a1554 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) C))))))
% 19.21/19.39  (assume a1555 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) C))))))
% 19.21/19.39  (assume a1556 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) C))))))
% 19.21/19.39  (assume a1557 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) C))))))
% 19.21/19.39  (assume a1558 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) C))))))
% 19.21/19.39  (assume a1559 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C))) (or (= C tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2))))))
% 19.21/19.39  (assume a1560 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (or (= C tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2))))))
% 19.21/19.39  (assume a1561 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (or (= C tptp.zero_zero_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2))))))
% 19.21/19.39  (assume a1562 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (or (= C tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2))))))
% 19.21/19.39  (assume a1563 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B2))) (or (= C tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2))))))
% 19.21/19.39  (assume a1564 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (or (= C tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2))))))
% 19.21/19.39  (assume a1565 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (or (= C tptp.zero_zero_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2))))))
% 19.21/19.39  (assume a1566 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (or (= C tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2))))))
% 19.21/19.39  (assume a1567 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1568 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1569 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1570 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1571 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_complex)))
% 19.21/19.39  (assume a1572 (forall ((K tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_zero_rat)))
% 19.21/19.39  (assume a1573 (forall ((K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1574 (forall ((K tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_zero_real)))
% 19.21/19.39  (assume a1575 (forall ((K tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1576 (forall ((K tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.zero_zero_complex)))
% 19.21/19.39  (assume a1577 (forall ((A tptp.rat) (N tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) tptp.zero_zero_rat) (and (= A tptp.zero_zero_rat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.39  (assume a1578 (forall ((A tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.39  (assume a1579 (forall ((A tptp.real) (N tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) tptp.zero_zero_real) (and (= A tptp.zero_zero_real) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.39  (assume a1580 (forall ((A tptp.int) (N tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) N) tptp.zero_zero_int) (and (= A tptp.zero_zero_int) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.39  (assume a1581 (forall ((A tptp.complex) (N tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex A) N) tptp.zero_zero_complex) (and (= A tptp.zero_zero_complex) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.39  (assume a1582 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) tptp.one_one_Code_integer))))))
% 19.21/19.39  (assume a1583 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.one_one_nat))))))
% 19.21/19.39  (assume a1584 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.one_one_int))))))
% 19.21/19.39  (assume a1585 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A) B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)))))
% 19.21/19.39  (assume a1586 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)))))
% 19.21/19.39  (assume a1587 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)))))
% 19.21/19.39  (assume a1588 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)))))
% 19.21/19.39  (assume a1589 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)))))
% 19.21/19.39  (assume a1590 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B2 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A)))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)))))
% 19.21/19.39  (assume a1591 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)))))
% 19.21/19.39  (assume a1592 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)))))
% 19.21/19.39  (assume a1593 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)))))
% 19.21/19.39  (assume a1594 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)))))
% 19.21/19.39  (assume a1595 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)) B2) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1596 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)) B2) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1597 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) A) B2) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1598 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) B2) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1599 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) B2) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1600 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) B2) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1601 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger B2 A)) A) B2))))
% 19.21/19.39  (assume a1602 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A)) A) B2))))
% 19.21/19.39  (assume a1603 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A)) A) B2))))
% 19.21/19.39  (assume a1604 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B2 A)) B2))))
% 19.21/19.39  (assume a1605 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A)) B2))))
% 19.21/19.39  (assume a1606 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A)) B2))))
% 19.21/19.39  (assume a1607 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) tptp.one_one_nat) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1608 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1609 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1610 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) tptp.one_one_nat) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1611 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) tptp.one_one_int) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1612 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1613 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger A B2)) tptp.one_one_Code_integer))))))
% 19.21/19.39  (assume a1614 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) tptp.one_one_nat))))))
% 19.21/19.39  (assume a1615 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.one_one_int))))))
% 19.21/19.39  (assume a1616 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A)) tptp.one_one_Code_integer)))))
% 19.21/19.39  (assume a1617 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) A)) tptp.one_one_nat)))))
% 19.21/19.39  (assume a1618 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) A)) tptp.one_one_int)))))
% 19.21/19.39  (assume a1619 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A)) A))))
% 19.21/19.39  (assume a1620 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) A)) A))))
% 19.21/19.39  (assume a1621 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) A)) A))))
% 19.21/19.39  (assume a1622 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B2) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B2 C)))))))
% 19.21/19.39  (assume a1623 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C)))))))
% 19.21/19.39  (assume a1624 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)))))))
% 19.21/19.39  (assume a1625 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.divide6298287555418463151nteger (tptp.minus_8373710615458151222nteger A B2) C) (tptp.minus_8373710615458151222nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B2 C)))))))
% 19.21/19.39  (assume a1626 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)))))))
% 19.21/19.39  (assume a1627 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) B2) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1628 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) B2) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1629 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.modulo364778990260209775nteger A B2) B2) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1630 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) B2) tptp.zero_zero_nat)))
% 19.21/19.39  (assume a1631 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) B2) tptp.zero_zero_int)))
% 19.21/19.39  (assume a1632 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.modulo364778990260209775nteger A B2) B2) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.39  (assume a1633 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W))))))
% 19.21/19.39  (assume a1634 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) A) tptp.zero_zero_nat))))
% 19.21/19.39  (assume a1635 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) A) tptp.zero_zero_int))))
% 19.21/19.39  (assume a1636 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (= (tptp.modulo364778990260209775nteger B2 A) tptp.zero_z3403309356797280102nteger))))
% 19.21/19.39  (assume a1637 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) N))))
% 19.21/19.39  (assume a1638 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))))))
% 19.21/19.39  (assume a1639 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.21/19.39  (assume a1640 (forall ((M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) K))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.21/19.39  (assume a1641 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) M)) N) M))))
% 19.21/19.39  (assume a1642 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) N) M))))
% 19.21/19.39  (assume a1643 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_int) tptp.one_one_int)))
% 19.21/19.39  (assume a1644 (forall ((K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.one_one_int) tptp.one_one_int)))
% 19.21/19.39  (assume a1645 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.numera6690914467698888265omplex K)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 K)))))
% 19.21/19.39  (assume a1646 (forall ((K tptp.num)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_num_real tptp.numeral_numeral_real K)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 K)))))
% 19.21/19.39  (assume a1647 (forall ((K tptp.num)) (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 K)))))
% 19.21/19.39  (assume a1648 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))))
% 19.21/19.39  (assume a1649 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 19.21/19.39  (assume a1650 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 19.21/19.39  (assume a1651 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1652 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1653 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.21/19.39  (assume a1654 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.21/19.39  (assume a1655 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.21/19.39  (assume a1656 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.21/19.39  (assume a1657 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))))))
% 19.21/19.39  (assume a1658 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))))))
% 19.21/19.39  (assume a1659 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))))))
% 19.21/19.39  (assume a1660 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))))))
% 19.21/19.39  (assume a1661 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.21/19.39  (assume a1662 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.21/19.39  (assume a1663 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.21/19.39  (assume a1664 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.21/19.39  (assume a1665 (forall ((B2 tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) (tptp.numera6690914467698888265omplex W)) A) (and (=> (not (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= B2 (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W)))) (=> (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.21/19.39  (assume a1666 (forall ((B2 tptp.real) (W tptp.num) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_num_real tptp.numeral_numeral_real W)) A) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real)) (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)))) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.21/19.39  (assume a1667 (forall ((B2 tptp.rat) (W tptp.num) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat W)) A) (and (=> (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat)) (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (=> (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.21/19.39  (assume a1668 (forall ((A tptp.complex) (B2 tptp.complex) (W tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) (tptp.numera6690914467698888265omplex W))) (and (=> (not (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W)) B2)) (=> (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.21/19.39  (assume a1669 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (not (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W)) B2)) (=> (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.21/19.39  (assume a1670 (forall ((A tptp.rat) (B2 tptp.rat) (W tptp.num)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat W)) B2)) (=> (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.21/19.39  (assume a1671 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) B2)))))
% 19.21/19.39  (assume a1672 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) B2)))))
% 19.21/19.39  (assume a1673 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) B2)))))
% 19.21/19.39  (assume a1674 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A)))))
% 19.21/19.39  (assume a1675 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)))))
% 19.21/19.39  (assume a1676 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A)))))
% 19.21/19.39  (assume a1677 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2))) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))))))
% 19.21/19.39  (assume a1678 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.21/19.39  (assume a1679 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))))))
% 19.21/19.39  (assume a1680 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.21/19.39  (assume a1681 (forall ((B2 tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)) A)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))))))
% 19.21/19.39  (assume a1682 (forall ((B2 tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.21/19.39  (assume a1683 (forall ((B2 tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) A)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))))))
% 19.21/19.39  (assume a1684 (forall ((B2 tptp.int) (C tptp.int) (A tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.21/19.39  (assume a1685 (forall ((A tptp.real) (B2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))))
% 19.21/19.39  (assume a1686 (forall ((A tptp.rat) (B2 tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))))
% 19.21/19.39  (assume a1687 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))))))))
% 19.21/19.39  (assume a1688 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))))
% 19.21/19.39  (assume a1689 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A)) (tptp.divide6298287555418463151nteger B2 A)))))
% 19.21/19.39  (assume a1690 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A)))))
% 19.21/19.39  (assume a1691 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A)))))
% 19.21/19.39  (assume a1692 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger B2 A)) A) B2))))
% 19.21/19.39  (assume a1693 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A)) A) B2))))
% 19.21/19.39  (assume a1694 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A)) A) B2))))
% 19.21/19.39  (assume a1695 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.21/19.39  (assume a1696 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) N))))
% 19.21/19.40  (assume a1697 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a1698 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.21/19.40  (assume a1699 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.21/19.40  (assume a1700 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.21/19.40  (assume a1701 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A))))))
% 19.21/19.40  (assume a1702 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))))))
% 19.21/19.40  (assume a1703 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A))))))
% 19.21/19.40  (assume a1704 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))))))
% 19.21/19.40  (assume a1705 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.21/19.40  (assume a1706 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A)) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.21/19.40  (assume a1707 (forall ((B2 tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 19.21/19.40  (assume a1708 (forall ((B2 tptp.rat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.one_one_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat B2) M)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 19.21/19.40  (assume a1709 (forall ((B2 tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 19.21/19.40  (assume a1710 (forall ((B2 tptp.int) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B2) M)) (tptp.aa_nat_int (tptp.power_power_int B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)))))))
% 19.21/19.40  (assume a1711 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.21/19.40  (assume a1712 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.21/19.40  (assume a1713 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.21/19.40  (assume a1714 (forall ((A tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.21/19.40  (assume a1715 (forall ((A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat) (= A tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1716 (forall ((A tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.21/19.40  (assume a1717 (forall ((A tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.21/19.40  (assume a1718 (forall ((A tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 19.21/19.40  (assume a1719 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B2)))) (not (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))))
% 19.21/19.40  (assume a1720 (forall ((A tptp.nat) (B2 tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)))) (not (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))))
% 19.21/19.40  (assume a1721 (forall ((A tptp.int) (B2 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)))) (not (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))))
% 19.21/19.40  (assume a1722 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B2))) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.21/19.40  (assume a1723 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.21/19.40  (assume a1724 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.21/19.40  (assume a1725 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 19.21/19.40  (assume a1726 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 19.21/19.40  (assume a1727 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 19.21/19.40  (assume a1728 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.21/19.40  (assume a1729 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.40  (assume a1730 (forall ((N tptp.nat)) (= (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1731 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) M)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 19.21/19.40  (assume a1732 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 19.21/19.40  (assume a1733 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 19.21/19.40  (assume a1734 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 19.21/19.40  (assume a1735 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 19.21/19.40  (assume a1736 (forall ((B2 tptp.real) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 19.21/19.40  (assume a1737 (forall ((B2 tptp.rat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.one_one_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat B2) M)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 19.21/19.40  (assume a1738 (forall ((B2 tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 19.21/19.40  (assume a1739 (forall ((B2 tptp.int) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B2) M)) (tptp.aa_nat_int (tptp.power_power_int B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))))))
% 19.21/19.40  (assume a1740 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)) (= A tptp.zero_zero_real))))
% 19.21/19.40  (assume a1741 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_rat)) (= A tptp.zero_zero_rat))))
% 19.21/19.40  (assume a1742 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)) (= A tptp.zero_zero_int))))
% 19.21/19.40  (assume a1743 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X Y))))))
% 19.21/19.40  (assume a1744 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X Y))))))
% 19.21/19.40  (assume a1745 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X Y))))))
% 19.21/19.40  (assume a1746 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (= X Y))))))
% 19.21/19.40  (assume a1747 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (= A tptp.zero_zero_real)))))
% 19.21/19.40  (assume a1748 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (= A tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a1749 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (= A tptp.zero_zero_int)))))
% 19.21/19.40  (assume a1750 (forall ((X tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_rat) (and (= X tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a1751 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 19.21/19.40  (assume a1752 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 19.21/19.40  (assume a1753 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A tptp.one_one_Code_integer))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.21/19.40  (assume a1754 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.21/19.40  (assume a1755 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.21/19.40  (assume a1756 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.minus_8373710615458151222nteger A B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B2))))))
% 19.21/19.40  (assume a1757 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))))))
% 19.21/19.40  (assume a1758 (forall ((A tptp.nat)) (= (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 19.21/19.40  (assume a1759 (forall ((A tptp.int)) (= (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 19.21/19.40  (assume a1760 (forall ((A tptp.code_integer)) (= (not (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)) (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 19.21/19.40  (assume a1761 (forall ((A tptp.nat)) (= (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1762 (forall ((A tptp.int)) (= (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 19.21/19.40  (assume a1763 (forall ((A tptp.code_integer)) (= (not (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)) (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))))
% 19.21/19.40  (assume a1764 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.power_8256067586552552935nteger A N))) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.40  (assume a1765 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.40  (assume a1766 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) N))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.21/19.40  (assume a1767 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) N))))
% 19.21/19.40  (assume a1768 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.21/19.40  (assume a1769 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1770 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 19.21/19.40  (assume a1771 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int tptp.zero_zero_nat) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1772 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat tptp.zero_zero_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1773 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))
% 19.21/19.40  (assume a1774 (forall ((A tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))))
% 19.21/19.40  (assume a1775 (forall ((A tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)))))
% 19.21/19.40  (assume a1776 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1777 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1778 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1779 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1780 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1781 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.21/19.40  (assume a1782 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.minus_8373710615458151222nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N) tptp.one_one_Code_integer))) (= N tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1783 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))) (= N tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1784 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))) (= N tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1785 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))
% 19.21/19.40  (assume a1786 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))
% 19.21/19.40  (assume a1787 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))))
% 19.21/19.40  (assume a1788 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_real))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))
% 19.21/19.40  (assume a1789 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_rat))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))))
% 19.21/19.40  (assume a1790 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (or (= (tptp.aa_num_nat tptp.numeral_numeral_nat W) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (not (= A tptp.zero_zero_int))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))))
% 19.21/19.40  (assume a1791 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) tptp.zero_zero_real)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a1792 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) tptp.zero_zero_rat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a1793 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.zero_zero_int)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a1794 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_real)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a1795 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_rat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a1796 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_int)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a1797 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))))
% 19.21/19.40  (assume a1798 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer) A))))
% 19.21/19.40  (assume a1799 (forall ((A tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_nat) A))))
% 19.21/19.40  (assume a1800 (forall ((A tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_int) A))))
% 19.21/19.40  (assume a1801 (forall ((A tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_real)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a1802 (forall ((A tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_rat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a1803 (forall ((A tptp.int) (W tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= A tptp.zero_zero_int)))))))
% 19.21/19.40  (assume a1804 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int tptp.zero_zero_nat) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.21/19.40  (assume a1805 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat tptp.zero_zero_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.21/19.40  (assume a1806 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.divide6298287555418463151nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)))))))
% 19.21/19.40  (assume a1807 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.21/19.40  (assume a1808 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.21/19.40  (assume a1809 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.21/19.40  (assume a1810 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.21/19.40  (assume a1811 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.modulo364778990260209775nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.modulo364778990260209775nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N))))))))
% 19.21/19.40  (assume a1812 (forall ((P tptp.fun_int_bool) (N tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int N) K))) (and (=> (= K tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (forall ((I2 tptp.int) (J3 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) J3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J3) K)) (= N (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) I2)) J3))) (tptp.pp (tptp.aa_int_bool P I2))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (forall ((I2 tptp.int) (J3 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) J3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J3) tptp.zero_zero_int)) (= N (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) I2)) J3))) (tptp.pp (tptp.aa_int_bool P I2)))))))))
% 19.21/19.40  (assume a1813 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) K)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L)) L)) tptp.one_one_int))))))
% 19.21/19.40  (assume a1814 (forall ((A tptp.int) (B2 tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int R2) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) R2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2) Q2))))))
% 19.21/19.40  (assume a1815 (forall ((A tptp.int) (B2 tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2) Q2))))))
% 19.21/19.40  (assume a1816 (forall ((A3 tptp.int) (N tptp.int)) (= A3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A3) N)) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A3) N)))))
% 19.21/19.40  (assume a1817 (forall ((K tptp.int) (P tptp.fun_int_fun_int_bool) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int N) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int N) K))) (forall ((I2 tptp.int) (J3 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) J3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J3) tptp.zero_zero_int)) (= N (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) I2)) J3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P I2) J3))))))))
% 19.21/19.40  (assume a1818 (forall ((K tptp.int) (P tptp.fun_int_fun_int_bool) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int N) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int N) K))) (forall ((I2 tptp.int) (J3 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) J3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J3) K)) (= N (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) I2)) J3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P I2) J3))))))))
% 19.21/19.40  (assume a1819 (forall ((X tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X) K)) X))))))
% 19.21/19.40  (assume a1820 (forall ((A3 tptp.int) (B3 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A3) B3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A3) N)) (tptp.aa_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B3) N)) tptp.zero_zero_int) tptp.one_one_int) tptp.zero_zero_int))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B3) N)))))))
% 19.21/19.40  (assume a1821 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C)))))
% 19.21/19.40  (assume a1822 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))))
% 19.21/19.40  (assume a1823 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)))))))
% 19.21/19.40  (assume a1824 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 19.21/19.40  (assume a1825 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a1826 (forall ((K tptp.int) (I tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int I) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) I))))))
% 19.21/19.40  (assume a1827 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a1828 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A))))))
% 19.21/19.40  (assume a1829 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a1830 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a1831 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a1832 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L)))))))
% 19.21/19.40  (assume a1833 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L))) (or (= K tptp.zero_zero_int) (= L tptp.zero_zero_int) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)))))))
% 19.21/19.40  (assume a1834 (forall ((A tptp.int) (B tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))))
% 19.21/19.40  (assume a1835 (forall ((A tptp.int) (A2 tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A2) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))))))
% 19.21/19.40  (assume a1836 (forall ((I tptp.int) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int I) K) tptp.zero_zero_int) (or (= K tptp.zero_zero_int) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) K))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) I)))))))
% 19.21/19.40  (assume a1837 (forall ((A3 tptp.int) (B3 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A3) B3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) N)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A3) N) tptp.zero_zero_int) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B3) N) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A3) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B3) N)))))))))
% 19.21/19.40  (assume a1838 (forall ((A tptp.int) (B tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B))))))))
% 19.21/19.40  (assume a1839 (forall ((A tptp.int) (A2 tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A2) B2)))))))
% 19.21/19.40  (assume a1840 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)) (=> (= A tptp.zero_zero_real) (= B2 tptp.zero_zero_real)))))
% 19.21/19.40  (assume a1841 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)) (=> (= A tptp.zero_zero_rat) (= B2 tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a1842 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) A))))
% 19.21/19.40  (assume a1843 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) A))))
% 19.21/19.40  (assume a1844 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) A))))
% 19.21/19.40  (assume a1845 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 19.21/19.40  (assume a1846 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 19.21/19.40  (assume a1847 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 19.21/19.40  (assume a1848 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer tptp.zero_z3403309356797280102nteger) A)) (= A tptp.zero_z3403309356797280102nteger))))
% 19.21/19.40  (assume a1849 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real tptp.zero_zero_real) A)) (= A tptp.zero_zero_real))))
% 19.21/19.40  (assume a1850 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat tptp.zero_zero_rat) A)) (= A tptp.zero_zero_rat))))
% 19.21/19.40  (assume a1851 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) A)) (= A tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1852 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int tptp.zero_zero_int) A)) (= A tptp.zero_zero_int))))
% 19.21/19.40  (assume a1853 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M)) (= M N)))))
% 19.21/19.40  (assume a1854 (forall ((X tptp.literal)) (= (= tptp.zero_zero_literal X) (= X tptp.zero_zero_literal))))
% 19.21/19.40  (assume a1855 (forall ((X tptp.real)) (= (= tptp.zero_zero_real X) (= X tptp.zero_zero_real))))
% 19.21/19.40  (assume a1856 (forall ((X tptp.rat)) (= (= tptp.zero_zero_rat X) (= X tptp.zero_zero_rat))))
% 19.21/19.40  (assume a1857 (forall ((X tptp.nat)) (= (= tptp.zero_zero_nat X) (= X tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1858 (forall ((X tptp.int)) (= (= tptp.zero_zero_int X) (= X tptp.zero_zero_int))))
% 19.21/19.40  (assume a1859 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer tptp.zero_z3403309356797280102nteger) tptp.one_one_Code_integer))))
% 19.21/19.40  (assume a1860 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat tptp.zero_zero_nat) tptp.one_one_nat))))
% 19.21/19.40  (assume a1861 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int tptp.zero_zero_int) tptp.one_one_int))))
% 19.21/19.40  (assume a1862 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (= (tptp.divide6298287555418463151nteger A B2) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger)))))
% 19.21/19.40  (assume a1863 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex B2) A)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) tptp.zero_zero_complex) (= A tptp.zero_zero_complex)))))
% 19.21/19.40  (assume a1864 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) A)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) tptp.zero_zero_real) (= A tptp.zero_zero_real)))))
% 19.21/19.40  (assume a1865 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B2) A)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) tptp.zero_zero_rat) (= A tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a1866 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2) tptp.zero_zero_nat) (= A tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1867 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2) tptp.zero_zero_int) (= A tptp.zero_zero_int)))))
% 19.21/19.40  (assume a1868 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M)))))))
% 19.21/19.40  (assume a1869 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)))))
% 19.21/19.40  (assume a1870 (forall ((A tptp.int) (B2 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)))))
% 19.21/19.40  (assume a1871 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A B2) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)))))
% 19.21/19.40  (assume a1872 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B2) A) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1873 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) A) tptp.zero_zero_int))))
% 19.21/19.40  (assume a1874 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (= (tptp.modulo364778990260209775nteger B2 A) tptp.zero_z3403309356797280102nteger))))
% 19.21/19.40  (assume a1875 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)))))
% 19.21/19.40  (assume a1876 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)))))
% 19.21/19.40  (assume a1877 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.modulo364778990260209775nteger A B2) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)))))
% 19.21/19.40  (assume a1878 (forall ((X tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (not (forall ((N3 tptp.nat)) (not (= X (tptp.aa_nat_nat tptp.suc N3))))))))
% 19.21/19.40  (assume a1879 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) A)))))))
% 19.21/19.40  (assume a1880 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) tptp.one_one_int)) A))) tptp.one_one_int)))))
% 19.21/19.40  (assume a1881 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (not (=> (not (= A tptp.zero_z3403309356797280102nteger)) (forall ((C3 tptp.code_integer)) (not (= B2 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C3)))))))))
% 19.21/19.40  (assume a1882 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (not (=> (not (= A tptp.zero_zero_nat)) (forall ((C3 tptp.nat)) (not (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C3)))))))))
% 19.21/19.40  (assume a1883 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (not (=> (not (= A tptp.zero_zero_int)) (forall ((C3 tptp.int)) (not (= B2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C3)))))))))
% 19.21/19.40  (assume a1884 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (= (= (tptp.divide6298287555418463151nteger B2 A) C) (= B2 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A)))))))
% 19.21/19.40  (assume a1885 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A) C) (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)))))))
% 19.21/19.40  (assume a1886 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A) C) (= B2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)))))))
% 19.21/19.40  (assume a1887 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (not (= B2 tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger A B2)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B2))))))))
% 19.21/19.40  (assume a1888 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2))))))))
% 19.21/19.40  (assume a1889 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))))))))
% 19.21/19.40  (assume a1890 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.divide6298287555418463151nteger B2 C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C)) B2)))))))
% 19.21/19.40  (assume a1891 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) B2)))))))
% 19.21/19.40  (assume a1892 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (not (= C tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) B2)))))))
% 19.21/19.40  (assume a1893 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer) (D tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (not (= C tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) D)) (= (= (tptp.divide6298287555418463151nteger B2 A) (tptp.divide6298287555418463151nteger D C)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) D)))))))))
% 19.21/19.40  (assume a1894 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat) (D tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (not (= C tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) D)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat D) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) D)))))))))
% 19.21/19.40  (assume a1895 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (not (= C tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) D)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int D) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)))))))))
% 19.21/19.40  (assume a1896 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (= (tptp.divide6298287555418463151nteger A B2) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger)))))
% 19.21/19.40  (assume a1897 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2) tptp.zero_zero_nat) (= A tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1898 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2) tptp.zero_zero_int) (= A tptp.zero_zero_int)))))
% 19.21/19.40  (assume a1899 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger A N)) tptp.one_one_Code_integer)) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= N tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1900 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) tptp.one_one_nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= N tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1901 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.one_one_int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= N tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1902 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1903 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int))))
% 19.21/19.40  (assume a1904 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.modulo364778990260209775nteger A B2) tptp.zero_z3403309356797280102nteger))))
% 19.21/19.40  (assume a1905 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N))))))
% 19.21/19.40  (assume a1906 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N))))))
% 19.21/19.40  (assume a1907 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N))))))
% 19.21/19.40  (assume a1908 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) N) tptp.one_one_rat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) N) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a1909 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N) tptp.one_one_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1910 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a1911 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) N) tptp.one_one_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) N) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a1912 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) N) tptp.one_one_complex)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) N) tptp.zero_zero_complex)))))
% 19.21/19.40  (assume a1913 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) N) tptp.zero_zero_rat))))
% 19.21/19.40  (assume a1914 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a1915 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) N) tptp.zero_zero_real))))
% 19.21/19.40  (assume a1916 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) N) tptp.zero_zero_int))))
% 19.21/19.40  (assume a1917 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) N) tptp.zero_zero_complex))))
% 19.21/19.40  (assume a1918 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M))))))
% 19.21/19.40  (assume a1919 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se2793503036327961859nteger M A))) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= M tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a1920 (forall ((M tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int M) A))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= M tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a1921 (forall ((M tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M) A))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= M tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a1922 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1345352211410354436nteger M A))) (not (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a1923 (forall ((M tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) A))) (not (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a1924 (forall ((M tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M) A))) (not (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a1925 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se8260200283734997820nteger M A))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1926 (forall ((M tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) A))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1927 (forall ((M tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) A))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= M tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a1928 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) A)))))
% 19.21/19.40  (assume a1929 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) A)))))
% 19.21/19.40  (assume a1930 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) A)))))
% 19.21/19.40  (assume a1931 (forall ((A tptp.nat) (B2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)))))
% 19.21/19.40  (assume a1932 (forall ((A tptp.int) (B2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)))))
% 19.21/19.40  (assume a1933 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) C)))))
% 19.21/19.40  (assume a1934 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) C)))))
% 19.21/19.40  (assume a1935 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B2) C)))))
% 19.21/19.40  (assume a1936 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) C)))))
% 19.21/19.40  (assume a1937 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) C)))))
% 19.21/19.40  (assume a1938 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer) (D tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) D)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) D)))))))
% 19.21/19.40  (assume a1939 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real C) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)))))))
% 19.21/19.40  (assume a1940 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat C) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)))))))
% 19.21/19.40  (assume a1941 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) D)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))
% 19.21/19.40  (assume a1942 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))
% 19.21/19.40  (assume a1943 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)))))
% 19.21/19.40  (assume a1944 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))
% 19.21/19.40  (assume a1945 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))
% 19.21/19.40  (assume a1946 (forall ((A tptp.nat) (B2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)))))
% 19.21/19.40  (assume a1947 (forall ((A tptp.int) (B2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)))))
% 19.21/19.40  (assume a1948 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C)))))
% 19.21/19.40  (assume a1949 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C)))))
% 19.21/19.40  (assume a1950 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C)))))
% 19.21/19.40  (assume a1951 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)))))
% 19.21/19.40  (assume a1952 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)))))
% 19.21/19.40  (assume a1953 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C))))))
% 19.21/19.40  (assume a1954 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))))))
% 19.21/19.40  (assume a1955 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))))))
% 19.21/19.40  (assume a1956 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))))))
% 19.21/19.40  (assume a1957 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))))))
% 19.21/19.40  (assume a1958 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C))))))
% 19.21/19.40  (assume a1959 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))))))
% 19.21/19.40  (assume a1960 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))))))
% 19.21/19.40  (assume a1961 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))))))
% 19.21/19.40  (assume a1962 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))))))
% 19.21/19.40  (assume a1963 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (exists ((K3 tptp.code_integer)) (= A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) K3))))))
% 19.21/19.40  (assume a1964 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) A)) (exists ((K3 tptp.real)) (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) K3))))))
% 19.21/19.40  (assume a1965 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B2) A)) (exists ((K3 tptp.rat)) (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) K3))))))
% 19.21/19.40  (assume a1966 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (exists ((K3 tptp.nat)) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) K3))))))
% 19.21/19.40  (assume a1967 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (exists ((K3 tptp.int)) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) K3))))))
% 19.21/19.40  (assume a1968 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (K tptp.code_integer)) (=> (= A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) K)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)))))
% 19.21/19.40  (assume a1969 (forall ((A tptp.real) (B2 tptp.real) (K tptp.real)) (=> (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) K)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) A)))))
% 19.21/19.40  (assume a1970 (forall ((A tptp.rat) (B2 tptp.rat) (K tptp.rat)) (=> (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) K)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B2) A)))))
% 19.21/19.40  (assume a1971 (forall ((A tptp.nat) (B2 tptp.nat) (K tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)))))
% 19.21/19.40  (assume a1972 (forall ((A tptp.int) (B2 tptp.int) (K tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)))))
% 19.21/19.40  (assume a1973 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (not (forall ((K2 tptp.code_integer)) (not (= A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) K2))))))))
% 19.21/19.40  (assume a1974 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) A)) (not (forall ((K2 tptp.real)) (not (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) K2))))))))
% 19.21/19.40  (assume a1975 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B2) A)) (not (forall ((K2 tptp.rat)) (not (= A (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) K2))))))))
% 19.21/19.40  (assume a1976 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (not (forall ((K2 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) K2))))))))
% 19.21/19.40  (assume a1977 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (not (forall ((K2 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) K2))))))))
% 19.21/19.40  (assume a1978 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer))))))
% 19.21/19.40  (assume a1979 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat))))))
% 19.21/19.40  (assume a1980 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int))))))
% 19.21/19.40  (assume a1981 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)))))
% 19.21/19.40  (assume a1982 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)))))
% 19.21/19.40  (assume a1983 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)))))
% 19.21/19.40  (assume a1984 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer tptp.one_one_Code_integer) A))))
% 19.21/19.40  (assume a1985 (forall ((A tptp.complex)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex tptp.one_one_complex) A))))
% 19.21/19.40  (assume a1986 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real tptp.one_one_real) A))))
% 19.21/19.40  (assume a1987 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat tptp.one_one_rat) A))))
% 19.21/19.40  (assume a1988 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat tptp.one_one_nat) A))))
% 19.21/19.40  (assume a1989 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int tptp.one_one_int) A))))
% 19.21/19.40  (assume a1990 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B2 C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 19.21/19.40  (assume a1991 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C))))))
% 19.21/19.40  (assume a1992 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C))))))
% 19.21/19.40  (assume a1993 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 19.21/19.40  (assume a1994 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 19.21/19.40  (assume a1995 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B2 C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2))))))
% 19.21/19.40  (assume a1996 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2))))))
% 19.21/19.40  (assume a1997 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2))))))
% 19.21/19.40  (assume a1998 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2))))))
% 19.21/19.40  (assume a1999 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2))))))
% 19.21/19.40  (assume a2000 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.plus_p5714425477246183910nteger B2 C)))))))
% 19.21/19.40  (assume a2001 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) C)))))))
% 19.21/19.40  (assume a2002 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) C)))))))
% 19.21/19.40  (assume a2003 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) C)))))))
% 19.21/19.40  (assume a2004 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) C)))))))
% 19.21/19.40  (assume a2005 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.minus_8373710615458151222nteger C B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.minus_8373710615458151222nteger B2 C))))))
% 19.21/19.40  (assume a2006 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) C))))))
% 19.21/19.40  (assume a2007 (forall ((X tptp.code_integer) (Y tptp.code_integer) (Z tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) Y)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) Z)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) (tptp.minus_8373710615458151222nteger Y Z)))))))
% 19.21/19.40  (assume a2008 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z)))))))
% 19.21/19.40  (assume a2009 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X) (tptp.aa_rat_rat (tptp.minus_minus_rat Y) Z)))))))
% 19.21/19.40  (assume a2010 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Y) Z)))))))
% 19.21/19.40  (assume a2011 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (= (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B2 C)) (= A B2))))))
% 19.21/19.40  (assume a2012 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex C) A)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex C) B2)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (= A B2))))))
% 19.21/19.40  (assume a2013 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real C) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real C) B2)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (= A B2))))))
% 19.21/19.40  (assume a2014 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat C) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat C) B2)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) C) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (= A B2))))))
% 19.21/19.40  (assume a2015 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C)) (= A B2))))))
% 19.21/19.40  (assume a2016 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)) (= A B2))))))
% 19.21/19.40  (assume a2017 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (=> (= (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B2 C)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= A B2))))))
% 19.21/19.40  (assume a2018 (forall ((A tptp.complex) (C tptp.complex) (B2 tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) C) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex C) A)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex C) B2)) (= A B2))))))
% 19.21/19.40  (assume a2019 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real C) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real C) B2)) (= A B2))))))
% 19.21/19.40  (assume a2020 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) C) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat C) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat C) B2)) (= A B2))))))
% 19.21/19.40  (assume a2021 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= A B2))))))
% 19.21/19.40  (assume a2022 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= A B2))))))
% 19.21/19.40  (assume a2023 (forall ((D tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A D) (tptp.divide6298287555418463151nteger B2 D)) (tptp.divide6298287555418463151nteger A B2))))))
% 19.21/19.40  (assume a2024 (forall ((D tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))))))
% 19.21/19.40  (assume a2025 (forall ((D tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.21/19.40  (assume a2026 (forall ((X tptp.code_integer) (Y tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger X N)) (tptp.power_8256067586552552935nteger Y N))))))
% 19.21/19.40  (assume a2027 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) N))))))
% 19.21/19.40  (assume a2028 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N))))))
% 19.21/19.40  (assume a2029 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X) N)) (tptp.aa_nat_int (tptp.power_power_int Y) N))))))
% 19.21/19.40  (assume a2030 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex X) Y)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) N))))))
% 19.21/19.40  (assume a2031 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A))))))
% 19.21/19.40  (assume a2032 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A))))))
% 19.21/19.40  (assume a2033 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) (tptp.modulo364778990260209775nteger A B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A))))))
% 19.21/19.40  (assume a2034 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A))))))
% 19.21/19.40  (assume a2035 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A))))))
% 19.21/19.40  (assume a2036 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) (tptp.modulo364778990260209775nteger A B2))) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A))))))
% 19.21/19.40  (assume a2037 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))))))
% 19.21/19.40  (assume a2038 (forall ((K tptp.int) (M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) M)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int M) N)))))))
% 19.21/19.40  (assume a2039 (forall ((K tptp.code_integer) (M tptp.code_integer) (N tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer K) M)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer K) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer K) (tptp.modulo364778990260209775nteger M N)))))))
% 19.21/19.40  (assume a2040 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) C)))))
% 19.21/19.40  (assume a2041 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C)))))
% 19.21/19.40  (assume a2042 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.modulo364778990260209775nteger (tptp.modulo364778990260209775nteger A B2) C) (tptp.modulo364778990260209775nteger A C)))))
% 19.21/19.40  (assume a2043 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))))
% 19.21/19.40  (assume a2044 (forall ((X tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X))))
% 19.21/19.40  (assume a2045 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.zero_zero_real)))
% 19.21/19.40  (assume a2046 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) tptp.zero_zero_rat)))
% 19.21/19.40  (assume a2047 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.21/19.40  (assume a2048 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.21/19.40  (assume a2049 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (not (= N tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2050 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (not (= N tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2051 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2052 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.21/19.40  (assume a2053 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.zero_zero_real))))
% 19.21/19.40  (assume a2054 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) tptp.zero_zero_rat))))
% 19.21/19.40  (assume a2055 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2056 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.zero_zero_int))))
% 19.21/19.40  (assume a2057 (forall ((D1 tptp.real) (D22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D22)) (exists ((E2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real E2) D1)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real E2) D22))))))))
% 19.21/19.40  (assume a2058 (forall ((D1 tptp.rat) (D22 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) D1)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) D22)) (exists ((E2 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat E2) D1)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat E2) D22))))))))
% 19.21/19.40  (assume a2059 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.numera6690914467698888265omplex N)))))
% 19.21/19.40  (assume a2060 (forall ((N tptp.num)) (not (= tptp.zero_zero_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.21/19.40  (assume a2061 (forall ((N tptp.num)) (not (= tptp.zero_zero_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.21/19.40  (assume a2062 (forall ((N tptp.num)) (not (= tptp.zero_zero_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 19.21/19.40  (assume a2063 (forall ((N tptp.num)) (not (= tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.21/19.40  (assume a2064 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)) (= A B2)))))
% 19.21/19.40  (assume a2065 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)) (= A B2)))))
% 19.21/19.40  (assume a2066 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (= A B2)))))
% 19.21/19.40  (assume a2067 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (= A B2)))))
% 19.21/19.40  (assume a2068 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)) (= A B2)))))
% 19.21/19.40  (assume a2069 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)) (= A B2)))))
% 19.21/19.40  (assume a2070 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (not (= C tptp.zero_zero_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)) (= A B2)))))
% 19.21/19.40  (assume a2071 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (= A B2)))))
% 19.21/19.40  (assume a2072 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B2 tptp.zero_zero_real)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2073 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B2 tptp.zero_zero_rat)) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2074 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (not (= B2 tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2075 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (not (= B2 tptp.zero_zero_int)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2076 (forall ((A tptp.real) (B2 tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2) tptp.zero_zero_real) (or (= A tptp.zero_zero_real) (= B2 tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2077 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2) tptp.zero_zero_rat) (or (= A tptp.zero_zero_rat) (= B2 tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2078 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2) tptp.zero_zero_nat) (or (= A tptp.zero_zero_nat) (= B2 tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2079 (forall ((A tptp.int) (B2 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) tptp.zero_zero_int) (or (= A tptp.zero_zero_int) (= B2 tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2080 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2) tptp.zero_zero_real)) (and (not (= A tptp.zero_zero_real)) (not (= B2 tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2081 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2) tptp.zero_zero_rat)) (and (not (= A tptp.zero_zero_rat)) (not (= B2 tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2082 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2) tptp.zero_zero_nat)) (and (not (= A tptp.zero_zero_nat)) (not (= B2 tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2083 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) tptp.zero_zero_int)) (and (not (= A tptp.zero_zero_int)) (not (= B2 tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2084 (not (= tptp.zero_zero_complex tptp.one_one_complex)))
% 19.21/19.40  (assume a2085 (not (= tptp.zero_zero_real tptp.one_one_real)))
% 19.21/19.40  (assume a2086 (not (= tptp.zero_zero_rat tptp.one_one_rat)))
% 19.21/19.40  (assume a2087 (not (= tptp.zero_zero_nat tptp.one_one_nat)))
% 19.21/19.40  (assume a2088 (not (= tptp.zero_zero_int tptp.one_one_int)))
% 19.21/19.40  (assume a2089 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 19.21/19.40  (assume a2090 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 19.21/19.40  (assume a2091 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 19.21/19.40  (assume a2092 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 19.21/19.40  (assume a2093 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 19.21/19.40  (assume a2094 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 19.21/19.40  (assume a2095 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 19.21/19.40  (assume a2096 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.zero_zero_real) A) A)))
% 19.21/19.40  (assume a2097 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.zero_zero_rat) A) A)))
% 19.21/19.40  (assume a2098 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) A) A)))
% 19.21/19.40  (assume a2099 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) A) A)))
% 19.21/19.40  (assume a2100 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.zero_zero_real) A)))
% 19.21/19.40  (assume a2101 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.zero_zero_rat) A)))
% 19.21/19.40  (assume a2102 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.zero_zero_nat) A)))
% 19.21/19.40  (assume a2103 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.zero_zero_int) A)))
% 19.21/19.40  (assume a2104 (forall ((A tptp.real) (B2 tptp.real)) (= (= A B2) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) tptp.zero_zero_real))))
% 19.21/19.40  (assume a2105 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A B2) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) tptp.zero_zero_rat))))
% 19.21/19.40  (assume a2106 (forall ((A tptp.int) (B2 tptp.int)) (= (= A B2) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) tptp.zero_zero_int))))
% 19.21/19.40  (assume a2107 (forall ((A tptp.rat) (N tptp.nat)) (=> (not (= A tptp.zero_zero_rat)) (not (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2108 (forall ((A tptp.nat) (N tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2109 (forall ((A tptp.real) (N tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2110 (forall ((A tptp.int) (N tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int A) N) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2111 (forall ((A tptp.complex) (N tptp.nat)) (=> (not (= A tptp.zero_zero_complex)) (not (= (tptp.aa_nat_complex (tptp.power_power_complex A) N) tptp.zero_zero_complex)))))
% 19.21/19.40  (assume a2112 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (exists ((M4 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M4))))))
% 19.21/19.40  (assume a2113 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M)))))
% 19.21/19.40  (assume a2114 (forall ((M tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc M)))))
% 19.21/19.40  (assume a2115 (forall ((M tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc M) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2116 (forall ((P tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))) (tptp.pp (tptp.aa_nat_bool P N3)))) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2117 (forall ((P tptp.fun_nat_fun_nat_bool) (M tptp.nat) (N tptp.nat)) (=> (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X3) tptp.zero_zero_nat))) (=> (forall ((Y3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc Y3)))) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P (tptp.aa_nat_nat tptp.suc X3)) (tptp.aa_nat_nat tptp.suc Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M) N)))))))
% 19.21/19.40  (assume a2118 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 19.21/19.40  (assume a2119 (forall ((Y tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (not (forall ((Nat3 tptp.nat)) (not (= Y (tptp.aa_nat_nat tptp.suc Nat3))))))))
% 19.21/19.40  (assume a2120 (forall ((Nat tptp.nat) (X22 tptp.nat)) (=> (= Nat (tptp.aa_nat_nat tptp.suc X22)) (not (= Nat tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2121 (forall ((Nat2 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc Nat2)))))
% 19.21/19.40  (assume a2122 (forall ((Nat2 tptp.nat)) (not (= (tptp.aa_nat_nat tptp.suc Nat2) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2123 (forall ((X22 tptp.nat)) (not (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc X22)))))
% 19.21/19.40  (assume a2124 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (=> (not (tptp.pp (tptp.aa_nat_bool P N3))) (exists ((M5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N3)) (not (tptp.pp (tptp.aa_nat_bool P M5)))))))) (tptp.pp (tptp.aa_nat_bool P N))))))
% 19.21/19.40  (assume a2125 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (not (= N tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2126 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2127 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2128 (forall ((N tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))) (= N tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2129 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.21/19.40  (assume a2130 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2131 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) tptp.zero_zero_nat)) (= N tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2132 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (= A tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2133 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (= A tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2134 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) N))))
% 19.21/19.40  (assume a2135 (forall ((M tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N) M) (= N tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2136 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.zero_zero_nat) N) N)))
% 19.21/19.40  (assume a2137 (forall ((M tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) tptp.zero_zero_nat) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M) tptp.zero_zero_nat) (= M N)))))
% 19.21/19.40  (assume a2138 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.zero_zero_nat) M)))
% 19.21/19.40  (assume a2139 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)) (or (= K tptp.zero_zero_nat) (= M N)))))
% 19.21/19.40  (assume a2140 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 19.21/19.40  (assume a2141 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 19.21/19.40  (assume a2142 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 19.21/19.40  (assume a2143 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)))
% 19.21/19.40  (assume a2144 (forall ((A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (not (=> (not (= A tptp.zero_z3403309356797280102nteger)) (forall ((B4 tptp.code_integer)) (=> (not (= B4 tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B4) tptp.one_one_Code_integer)) (=> (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer A) B4) (=> (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer B4) A) (=> (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B4) tptp.one_one_Code_integer) (not (= (tptp.divide6298287555418463151nteger C A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B4))))))))))))))
% 19.21/19.40  (assume a2145 (forall ((A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (not (=> (not (= A tptp.zero_zero_nat)) (forall ((B4 tptp.nat)) (=> (not (= B4 tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B4) tptp.one_one_nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) A) B4) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) B4) A) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B4) tptp.one_one_nat) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B4))))))))))))))
% 19.21/19.40  (assume a2146 (forall ((A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (not (=> (not (= A tptp.zero_zero_int)) (forall ((B4 tptp.int)) (=> (not (= B4 tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B4) tptp.one_one_int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) A) B4) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) B4) A) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B4) tptp.one_one_int) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int C) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B4))))))))))))))
% 19.21/19.40  (assume a2147 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer B2))))))
% 19.21/19.40  (assume a2148 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) B2))))))
% 19.21/19.40  (assume a2149 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) B2))))))
% 19.21/19.40  (assume a2150 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) A)) (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer B2))))))
% 19.21/19.40  (assume a2151 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) B2))))))
% 19.21/19.40  (assume a2152 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (= A tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) B2))))))
% 19.21/19.40  (assume a2153 (forall ((X tptp.code_integer) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_z3403309356797280102nteger)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger X M)) (tptp.power_8256067586552552935nteger X N))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 19.21/19.40  (assume a2154 (forall ((X tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 19.21/19.40  (assume a2155 (forall ((X tptp.int) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X) M)) (tptp.aa_nat_int (tptp.power_power_int X) N))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) tptp.one_one_int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))))
% 19.21/19.40  (assume a2156 (forall ((N tptp.nat) (X tptp.code_integer)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) (tptp.power_8256067586552552935nteger X N))))))
% 19.21/19.40  (assume a2157 (forall ((N tptp.nat) (X tptp.rat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X) (tptp.aa_nat_rat (tptp.power_power_rat X) N))))))
% 19.21/19.40  (assume a2158 (forall ((N tptp.nat) (X tptp.nat)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N))))))
% 19.21/19.40  (assume a2159 (forall ((N tptp.nat) (X tptp.real)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))
% 19.21/19.40  (assume a2160 (forall ((N tptp.nat) (X tptp.int)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) (tptp.aa_nat_int (tptp.power_power_int X) N))))))
% 19.21/19.40  (assume a2161 (forall ((N tptp.nat) (X tptp.complex)) (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= X tptp.one_one_complex)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex X) (tptp.aa_nat_complex (tptp.power_power_complex X) N))))))
% 19.21/19.40  (assume a2162 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.times_7803423173614009249d_enat M N))) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) M)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N))))))
% 19.21/19.40  (assume a2163 (forall ((N tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat N) tptp.zero_z5237406670263579293d_enat)))))
% 19.21/19.40  (assume a2164 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (= (tptp.plus_p3455044024723400733d_enat M N) tptp.zero_z5237406670263579293d_enat) (and (= M tptp.zero_z5237406670263579293d_enat) (= N tptp.zero_z5237406670263579293d_enat)))))
% 19.21/19.40  (assume a2165 (forall ((N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat N) tptp.zero_z5237406670263579293d_enat)) (= N tptp.zero_z5237406670263579293d_enat))))
% 19.21/19.40  (assume a2166 (forall ((N tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat tptp.zero_z5237406670263579293d_enat) N))))
% 19.21/19.40  (assume a2167 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) M)) (= N tptp.one_one_nat)))))
% 19.21/19.40  (assume a2168 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) M)) M)) (= N tptp.one_one_nat)))))
% 19.21/19.40  (assume a2169 (forall ((A tptp.real) (N tptp.nat) (B2 tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B2)))))))
% 19.21/19.40  (assume a2170 (forall ((A tptp.rat) (N tptp.nat) (B2 tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) (tptp.aa_nat_rat (tptp.power_power_rat B2) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B2)))))))
% 19.21/19.40  (assume a2171 (forall ((A tptp.nat) (N tptp.nat) (B2 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B2)))))))
% 19.21/19.40  (assume a2172 (forall ((A tptp.int) (N tptp.nat) (B2 tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int A) N) (tptp.aa_nat_int (tptp.power_power_int B2) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B2)))))))
% 19.21/19.40  (assume a2173 (forall ((N tptp.nat) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)) (= A B2)))))))
% 19.21/19.40  (assume a2174 (forall ((N tptp.nat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) N) (tptp.aa_nat_rat (tptp.power_power_rat B2) N)) (= A B2)))))))
% 19.21/19.40  (assume a2175 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)) (= A B2)))))))
% 19.21/19.40  (assume a2176 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) N) (tptp.aa_nat_int (tptp.power_power_int B2) N)) (= A B2)))))))
% 19.21/19.40  (assume a2177 (forall ((M tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int K) M)) K) (tptp.aa_nat_int (tptp.power_power_int K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))
% 19.21/19.40  (assume a2178 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (or (= N tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (not (= A tptp.zero_zero_real))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))
% 19.21/19.40  (assume a2179 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (or (= N tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (not (= A tptp.zero_zero_rat))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))))
% 19.21/19.40  (assume a2180 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))) (or (= N tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (not (= A tptp.zero_zero_int))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))))
% 19.21/19.40  (assume a2181 (forall ((M tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri6519982836138164636nteger M A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 19.21/19.40  (assume a2182 (forall ((M tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int M) A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 19.21/19.40  (assume a2183 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real R3) N) A)))))))
% 19.21/19.40  (assume a2184 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X3) N) A) (forall ((Y4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y4)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y4) N) A)) (= Y4 X3)))))))))
% 19.21/19.40  (assume a2185 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) tptp.zero_zero_real)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= A tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a2186 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) tptp.zero_zero_rat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= A tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a2187 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (or (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= A tptp.zero_zero_int)))))))
% 19.21/19.40  (assume a2188 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2189 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))))
% 19.21/19.40  (assume a2190 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))))
% 19.21/19.40  (assume a2191 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.21/19.40  (assume a2192 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)))))
% 19.21/19.40  (assume a2193 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.21/19.40  (assume a2194 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.21/19.40  (assume a2195 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) tptp.one_one_Code_integer)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer))))))
% 19.21/19.40  (assume a2196 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.one_one_nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat))))))
% 19.21/19.40  (assume a2197 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.one_one_int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int))))))
% 19.21/19.40  (assume a2198 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 19.21/19.40  (assume a2199 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 19.21/19.40  (assume a2200 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 19.21/19.40  (assume a2201 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 19.21/19.40  (assume a2202 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 19.21/19.40  (assume a2203 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 19.21/19.40  (assume a2204 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 19.21/19.40  (assume a2205 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 19.21/19.40  (assume a2206 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 19.21/19.40  (assume a2207 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) C))))))
% 19.21/19.40  (assume a2208 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) C))))))
% 19.21/19.40  (assume a2209 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) C))))))
% 19.21/19.40  (assume a2210 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C)) (= B2 C)))))
% 19.21/19.40  (assume a2211 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (= B2 C)))))
% 19.21/19.40  (assume a2212 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (= B2 C)))))
% 19.21/19.40  (assume a2213 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) A)) (= B2 C)))))
% 19.21/19.40  (assume a2214 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (= B2 C)))))
% 19.21/19.40  (assume a2215 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (= B2 C)))))
% 19.21/19.40  (assume a2216 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger B2 C)) A) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) A) C)))))
% 19.21/19.40  (assume a2217 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)) C)))))
% 19.21/19.40  (assume a2218 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)) C)))))
% 19.21/19.40  (assume a2219 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B2 C)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C)))))
% 19.21/19.40  (assume a2220 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C)))))
% 19.21/19.40  (assume a2221 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C)))))
% 19.21/19.40  (assume a2222 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (tptp.divide6298287555418463151nteger A (tptp.divide6298287555418463151nteger B2 C)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) C))))))
% 19.21/19.40  (assume a2223 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C))))))
% 19.21/19.40  (assume a2224 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C))))))
% 19.21/19.40  (assume a2225 (forall ((B2 tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C)) A)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C)) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A B2) C)))))
% 19.21/19.40  (assume a2226 (forall ((B2 tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C)))))
% 19.21/19.40  (assume a2227 (forall ((B2 tptp.int) (C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C)))))
% 19.21/19.40  (assume a2228 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C)) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.divide6298287555418463151nteger B2 C))))))
% 19.21/19.40  (assume a2229 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C))))))
% 19.21/19.40  (assume a2230 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C))))))
% 19.21/19.40  (assume a2231 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (D tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) C)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) (tptp.divide6298287555418463151nteger C D)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) D)))))))
% 19.21/19.40  (assume a2232 (forall ((B2 tptp.nat) (A tptp.nat) (D tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))
% 19.21/19.40  (assume a2233 (forall ((B2 tptp.int) (A tptp.int) (D tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int C) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))
% 19.21/19.40  (assume a2234 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) tptp.one_one_Code_integer)) (= (= (tptp.divide6298287555418463151nteger B2 A) (tptp.divide6298287555418463151nteger C A)) (= B2 C)))))
% 19.21/19.40  (assume a2235 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) tptp.one_one_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) A)) (= B2 C)))))
% 19.21/19.40  (assume a2236 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) tptp.one_one_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int C) A)) (= B2 C)))))
% 19.21/19.40  (assume a2237 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.divide6298287555418463151nteger A B2)) C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 19.21/19.40  (assume a2238 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 19.21/19.40  (assume a2239 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 19.21/19.40  (assume a2240 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) (tptp.divide6298287555418463151nteger C B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) C))))))
% 19.21/19.40  (assume a2241 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) C))))))
% 19.21/19.40  (assume a2242 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) C))))))
% 19.21/19.40  (assume a2243 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) B2)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B2) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B2 C))))))
% 19.21/19.40  (assume a2244 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C))))))
% 19.21/19.40  (assume a2245 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C))))))
% 19.21/19.40  (assume a2246 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) A)) (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger A B2) C) (tptp.plus_p5714425477246183910nteger (tptp.divide6298287555418463151nteger A C) (tptp.divide6298287555418463151nteger B2 C))))))
% 19.21/19.40  (assume a2247 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C))))))
% 19.21/19.40  (assume a2248 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C))))))
% 19.21/19.40  (assume a2249 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (tptp.power_8256067586552552935nteger (tptp.divide6298287555418463151nteger A B2) N) (tptp.divide6298287555418463151nteger (tptp.power_8256067586552552935nteger A N) (tptp.power_8256067586552552935nteger B2 N))))))
% 19.21/19.40  (assume a2250 (forall ((B2 tptp.nat) (A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N))))))
% 19.21/19.40  (assume a2251 (forall ((B2 tptp.int) (A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N))))))
% 19.21/19.40  (assume a2252 (forall ((A tptp.real) (B2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N))))))))
% 19.21/19.40  (assume a2253 (forall ((A tptp.rat) (B2 tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N))))))))
% 19.21/19.40  (assume a2254 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N))))))))
% 19.21/19.40  (assume a2255 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N))))))))
% 19.21/19.40  (assume a2256 (forall ((M tptp.nat) (N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger A M)) (tptp.power_8256067586552552935nteger A N))))))
% 19.21/19.40  (assume a2257 (forall ((M tptp.nat) (N tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 19.21/19.40  (assume a2258 (forall ((M tptp.nat) (N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 19.21/19.40  (assume a2259 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 19.21/19.40  (assume a2260 (forall ((M tptp.nat) (N tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M)) (tptp.aa_nat_complex (tptp.power_power_complex A) N))))))
% 19.21/19.40  (assume a2261 (forall ((A tptp.code_integer) (N tptp.nat) (B2 tptp.code_integer) (M tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger A N)) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger A M)) B2))))))
% 19.21/19.40  (assume a2262 (forall ((A tptp.nat) (N tptp.nat) (B2 tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) B2))))))
% 19.21/19.40  (assume a2263 (forall ((A tptp.real) (N tptp.nat) (B2 tptp.real) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) B2))))))
% 19.21/19.40  (assume a2264 (forall ((A tptp.int) (N tptp.nat) (B2 tptp.int) (M tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) N)) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) M)) B2))))))
% 19.21/19.40  (assume a2265 (forall ((A tptp.complex) (N tptp.nat) (B2 tptp.complex) (M tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N)) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex A) M)) B2))))))
% 19.21/19.40  (assume a2266 (forall ((X tptp.code_integer) (Y tptp.code_integer) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger X N)) (tptp.power_8256067586552552935nteger Y M)))))))
% 19.21/19.40  (assume a2267 (forall ((X tptp.nat) (Y tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) M)))))))
% 19.21/19.40  (assume a2268 (forall ((X tptp.real) (Y tptp.real) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) M)))))))
% 19.21/19.40  (assume a2269 (forall ((X tptp.int) (Y tptp.int) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int X) N)) (tptp.aa_nat_int (tptp.power_power_int Y) M)))))))
% 19.21/19.40  (assume a2270 (forall ((X tptp.complex) (Y tptp.complex) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex Y) M)))))))
% 19.21/19.40  (assume a2271 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))))))
% 19.21/19.40  (assume a2272 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.modulo364778990260209775nteger A C) (tptp.modulo364778990260209775nteger B2 C)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) (tptp.minus_8373710615458151222nteger A B2))))))
% 19.21/19.40  (assume a2273 (forall ((B2 tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))))
% 19.21/19.40  (assume a2274 (forall ((B2 tptp.int) (A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))))
% 19.21/19.40  (assume a2275 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) (tptp.minus_8373710615458151222nteger A (tptp.modulo364778990260209775nteger A B2))))))
% 19.21/19.40  (assume a2276 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N))))))
% 19.21/19.40  (assume a2277 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) M)))))))
% 19.21/19.40  (assume a2278 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat K) N)))))))
% 19.21/19.40  (assume a2279 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.21/19.40  (assume a2280 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) X))))
% 19.21/19.40  (assume a2281 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) X))))
% 19.21/19.40  (assume a2282 (forall ((X tptp.int)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) X))))
% 19.21/19.40  (assume a2283 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.21/19.40  (assume a2284 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.21/19.40  (assume a2285 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 19.21/19.40  (assume a2286 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.21/19.40  (assume a2287 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2288 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2289 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2290 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2291 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)))))))
% 19.21/19.40  (assume a2292 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)))))))
% 19.21/19.40  (assume a2293 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)))))))
% 19.21/19.40  (assume a2294 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))))
% 19.21/19.40  (assume a2295 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a2296 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a2297 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)))))))
% 19.21/19.40  (assume a2298 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) A)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2299 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) A)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2300 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2301 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2302 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2303 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2304 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2305 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2306 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2307 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2308 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2309 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2310 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))
% 19.21/19.40  (assume a2311 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))
% 19.21/19.40  (assume a2312 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)))))))
% 19.21/19.40  (assume a2313 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)))))))
% 19.21/19.40  (assume a2314 (forall ((A tptp.real) (B2 tptp.real)) (=> (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2315 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2316 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) tptp.zero_zero_nat))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2317 (forall ((A tptp.int) (B2 tptp.int)) (=> (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2318 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)))))))
% 19.21/19.40  (assume a2319 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)))))))
% 19.21/19.40  (assume a2320 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.zero_zero_int)) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)))))))
% 19.21/19.40  (assume a2321 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))))
% 19.21/19.40  (assume a2322 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))))
% 19.21/19.40  (assume a2323 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))))
% 19.21/19.40  (assume a2324 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))))
% 19.21/19.40  (assume a2325 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))))
% 19.21/19.40  (assume a2326 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))))
% 19.21/19.40  (assume a2327 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))))
% 19.21/19.40  (assume a2328 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)))))))
% 19.21/19.40  (assume a2329 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)))))))
% 19.21/19.40  (assume a2330 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)))))))
% 19.21/19.40  (assume a2331 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))))
% 19.21/19.40  (assume a2332 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))
% 19.21/19.40  (assume a2333 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))
% 19.21/19.40  (assume a2334 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)))))))
% 19.21/19.40  (assume a2335 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)))))))
% 19.21/19.40  (assume a2336 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)))))))
% 19.21/19.40  (assume a2337 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))))
% 19.21/19.40  (assume a2338 (forall ((A tptp.real) (B2 tptp.real)) (=> (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))))))
% 19.21/19.40  (assume a2339 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))))))
% 19.21/19.40  (assume a2340 (forall ((A tptp.int) (B2 tptp.int)) (=> (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))))))
% 19.21/19.40  (assume a2341 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A)))))
% 19.21/19.40  (assume a2342 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A)))))
% 19.21/19.40  (assume a2343 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A)))))
% 19.21/19.40  (assume a2344 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)))))))))
% 19.21/19.40  (assume a2345 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)))))))))
% 19.21/19.40  (assume a2346 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))))
% 19.21/19.40  (assume a2347 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.21/19.40  (assume a2348 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)))))))))
% 19.21/19.40  (assume a2349 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)))))))))
% 19.21/19.40  (assume a2350 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))))
% 19.21/19.40  (assume a2351 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.21/19.40  (assume a2352 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2353 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2354 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.zero_zero_nat)))))
% 19.21/19.40  (assume a2355 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2356 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.21/19.40  (assume a2357 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.21/19.40  (assume a2358 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 19.21/19.40  (assume a2359 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.21/19.40  (assume a2360 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 19.21/19.40  (assume a2361 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 19.21/19.40  (assume a2362 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.21/19.40  (assume a2363 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.one_one_int)))
% 19.21/19.40  (assume a2364 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.one_one_real)))
% 19.21/19.40  (assume a2365 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 19.21/19.40  (assume a2366 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.21/19.40  (assume a2367 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) tptp.one_one_int)))
% 19.21/19.40  (assume a2368 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) tptp.zero_zero_real))))
% 19.21/19.40  (assume a2369 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) tptp.zero_zero_rat))))
% 19.21/19.40  (assume a2370 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2371 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) tptp.zero_zero_int))))
% 19.21/19.40  (assume a2372 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) B2))))))
% 19.21/19.40  (assume a2373 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B2))))))
% 19.21/19.40  (assume a2374 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) B2))))))
% 19.21/19.40  (assume a2375 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B2))))))
% 19.21/19.40  (assume a2376 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 19.21/19.40  (assume a2377 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 19.21/19.40  (assume a2378 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 19.21/19.40  (assume a2379 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 19.21/19.40  (assume a2380 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) B2))))))
% 19.21/19.40  (assume a2381 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)) B2))))))
% 19.21/19.40  (assume a2382 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)) B2))))))
% 19.21/19.40  (assume a2383 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)) B2))))))
% 19.21/19.40  (assume a2384 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 19.21/19.40  (assume a2385 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 19.21/19.40  (assume a2386 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 19.21/19.40  (assume a2387 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 19.21/19.40  (assume a2388 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)))))))
% 19.21/19.40  (assume a2389 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)))))))
% 19.21/19.40  (assume a2390 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)))))))
% 19.21/19.40  (assume a2391 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)))))))
% 19.21/19.40  (assume a2392 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2393 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2394 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2395 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2396 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a2397 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y) tptp.zero_zero_rat) (and (= X tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a2398 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 19.21/19.40  (assume a2399 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 19.21/19.40  (assume a2400 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y) tptp.zero_zero_real) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a2401 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y) tptp.zero_zero_rat) (and (= X tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a2402 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) tptp.zero_zero_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) tptp.zero_zero_nat) (and (= X tptp.zero_zero_nat) (= Y tptp.zero_zero_nat)))))))
% 19.21/19.40  (assume a2403 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.zero_zero_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y) tptp.zero_zero_int) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))))
% 19.21/19.40  (assume a2404 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)))))))
% 19.21/19.40  (assume a2405 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)))))))
% 19.21/19.40  (assume a2406 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)))))))
% 19.21/19.40  (assume a2407 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))))
% 19.21/19.40  (assume a2408 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))))
% 19.21/19.40  (assume a2409 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))))
% 19.21/19.40  (assume a2410 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)))))))
% 19.21/19.40  (assume a2411 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))))
% 19.21/19.40  (assume a2412 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))))
% 19.21/19.40  (assume a2413 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))))
% 19.21/19.40  (assume a2414 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))))
% 19.21/19.40  (assume a2415 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))))
% 19.21/19.40  (assume a2416 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))))
% 19.21/19.40  (assume a2417 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))))
% 19.21/19.40  (assume a2418 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))))
% 19.21/19.40  (assume a2419 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))))
% 19.21/19.40  (assume a2420 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)))))))
% 19.21/19.40  (assume a2421 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)))))))
% 19.21/19.40  (assume a2422 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)))))))
% 19.21/19.40  (assume a2423 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2)))))))
% 19.21/19.40  (assume a2424 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))))
% 19.21/19.40  (assume a2425 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2)))))))
% 19.21/19.40  (assume a2426 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2)))))))
% 19.21/19.40  (assume a2427 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))))
% 19.21/19.40  (assume a2428 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.21/19.40  (assume a2429 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.21/19.40  (assume a2430 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.21/19.40  (assume a2431 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))))))
% 19.21/19.40  (assume a2432 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))))))
% 19.21/19.40  (assume a2433 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A))))))
% 19.21/19.40  (assume a2434 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) A))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2))))))
% 19.21/19.40  (assume a2435 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) A))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2))))))
% 19.21/19.40  (assume a2436 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2))))))
% 19.21/19.40  (assume a2437 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2))))))
% 19.21/19.40  (assume a2438 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2))))))
% 19.21/19.40  (assume a2439 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2))))))
% 19.21/19.40  (assume a2440 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2))))))
% 19.21/19.40  (assume a2441 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2))))))
% 19.21/19.40  (assume a2442 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a2443 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a2444 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)))))))
% 19.21/19.40  (assume a2445 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) A)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2446 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) A)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2447 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) A)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2448 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) A)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2449 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))
% 19.21/19.40  (assume a2450 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))
% 19.21/19.40  (assume a2451 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)))))))
% 19.21/19.40  (assume a2452 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)))))))
% 19.21/19.40  (assume a2453 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2454 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2455 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2456 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2457 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2458 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2459 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2460 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2461 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)))))))
% 19.21/19.40  (assume a2462 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)))))))
% 19.21/19.40  (assume a2463 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.zero_zero_int)) (or (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)))))))
% 19.21/19.40  (assume a2464 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A)) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2465 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A)) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2466 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A)) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2467 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))
% 19.21/19.40  (assume a2468 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))
% 19.21/19.40  (assume a2469 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)))))))
% 19.21/19.40  (assume a2470 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2471 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2472 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2473 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real)))
% 19.21/19.40  (assume a2474 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 19.21/19.40  (assume a2475 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.21/19.40  (assume a2476 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int)))
% 19.21/19.40  (assume a2477 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.one_one_real)))
% 19.21/19.40  (assume a2478 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) tptp.one_one_rat)))
% 19.21/19.40  (assume a2479 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.21/19.40  (assume a2480 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.one_one_int)))
% 19.21/19.40  (assume a2481 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) tptp.zero_zero_real))))
% 19.21/19.40  (assume a2482 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) tptp.zero_zero_rat))))
% 19.21/19.40  (assume a2483 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 19.21/19.40  (assume a2484 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) tptp.zero_zero_int))))
% 19.21/19.40  (assume a2485 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2486 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2487 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) tptp.zero_zero_nat))))))
% 19.21/19.40  (assume a2488 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2489 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)))))))
% 19.21/19.40  (assume a2490 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)))))))
% 19.21/19.40  (assume a2491 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)))))))
% 19.21/19.40  (assume a2492 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)))))))
% 19.21/19.40  (assume a2493 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (not (forall ((C3 tptp.nat)) (=> (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C3)) (= C3 tptp.zero_zero_nat)))))))
% 19.21/19.40  (assume a2494 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 19.21/19.40  (assume a2495 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 19.21/19.40  (assume a2496 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 19.21/19.40  (assume a2497 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 19.21/19.40  (assume a2498 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2499 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) tptp.zero_zero_rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2500 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y)) tptp.zero_zero_int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) tptp.zero_zero_int))))))
% 19.21/19.40  (assume a2501 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) tptp.zero_zero_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)))))))
% 19.21/19.40  (assume a2502 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) tptp.zero_zero_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)))))))
% 19.21/19.40  (assume a2503 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))))))
% 19.21/19.40  (assume a2504 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))))))
% 19.21/19.40  (assume a2505 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a2506 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a2507 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.21/19.40  (assume a2508 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.21/19.40  (assume a2509 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2510 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2511 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2512 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2513 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.21/19.40  (assume a2514 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.21/19.40  (assume a2515 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)))))))
% 19.21/19.40  (assume a2516 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)))))))
% 19.21/19.40  (assume a2517 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) tptp.zero_zero_real)))))
% 19.21/19.40  (assume a2518 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) tptp.zero_zero_rat)))))
% 19.21/19.40  (assume a2519 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) tptp.zero_zero_int)))))
% 19.21/19.40  (assume a2520 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))))))
% 19.21/19.40  (assume a2521 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))))))
% 19.21/19.40  (assume a2522 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))))))
% 19.21/19.40  (assume a2523 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))))))
% 19.21/19.40  (assume a2524 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)))))))
% 19.21/19.40  (assume a2525 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)))))))
% 19.21/19.40  (assume a2526 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))) (not (= C tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2527 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))) (not (= C tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2528 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) tptp.zero_zero_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)))))))
% 19.21/19.40  (assume a2529 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) tptp.zero_zero_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)))))))
% 19.21/19.40  (assume a2530 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.21/19.40  (assume a2531 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.21/19.40  (assume a2532 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2533 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2534 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2535 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2536 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.21/19.40  (assume a2537 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.21/19.40  (assume a2538 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 19.21/19.40  (assume a2539 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 19.21/19.40  (assume a2540 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 19.21/19.40  (assume a2541 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 19.21/19.40  (assume a2542 (forall ((A tptp.real) (B2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)))))))
% 19.21/19.40  (assume a2543 (forall ((A tptp.rat) (B2 tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N)))))))
% 19.21/19.40  (assume a2544 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)))))))
% 19.21/19.40  (assume a2545 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N)))))))
% 19.21/19.40  (assume a2546 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 19.21/19.40  (assume a2547 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 19.21/19.40  (assume a2548 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))
% 19.21/19.40  (assume a2549 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 19.21/19.40  (assume a2550 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex) (W tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W) Z)) (= (tptp.aa_complex_complex (tptp.times_times_complex X) Z) (tptp.aa_complex_complex (tptp.times_times_complex W) Y)))))))
% 19.21/19.40  (assume a2551 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y)))))))
% 19.21/19.40  (assume a2552 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat) (W tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat W) Z)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y)))))))
% 19.21/19.40  (assume a2553 (forall ((B2 tptp.complex) (C tptp.complex) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C) A) (and (=> (not (= C tptp.zero_zero_complex)) (= B2 (tptp.aa_complex_complex (tptp.times_times_complex A) C))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.21/19.40  (assume a2554 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C) A) (and (=> (not (= C tptp.zero_zero_real)) (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2555 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C) A) (and (=> (not (= C tptp.zero_zero_rat)) (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C))) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2556 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) B2)) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.21/19.40  (assume a2557 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) B2)) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.21/19.40  (assume a2558 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C) B2)) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.21/19.40  (assume a2559 (forall ((C tptp.complex) (B2 tptp.complex) (A tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (=> (= B2 (tptp.aa_complex_complex (tptp.times_times_complex A) C)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C) A)))))
% 19.21/19.40  (assume a2560 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (not (= C tptp.zero_zero_real)) (=> (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C) A)))))
% 19.21/19.40  (assume a2561 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (=> (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C) A)))))
% 19.21/19.40  (assume a2562 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) B2) (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C))))))
% 19.21/19.40  (assume a2563 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) B2) (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))))))
% 19.21/19.40  (assume a2564 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C) B2) (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))))))
% 19.21/19.40  (assume a2565 (forall ((C tptp.complex) (B2 tptp.complex) (A tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C) A) (= B2 (tptp.aa_complex_complex (tptp.times_times_complex A) C))))))
% 19.21/19.40  (assume a2566 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C) A) (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))))))
% 19.21/19.40  (assume a2567 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C) A) (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C))))))
% 19.21/19.40  (assume a2568 (forall ((C tptp.complex) (A tptp.complex) (B2 tptp.complex)) (=> (not (= C tptp.zero_zero_complex)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) B2)))))
% 19.21/19.40  (assume a2569 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (not (= C tptp.zero_zero_real)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) B2)))))
% 19.21/19.40  (assume a2570 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (not (= C tptp.zero_zero_rat)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C) B2)))))
% 19.21/19.40  (assume a2571 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) tptp.one_one_complex) (= A B2)))))
% 19.22/19.40  (assume a2572 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) tptp.one_one_real) (= A B2)))))
% 19.22/19.40  (assume a2573 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) tptp.one_one_rat) (= A B2)))))
% 19.22/19.40  (assume a2574 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a2575 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) A)))))
% 19.22/19.40  (assume a2576 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) tptp.one_one_int)) A)))))
% 19.22/19.40  (assume a2577 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.modulo364778990260209775nteger A B2)) A)))))
% 19.22/19.40  (assume a2578 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) A)))))
% 19.22/19.40  (assume a2579 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) A)))))
% 19.22/19.40  (assume a2580 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) B2)))))
% 19.22/19.40  (assume a2581 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) B2)))))
% 19.22/19.40  (assume a2582 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A B2)) B2)))))
% 19.22/19.40  (assume a2583 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) tptp.zero_zero_nat) tptp.one_one_rat)))
% 19.22/19.40  (assume a2584 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.22/19.40  (assume a2585 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 19.22/19.40  (assume a2586 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 19.22/19.40  (assume a2587 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 19.22/19.40  (assume a2588 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2) A) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2) tptp.zero_zero_nat))))
% 19.22/19.40  (assume a2589 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) A) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2) tptp.zero_zero_int))))
% 19.22/19.40  (assume a2590 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.modulo364778990260209775nteger A B2) A) (= (tptp.divide6298287555418463151nteger A B2) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.40  (assume a2591 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat tptp.suc N))) (or (= M tptp.zero_zero_nat) (exists ((J3 tptp.nat)) (and (= M (tptp.aa_nat_nat tptp.suc J3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J3) N))))))))
% 19.22/19.40  (assume a2592 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M4 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M4))))))
% 19.22/19.40  (assume a2593 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I2)))) (and (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I2)))))))))
% 19.22/19.40  (assume a2594 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((M7 tptp.nat)) (= N (tptp.aa_nat_nat tptp.suc M7))))))
% 19.22/19.40  (assume a2595 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool P I2)))) (or (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) N)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc I2)))))))))
% 19.22/19.40  (assume a2596 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (or (and (= M (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N tptp.zero_zero_nat)) (and (= M tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 19.22/19.40  (assume a2597 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (or (and (= M (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N tptp.zero_zero_nat)) (and (= M tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 19.22/19.40  (assume a2598 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) K2)) (not (tptp.pp (tptp.aa_nat_bool P I4))))) (tptp.pp (tptp.aa_nat_bool P K2))))))))
% 19.22/19.40  (assume a2599 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K2) J))))))
% 19.22/19.40  (assume a2600 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) M))))))
% 19.22/19.40  (assume a2601 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.22/19.40  (assume a2602 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)) (= M N)))))
% 19.22/19.40  (assume a2603 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) J)))))))
% 19.22/19.40  (assume a2604 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat I) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat J) K)))))))
% 19.22/19.40  (assume a2605 (= tptp.one_one_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 19.22/19.40  (assume a2606 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) tptp.zero_zero_nat) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= N tptp.zero_zero_nat)))))
% 19.22/19.40  (assume a2607 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) tptp.zero_zero_nat)))
% 19.22/19.40  (assume a2608 (forall ((I tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) I)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))))))
% 19.22/19.40  (assume a2609 (forall ((M tptp.nat) (N tptp.nat)) (=> (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (or (= N tptp.one_one_nat) (= M tptp.zero_zero_nat)))))
% 19.22/19.40  (assume a2610 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) N) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N) tptp.zero_zero_nat)) (=> (not (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc M)) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))))))
% 19.22/19.40  (assume a2611 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) N)))))
% 19.22/19.40  (assume a2612 (forall ((A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat)))))
% 19.22/19.40  (assume a2613 (forall ((A tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)))))
% 19.22/19.40  (assume a2614 (forall ((A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))
% 19.22/19.40  (assume a2615 (forall ((A tptp.nat)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))) (not (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat)))))))
% 19.22/19.40  (assume a2616 (forall ((A tptp.int)) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))) (not (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int)))))))
% 19.22/19.40  (assume a2617 (forall ((A tptp.code_integer)) (=> (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger))) (not (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer)))))))
% 19.22/19.40  (assume a2618 (forall ((X tptp.num)) (= (tptp.aa_num_num (tptp.pow X) tptp.one) X)))
% 19.22/19.40  (assume a2619 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))
% 19.22/19.40  (assume a2620 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))
% 19.22/19.40  (assume a2621 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))))
% 19.22/19.40  (assume a2622 (forall ((N tptp.nat) (A tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A))))))
% 19.22/19.40  (assume a2623 (forall ((N tptp.nat) (A tptp.rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A))))))
% 19.22/19.40  (assume a2624 (forall ((N tptp.nat) (A tptp.int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 19.22/19.40  (assume a2625 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 19.22/19.40  (assume a2626 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 19.22/19.40  (assume a2627 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 19.22/19.40  (assume a2628 (forall ((M tptp.nat) (D tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) D) tptp.zero_zero_nat) (exists ((Q3 tptp.nat)) (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat D) Q3))))))
% 19.22/19.40  (assume a2629 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Y))) (= X Y)))))
% 19.22/19.40  (assume a2630 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.40  (assume a2631 (forall ((N tptp.num)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.40  (assume a2632 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.40  (assume a2633 (forall ((N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))))))))
% 19.22/19.40  (assume a2634 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (= (tptp.divide6298287555418463151nteger A B2) C) (= A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) B2))))))
% 19.22/19.40  (assume a2635 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2) C) (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2))))))
% 19.22/19.40  (assume a2636 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2) C) (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))))))
% 19.22/19.40  (assume a2637 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (= A (tptp.divide6298287555418463151nteger C B2)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C)))))
% 19.22/19.40  (assume a2638 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat C) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2) C)))))
% 19.22/19.40  (assume a2639 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int C) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) C)))))
% 19.22/19.40  (assume a2640 (forall ((C tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C)) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A B2) C))))))
% 19.22/19.40  (assume a2641 (forall ((C tptp.nat) (B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C))))))
% 19.22/19.40  (assume a2642 (forall ((C tptp.int) (B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C))))))
% 19.22/19.40  (assume a2643 (forall ((B2 tptp.code_integer) (A tptp.code_integer) (C tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.divide6298287555418463151nteger A B2)) C) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) C) B2)))))
% 19.22/19.40  (assume a2644 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) B2)))))
% 19.22/19.40  (assume a2645 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) B2)))))
% 19.22/19.40  (assume a2646 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.divide6298287555418463151nteger B2 C)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2) C)))))
% 19.22/19.40  (assume a2647 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) C)))))
% 19.22/19.40  (assume a2648 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) C)))))
% 19.22/19.40  (assume a2649 (forall ((B2 tptp.code_integer) (C tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) tptp.one_one_Code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer C) tptp.one_one_Code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C)) (tptp.divide6298287555418463151nteger (tptp.divide6298287555418463151nteger A B2) C))))))
% 19.22/19.40  (assume a2650 (forall ((B2 tptp.nat) (C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C) tptp.one_one_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C))))))
% 19.22/19.40  (assume a2651 (forall ((B2 tptp.int) (C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C) tptp.one_one_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C))))))
% 19.22/19.40  (assume a2652 (forall ((N tptp.nat) (M tptp.nat) (Q2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) Q2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))))
% 19.22/19.40  (assume a2653 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)))))))))
% 19.22/19.40  (assume a2654 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)))))))))
% 19.22/19.40  (assume a2655 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))))
% 19.22/19.40  (assume a2656 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.22/19.40  (assume a2657 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)))))))))
% 19.22/19.40  (assume a2658 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)))))))))
% 19.22/19.40  (assume a2659 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))))
% 19.22/19.40  (assume a2660 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.22/19.40  (assume a2661 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.22/19.40  (assume a2662 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.22/19.40  (assume a2663 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))))))
% 19.22/19.40  (assume a2664 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.40  (assume a2665 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.22/19.40  (assume a2666 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.22/19.40  (assume a2667 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))))))
% 19.22/19.40  (assume a2668 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.40  (assume a2669 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.22/19.40  (assume a2670 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.22/19.40  (assume a2671 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.40  (assume a2672 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A))))))
% 19.22/19.40  (assume a2673 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))))))
% 19.22/19.40  (assume a2674 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A))))))
% 19.22/19.40  (assume a2675 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))))
% 19.22/19.40  (assume a2676 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))))
% 19.22/19.40  (assume a2677 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)))))))
% 19.22/19.40  (assume a2678 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)))))))))
% 19.22/19.40  (assume a2679 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)))))))))
% 19.22/19.40  (assume a2680 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))))
% 19.22/19.40  (assume a2681 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.22/19.40  (assume a2682 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.40  (assume a2683 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.22/19.40  (assume a2684 (forall ((A tptp.nat) (C tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))))))
% 19.22/19.40  (assume a2685 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.22/19.40  (assume a2686 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))))
% 19.22/19.40  (assume a2687 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))))
% 19.22/19.40  (assume a2688 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)))))))
% 19.22/19.40  (assume a2689 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) D)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)))))))))
% 19.22/19.40  (assume a2690 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) D)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)))))))))
% 19.22/19.40  (assume a2691 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)))))))))
% 19.22/19.40  (assume a2692 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.22/19.40  (assume a2693 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.40  (assume a2694 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.22/19.40  (assume a2695 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))))))
% 19.22/19.40  (assume a2696 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.22/19.40  (assume a2697 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))))
% 19.22/19.40  (assume a2698 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))))
% 19.22/19.40  (assume a2699 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)))))))
% 19.22/19.40  (assume a2700 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))))
% 19.22/19.40  (assume a2701 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))))
% 19.22/19.40  (assume a2702 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)))))))
% 19.22/19.40  (assume a2703 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 19.22/19.40  (assume a2704 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 19.22/19.40  (assume a2705 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 19.22/19.40  (assume a2706 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 19.22/19.40  (assume a2707 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)))))))
% 19.22/19.40  (assume a2708 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) C)))))))
% 19.22/19.40  (assume a2709 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) C)))))))
% 19.22/19.40  (assume a2710 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) C)))))))
% 19.22/19.40  (assume a2711 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)))))))
% 19.22/19.40  (assume a2712 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)))))))
% 19.22/19.40  (assume a2713 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)))))))
% 19.22/19.40  (assume a2714 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)))))))
% 19.22/19.40  (assume a2715 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) tptp.zero_zero_real))))))
% 19.22/19.40  (assume a2716 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a2717 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) tptp.zero_zero_nat))))))
% 19.22/19.40  (assume a2718 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) tptp.zero_zero_int))))))
% 19.22/19.40  (assume a2719 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)))))))
% 19.22/19.40  (assume a2720 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)))))))
% 19.22/19.40  (assume a2721 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)))))))
% 19.22/19.40  (assume a2722 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)))))))
% 19.22/19.40  (assume a2723 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) tptp.zero_zero_real))))))
% 19.22/19.40  (assume a2724 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a2725 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) tptp.zero_zero_nat))))))
% 19.22/19.40  (assume a2726 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) tptp.zero_zero_int))))))
% 19.22/19.40  (assume a2727 (forall ((X tptp.real) (Y tptp.real)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) E2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.40  (assume a2728 (forall ((X tptp.rat) (Y tptp.rat)) (=> (forall ((E2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Y) E2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)))))
% 19.22/19.40  (assume a2729 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)))))))
% 19.22/19.40  (assume a2730 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))))))
% 19.22/19.40  (assume a2731 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2) tptp.zero_zero_nat)))))
% 19.22/19.40  (assume a2732 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a2733 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 19.22/19.40  (assume a2734 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a2735 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.22/19.40  (assume a2736 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.22/19.40  (assume a2737 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.22/19.40  (assume a2738 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.22/19.40  (assume a2739 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) tptp.zero_zero_real))))))
% 19.22/19.40  (assume a2740 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a2741 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))))
% 19.22/19.40  (assume a2742 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) C)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))))
% 19.22/19.40  (assume a2743 (forall ((X tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W)))))))))
% 19.22/19.40  (assume a2744 (forall ((X tptp.rat) (Y tptp.rat) (W tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) W)))))))))
% 19.22/19.40  (assume a2745 (forall ((X tptp.real) (Y tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W)))))))))
% 19.22/19.40  (assume a2746 (forall ((X tptp.rat) (Y tptp.rat) (W tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat W) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) W)))))))))
% 19.22/19.40  (assume a2747 (forall ((Y tptp.real) (X tptp.real) (W tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) W)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) W)))))))))
% 19.22/19.40  (assume a2748 (forall ((Y tptp.rat) (X tptp.rat) (W tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) W)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat W) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) W)))))))))
% 19.22/19.40  (assume a2749 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X)) X)))))))
% 19.22/19.40  (assume a2750 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) X)) X)))))))
% 19.22/19.40  (assume a2751 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X)) X)))))))
% 19.22/19.40  (assume a2752 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) X)))))))
% 19.22/19.40  (assume a2753 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y)) X)))))))
% 19.22/19.40  (assume a2754 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y)) X)))))))
% 19.22/19.40  (assume a2755 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.one_one_real)))))))
% 19.22/19.40  (assume a2756 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.one_one_rat)))))))
% 19.22/19.40  (assume a2757 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) tptp.one_one_nat)))))))
% 19.22/19.40  (assume a2758 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) tptp.one_one_int)))))))
% 19.22/19.40  (assume a2759 (forall ((C tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) A))))))
% 19.22/19.40  (assume a2760 (forall ((C tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.one_one_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) A))))))
% 19.22/19.40  (assume a2761 (forall ((C tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) tptp.one_one_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) A))))))
% 19.22/19.40  (assume a2762 (forall ((C tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.one_one_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) A))))))
% 19.22/19.40  (assume a2763 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))) tptp.zero_zero_real)) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 19.22/19.40  (assume a2764 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y))) tptp.zero_zero_rat)) (and (= X tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a2765 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 19.22/19.40  (assume a2766 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))))))
% 19.22/19.40  (assume a2767 (forall ((X tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y))))))
% 19.22/19.40  (assume a2768 (forall ((X tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))))))
% 19.22/19.40  (assume a2769 (forall ((A tptp.real) (N tptp.nat) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.40  (assume a2770 (forall ((A tptp.rat) (N tptp.nat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.22/19.40  (assume a2771 (forall ((A tptp.nat) (N tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))))))
% 19.22/19.40  (assume a2772 (forall ((A tptp.int) (N tptp.nat) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.22/19.40  (assume a2773 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)))) (or (not (= X tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 19.22/19.40  (assume a2774 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y)))) (or (not (= X tptp.zero_zero_rat)) (not (= Y tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a2775 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y)))) (or (not (= X tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 19.22/19.40  (assume a2776 (forall ((X tptp.real) (Y tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y))) tptp.zero_zero_real)))))
% 19.22/19.40  (assume a2777 (forall ((X tptp.rat) (Y tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Y))) tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a2778 (forall ((X tptp.int) (Y tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Y))) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a2779 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C)))))
% 19.22/19.40  (assume a2780 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C)))))
% 19.22/19.40  (assume a2781 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) tptp.one_one_real))))
% 19.22/19.40  (assume a2782 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) tptp.one_one_rat))))
% 19.22/19.40  (assume a2783 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat))))
% 19.22/19.40  (assume a2784 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) tptp.one_one_int))))
% 19.22/19.40  (assume a2785 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) B2))))))))
% 19.22/19.40  (assume a2786 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat C) A)) (tptp.aa_rat_rat (tptp.divide_divide_rat C) B2))))))))
% 19.22/19.40  (assume a2787 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) B2))))))))
% 19.22/19.40  (assume a2788 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat C) A)) (tptp.aa_rat_rat (tptp.divide_divide_rat C) B2))))))))
% 19.22/19.40  (assume a2789 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.22/19.40  (assume a2790 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.22/19.40  (assume a2791 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) Z))))))
% 19.22/19.40  (assume a2792 (forall ((Y tptp.rat) (X tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) Z))))))
% 19.22/19.40  (assume a2793 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))))))
% 19.22/19.40  (assume a2794 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))))))
% 19.22/19.40  (assume a2795 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.40  (assume a2796 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.40  (assume a2797 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.40  (assume a2798 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.40  (assume a2799 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))))))
% 19.22/19.40  (assume a2800 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))))))
% 19.22/19.40  (assume a2801 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))))))
% 19.22/19.40  (assume a2802 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))))))
% 19.22/19.40  (assume a2803 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))))
% 19.22/19.40  (assume a2804 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))))))
% 19.22/19.40  (assume a2805 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))))
% 19.22/19.40  (assume a2806 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))))
% 19.22/19.40  (assume a2807 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A)) tptp.one_one_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (= A tptp.zero_zero_real)))))
% 19.22/19.40  (assume a2808 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A)) tptp.one_one_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (= A tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a2809 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) tptp.one_one_real))))))
% 19.22/19.40  (assume a2810 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) tptp.one_one_rat))))))
% 19.22/19.40  (assume a2811 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) tptp.one_one_nat))))))
% 19.22/19.40  (assume a2812 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) tptp.one_one_int))))))
% 19.22/19.40  (assume a2813 (forall ((B2 tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C) (tptp.numera6690914467698888265omplex W)) (and (=> (not (= C tptp.zero_zero_complex)) (= B2 (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 19.22/19.40  (assume a2814 (forall ((B2 tptp.real) (C tptp.real) (W tptp.num)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C) (tptp.aa_num_real tptp.numeral_numeral_real W)) (and (=> (not (= C tptp.zero_zero_real)) (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 19.22/19.40  (assume a2815 (forall ((B2 tptp.rat) (C tptp.rat) (W tptp.num)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C) (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (and (=> (not (= C tptp.zero_zero_rat)) (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C))) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a2816 (forall ((W tptp.num) (B2 tptp.complex) (C tptp.complex)) (= (= (tptp.numera6690914467698888265omplex W) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) C) B2)) (=> (= C tptp.zero_zero_complex) (= (tptp.numera6690914467698888265omplex W) tptp.zero_zero_complex))))))
% 19.22/19.40  (assume a2817 (forall ((W tptp.num) (B2 tptp.real) (C tptp.real)) (= (= (tptp.aa_num_real tptp.numeral_numeral_real W) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C) B2)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_num_real tptp.numeral_numeral_real W) tptp.zero_zero_real))))))
% 19.22/19.40  (assume a2818 (forall ((W tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C) B2)) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_num_rat tptp.numeral_numeral_rat W) tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a2819 (forall ((Z tptp.complex) (A tptp.complex) (B2 tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B2) B2)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B2) Z))) Z))))))
% 19.22/19.40  (assume a2820 (forall ((Z tptp.real) (A tptp.real) (B2 tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z)) B2) B2)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z)) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) Z))) Z))))))
% 19.22/19.40  (assume a2821 (forall ((Z tptp.rat) (A tptp.rat) (B2 tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z)) B2) B2)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z)) B2) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) Z))) Z))))))
% 19.22/19.40  (assume a2822 (forall ((Z tptp.complex) (A tptp.complex) (B2 tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) Z)) A)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) Z)) B2)) Z))))))
% 19.22/19.40  (assume a2823 (forall ((Z tptp.real) (A tptp.real) (B2 tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) Z)) A)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) Z)) B2)) Z))))))
% 19.22/19.40  (assume a2824 (forall ((Z tptp.rat) (A tptp.rat) (B2 tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) Z)) A)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) Z)) B2)) Z))))))
% 19.22/19.40  (assume a2825 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex) (W tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) (tptp.aa_complex_complex (tptp.times_times_complex W) Y))) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))))
% 19.22/19.40  (assume a2826 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))))
% 19.22/19.40  (assume a2827 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat) (W tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z)))))))
% 19.22/19.40  (assume a2828 (forall ((Y tptp.complex) (X tptp.complex) (Z tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 19.22/19.40  (assume a2829 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) Y)))))
% 19.22/19.40  (assume a2830 (forall ((Y tptp.rat) (X tptp.rat) (Z tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) Z) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) Y)))))
% 19.22/19.40  (assume a2831 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Z) Y))) Y)))))
% 19.22/19.40  (assume a2832 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) Y)))))
% 19.22/19.40  (assume a2833 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) Y)))))
% 19.22/19.40  (assume a2834 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Y) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) Y)) Z)))))
% 19.22/19.40  (assume a2835 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) Y)) Z)))))
% 19.22/19.40  (assume a2836 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) Y)) Z)))))
% 19.22/19.40  (assume a2837 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z)) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 19.22/19.40  (assume a2838 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 19.22/19.40  (assume a2839 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Z)) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) Z)))))
% 19.22/19.40  (assume a2840 (forall ((A tptp.real) (N tptp.nat) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.22/19.40  (assume a2841 (forall ((A tptp.rat) (N tptp.nat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat (tptp.power_power_rat B2) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.22/19.40  (assume a2842 (forall ((A tptp.nat) (N tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))))))
% 19.22/19.40  (assume a2843 (forall ((A tptp.int) (N tptp.nat) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int (tptp.power_power_int B2) (tptp.aa_nat_nat tptp.suc N)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.40  (assume a2844 (forall ((A tptp.real) (N tptp.nat) (B2 tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (= A B2))))))
% 19.22/19.40  (assume a2845 (forall ((A tptp.rat) (N tptp.nat) (B2 tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (= A B2))))))
% 19.22/19.40  (assume a2846 (forall ((A tptp.nat) (N tptp.nat) (B2 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) B2)) (= A B2))))))
% 19.22/19.40  (assume a2847 (forall ((A tptp.int) (N tptp.nat) (B2 tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_int (tptp.power_power_int B2) (tptp.aa_nat_nat tptp.suc N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (= A B2))))))
% 19.22/19.40  (assume a2848 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) tptp.one_one_nat)))))
% 19.22/19.40  (assume a2849 (forall ((B2 tptp.int) (A tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.one_one_int)))))
% 19.22/19.40  (assume a2850 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) tptp.one_one_nat)))))
% 19.22/19.40  (assume a2851 (forall ((B2 tptp.int) (A tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.one_one_int)))))
% 19.22/19.40  (assume a2852 (forall ((Z tptp.complex) (A tptp.complex) (B2 tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) Z)) A)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex A) Z)) B2)) Z))))))
% 19.22/19.40  (assume a2853 (forall ((Z tptp.real) (A tptp.real) (B2 tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) Z)) A)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) Z)) B2)) Z))))))
% 19.22/19.40  (assume a2854 (forall ((Z tptp.rat) (A tptp.rat) (B2 tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) Z)) A)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) Z)) B2)) Z))))))
% 19.22/19.40  (assume a2855 (forall ((Y tptp.complex) (Z tptp.complex) (X tptp.complex) (W tptp.complex)) (=> (not (= Y tptp.zero_zero_complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex W) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) (tptp.aa_complex_complex (tptp.times_times_complex W) Y))) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z)))))))
% 19.22/19.40  (assume a2856 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z)))))))
% 19.22/19.40  (assume a2857 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat) (W tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z)))))))
% 19.22/19.40  (assume a2858 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Y) Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Z)) Y)) Z)))))
% 19.22/19.40  (assume a2859 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Y) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) Y)) Z)))))
% 19.22/19.40  (assume a2860 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat Y) Z)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) Y)) Z)))))
% 19.22/19.40  (assume a2861 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z)) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 19.22/19.40  (assume a2862 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 19.22/19.40  (assume a2863 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Z)) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) Z)))))
% 19.22/19.40  (assume a2864 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.modulo364778990260209775nteger A B2))))))
% 19.22/19.40  (assume a2865 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))))
% 19.22/19.40  (assume a2866 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))))
% 19.22/19.40  (assume a2867 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B2)) (= (tptp.modulo364778990260209775nteger A B2) A)))))
% 19.22/19.40  (assume a2868 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2) A)))))
% 19.22/19.40  (assume a2869 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) A)))))
% 19.22/19.40  (assume a2870 (forall ((N tptp.num) (Q2 tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) tptp.zero_zero_nat))))
% 19.22/19.40  (assume a2871 (forall ((N tptp.num) (Q2 tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q2)) tptp.zero_zero_int))))
% 19.22/19.40  (assume a2872 (forall ((N tptp.num) (Q2 tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) tptp.zero_z3403309356797280102nteger) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger Q2)) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.40  (assume a2873 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) tptp.zero_zero_nat)))
% 19.22/19.40  (assume a2874 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) tptp.zero_zero_int)))
% 19.22/19.40  (assume a2875 (forall ((N tptp.num)) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger tptp.one)) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.40  (assume a2876 (= (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 19.22/19.40  (assume a2877 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((K2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) N)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I4) K2)) (not (tptp.pp (tptp.aa_nat_bool P I4))))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc K2)))))))))
% 19.22/19.40  (assume a2878 (forall ((N tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc I))) N)))))
% 19.22/19.40  (assume a2879 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) M)))))))
% 19.22/19.40  (assume a2880 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)))))))
% 19.22/19.40  (assume a2881 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)))))))
% 19.22/19.40  (assume a2882 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real R3) (tptp.aa_nat_nat tptp.suc N)) A))))))
% 19.22/19.40  (assume a2883 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 19.22/19.40  (assume a2884 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.22/19.40  (assume a2885 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))))))
% 19.22/19.40  (assume a2886 (forall ((M tptp.nat) (N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat K) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat K) M)))))))
% 19.22/19.40  (assume a2887 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) K))))))
% 19.22/19.40  (assume a2888 (forall ((P tptp.fun_nat_bool) (A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (forall ((D3 tptp.nat)) (=> (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) D3)) (tptp.pp (tptp.aa_nat_bool P D3))))))))
% 19.22/19.40  (assume a2889 (forall ((P tptp.fun_nat_bool) (A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2))) (not (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))) (exists ((D3 tptp.nat)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) D3)) (not (tptp.pp (tptp.aa_nat_bool P D3))))))))))
% 19.22/19.40  (assume a2890 (forall ((I tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) N))))))
% 19.22/19.40  (assume a2891 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N3)) Y)))))))
% 19.22/19.40  (assume a2892 (forall ((Q2 tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) Q2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) Q2)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2)))))))
% 19.22/19.40  (assume a2893 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)))))
% 19.22/19.40  (assume a2894 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) M) (= N tptp.one_one_nat)))))
% 19.22/19.40  (assume a2895 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) M))))))
% 19.22/19.40  (assume a2896 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) N)))))
% 19.22/19.40  (assume a2897 (forall ((A3 tptp.nat) (B3 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A3) B3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A3) N) tptp.zero_zero_nat) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B3) N) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A3) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B3) N)))))))))
% 19.22/19.40  (assume a2898 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B4 tptp.code_integer)) (not (= A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B4))))))))
% 19.22/19.40  (assume a2899 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B4 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B4))))))))
% 19.22/19.40  (assume a2900 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (not (forall ((B4 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B4))))))))
% 19.22/19.40  (assume a2901 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 19.22/19.40  (assume a2902 (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 19.22/19.40  (assume a2903 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 19.22/19.40  (assume a2904 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.plus_p5714425477246183910nteger A B2)))))))
% 19.22/19.40  (assume a2905 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)))))))
% 19.22/19.40  (assume a2906 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)))))))
% 19.22/19.40  (assume a2907 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= A B2) (and (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger B2 (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a2908 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= A B2) (and (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a2909 (forall ((A tptp.int) (B2 tptp.int)) (= (= A B2) (and (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a2910 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger (tptp.minus_8373710615458151222nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M) tptp.one_one_Code_integer) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)))) (or (= (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.22/19.40  (assume a2911 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.22/19.40  (assume a2912 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) tptp.one_one_int)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.22/19.40  (assume a2913 (forall ((Q2 tptp.nat) (N tptp.nat) (R2 tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Q2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) M))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) Q2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) M)) Q2)))))))))
% 19.22/19.40  (assume a2914 (forall ((I tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat I) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.22/19.40  (assume a2915 (forall ((R2 tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat R2) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R2) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) R2))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N) R2))))))
% 19.22/19.40  (assume a2916 (forall ((A tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)))))))
% 19.22/19.40  (assume a2917 (forall ((A tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)))))))
% 19.22/19.40  (assume a2918 (forall ((A tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)))))))
% 19.22/19.40  (assume a2919 (forall ((C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.one_one_real)))))))
% 19.22/19.40  (assume a2920 (forall ((C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.one_one_rat)))))))
% 19.22/19.40  (assume a2921 (forall ((C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.one_one_int)))))))
% 19.22/19.40  (assume a2922 (forall ((C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)))))))
% 19.22/19.40  (assume a2923 (forall ((C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)))))))
% 19.22/19.40  (assume a2924 (forall ((C tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)))))))
% 19.22/19.40  (assume a2925 (forall ((C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.one_one_real)))))))
% 19.22/19.40  (assume a2926 (forall ((C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.one_one_rat)))))))
% 19.22/19.40  (assume a2927 (forall ((C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.one_one_int)))))))
% 19.22/19.40  (assume a2928 (forall ((A tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)))))))
% 19.22/19.40  (assume a2929 (forall ((A tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)))))))
% 19.22/19.40  (assume a2930 (forall ((A tptp.int) (C tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)))))))
% 19.22/19.40  (assume a2931 (forall ((C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.one_one_real)))))))
% 19.22/19.40  (assume a2932 (forall ((C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.one_one_rat)))))))
% 19.22/19.40  (assume a2933 (forall ((C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.one_one_int)))))))
% 19.22/19.40  (assume a2934 (forall ((C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) A)) C)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)))))))
% 19.22/19.40  (assume a2935 (forall ((C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) A)) C)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)))))))
% 19.22/19.40  (assume a2936 (forall ((C tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) C)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)))))))
% 19.22/19.40  (assume a2937 (forall ((C tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.one_one_real)))))))
% 19.22/19.40  (assume a2938 (forall ((C tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.one_one_rat)))))))
% 19.22/19.40  (assume a2939 (forall ((C tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.one_one_int)))))))
% 19.22/19.40  (assume a2940 (forall ((X tptp.real) (Y tptp.real)) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z2) X)) Y))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.40  (assume a2941 (forall ((X tptp.rat) (Y tptp.rat)) (=> (forall ((Z2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Z2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z2) X)) Y))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)))))
% 19.22/19.40  (assume a2942 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) B2))))))))
% 19.22/19.40  (assume a2943 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat C) A)) (tptp.aa_rat_rat (tptp.divide_divide_rat C) B2))))))))
% 19.22/19.40  (assume a2944 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)))))))
% 19.22/19.40  (assume a2945 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)))))))
% 19.22/19.40  (assume a2946 (forall ((Y tptp.real) (X tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) Z))))))
% 19.22/19.40  (assume a2947 (forall ((Y tptp.rat) (X tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) Z))))))
% 19.22/19.40  (assume a2948 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))))))
% 19.22/19.40  (assume a2949 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))))))
% 19.22/19.40  (assume a2950 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.40  (assume a2951 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.40  (assume a2952 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.40  (assume a2953 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.40  (assume a2954 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))))))
% 19.22/19.40  (assume a2955 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))))))
% 19.22/19.40  (assume a2956 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real C) B2))))))))
% 19.22/19.40  (assume a2957 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat C) A)) (tptp.aa_rat_rat (tptp.divide_divide_rat C) B2))))))))
% 19.22/19.40  (assume a2958 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))))))
% 19.22/19.40  (assume a2959 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))))))
% 19.22/19.40  (assume a2960 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))))
% 19.22/19.40  (assume a2961 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))))
% 19.22/19.40  (assume a2962 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A))) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))))
% 19.22/19.40  (assume a2963 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A))) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))))
% 19.22/19.40  (assume a2964 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A)) tptp.one_one_real)) (or (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (= A tptp.zero_zero_real)))))
% 19.22/19.40  (assume a2965 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A)) tptp.one_one_rat)) (or (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (= A tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a2966 (forall ((X tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) U)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) V)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real U) V) tptp.one_one_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real U) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real V) Y))) A)))))))))
% 19.22/19.40  (assume a2967 (forall ((X tptp.rat) (A tptp.rat) (Y tptp.rat) (U tptp.rat) (V tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) U)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) V)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat U) V) tptp.one_one_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat U) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat V) Y))) A)))))))))
% 19.22/19.40  (assume a2968 (forall ((X tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) V)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int U) V) tptp.one_one_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int U) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V) Y))) A)))))))))
% 19.22/19.40  (assume a2969 (forall ((B2 tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real W))))))))))
% 19.22/19.40  (assume a2970 (forall ((B2 tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))))
% 19.22/19.40  (assume a2971 (forall ((W tptp.num) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)))))))))
% 19.22/19.40  (assume a2972 (forall ((W tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)))))))))
% 19.22/19.40  (assume a2973 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) tptp.zero_zero_real)))))))
% 19.22/19.40  (assume a2974 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat) (W tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W) Z))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) tptp.zero_zero_rat)))))))
% 19.22/19.40  (assume a2975 (forall ((Y tptp.real) (Z tptp.real) (X tptp.real) (W tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real W) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) tptp.zero_zero_real)))))))
% 19.22/19.40  (assume a2976 (forall ((Y tptp.rat) (Z tptp.rat) (X tptp.rat) (W tptp.rat)) (=> (not (= Y tptp.zero_zero_rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y)) (tptp.aa_rat_rat (tptp.divide_divide_rat W) Z))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) tptp.zero_zero_rat)))))))
% 19.22/19.40  (assume a2977 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 19.22/19.40  (assume a2978 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 19.22/19.40  (assume a2979 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 19.22/19.40  (assume a2980 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int A) N))) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.22/19.40  (assume a2981 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 19.22/19.40  (assume a2982 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 19.22/19.40  (assume a2983 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 19.22/19.40  (assume a2984 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N))) A))))))
% 19.22/19.40  (assume a2985 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real))))))
% 19.22/19.40  (assume a2986 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_rat))))))
% 19.22/19.40  (assume a2987 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_nat))))))
% 19.22/19.40  (assume a2988 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int))))))
% 19.22/19.40  (assume a2989 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))))
% 19.22/19.40  (assume a2990 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N2)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))))
% 19.22/19.40  (assume a2991 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 19.22/19.40  (assume a2992 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) N2)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 19.22/19.40  (assume a2993 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N2)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))))
% 19.22/19.40  (assume a2994 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N2)) (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))))
% 19.22/19.40  (assume a2995 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.one_one_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N))))))))
% 19.22/19.40  (assume a2996 (forall ((N tptp.nat) (N2 tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N2)) (tptp.aa_nat_int (tptp.power_power_int A) N))))))))
% 19.22/19.40  (assume a2997 (= (tptp.aa_nat_rat (tptp.power_power_rat tptp.zero_zero_rat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_rat))
% 19.22/19.40  (assume a2998 (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat))
% 19.22/19.40  (assume a2999 (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real))
% 19.22/19.40  (assume a3000 (= (tptp.aa_nat_int (tptp.power_power_int tptp.zero_zero_int) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int))
% 19.22/19.40  (assume a3001 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_complex))
% 19.22/19.40  (assume a3002 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 19.22/19.40  (assume a3003 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 19.22/19.40  (assume a3004 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 19.22/19.40  (assume a3005 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.22/19.40  (assume a3006 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 19.22/19.40  (assume a3007 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 19.22/19.40  (assume a3008 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 19.22/19.40  (assume a3009 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.22/19.40  (assume a3010 (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 19.22/19.40  (assume a3011 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.40  (assume a3012 (forall ((A tptp.complex) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.power_power_complex A) M)) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))))
% 19.22/19.40  (assume a3013 (forall ((A tptp.real) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 19.22/19.40  (assume a3014 (forall ((A tptp.rat) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat (tptp.power_power_rat A) M)) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 19.22/19.40  (assume a3015 (forall ((A tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))))
% 19.22/19.40  (assume a3016 (forall ((A tptp.int) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.22/19.40  (assume a3017 (forall ((A tptp.code_integer) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M)) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N) tptp.zero_z3403309356797280102nteger) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))))
% 19.22/19.40  (assume a3018 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))))
% 19.22/19.40  (assume a3019 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))))
% 19.22/19.40  (assume a3020 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) tptp.zero_zero_nat)) (=> (not (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (= N tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))))))
% 19.22/19.40  (assume a3021 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))))))
% 19.22/19.40  (assume a3022 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 19.22/19.40  (assume a3023 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 19.22/19.40  (assume a3024 (forall ((Q2 tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) Q2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) Q2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) Q2)) N))))))
% 19.22/19.40  (assume a3025 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N) N)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)) N)))))))
% 19.22/19.40  (assume a3026 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))))))))
% 19.22/19.40  (assume a3027 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) N)))))))
% 19.22/19.40  (assume a3028 (forall ((P tptp.fun_nat_bool) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))) (and (=> (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (not (= N tptp.zero_zero_nat)) (forall ((I2 tptp.nat) (J3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J3) N)) (=> (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) I2)) J3)) (tptp.pp (tptp.aa_nat_bool P I2))))))))))
% 19.22/19.40  (assume a3029 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N) tptp.zero_zero_nat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)) N)))))))
% 19.22/19.40  (assume a3030 (forall ((P tptp.fun_nat_bool) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N))) (and (=> (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool P M))) (=> (not (= N tptp.zero_zero_nat)) (forall ((I2 tptp.nat) (J3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J3) N)) (=> (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) I2)) J3)) (tptp.pp (tptp.aa_nat_bool P J3))))))))))
% 19.22/19.40  (assume a3031 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 19.22/19.40  (assume a3032 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 19.22/19.40  (assume a3033 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) A))))
% 19.22/19.40  (assume a3034 (forall ((A tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_nat))))
% 19.22/19.40  (assume a3035 (forall ((A tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))))
% 19.22/19.40  (assume a3036 (forall ((A tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))))
% 19.22/19.40  (assume a3037 (forall ((N tptp.nat) (A tptp.real) (B2 tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)))))))
% 19.22/19.40  (assume a3038 (forall ((N tptp.nat) (A tptp.rat) (B2 tptp.rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N)))))))
% 19.22/19.40  (assume a3039 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N)))))))
% 19.22/19.40  (assume a3040 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat K) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))))))
% 19.22/19.40  (assume a3041 (forall ((X tptp.real) (A tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) U)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) V)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real U) V) tptp.one_one_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real U) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real V) Y))) A)))))))))
% 19.22/19.40  (assume a3042 (forall ((X tptp.rat) (A tptp.rat) (Y tptp.rat) (U tptp.rat) (V tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) U)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) V)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat U) V) tptp.one_one_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat U) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat V) Y))) A)))))))))
% 19.22/19.40  (assume a3043 (forall ((X tptp.int) (A tptp.int) (Y tptp.int) (U tptp.int) (V tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) V)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int U) V) tptp.one_one_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int U) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V) Y))) A)))))))))
% 19.22/19.40  (assume a3044 (forall ((W tptp.num) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)))))))))
% 19.22/19.40  (assume a3045 (forall ((W tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)))))))))
% 19.22/19.40  (assume a3046 (forall ((B2 tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_num_real tptp.numeral_numeral_real W))))))))))
% 19.22/19.40  (assume a3047 (forall ((B2 tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))))
% 19.22/19.40  (assume a3048 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3049 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3050 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.22/19.40  (assume a3051 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.22/19.40  (assume a3052 (forall ((U tptp.real) (V tptp.real) (R2 tptp.real) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real U) V)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R2) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real U) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real V) U))) S))) V)))))))
% 19.22/19.40  (assume a3053 (forall ((U tptp.rat) (V tptp.rat) (R2 tptp.rat) (S tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat U) V)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) R2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat R2) S)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat U) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) (tptp.aa_rat_rat (tptp.minus_minus_rat V) U))) S))) V)))))))
% 19.22/19.40  (assume a3054 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.40  (assume a3055 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.40  (assume a3056 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.40  (assume a3057 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= X Y))))))
% 19.22/19.40  (assume a3058 (forall ((X tptp.rat) (Y tptp.rat)) (=> (= (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= X Y))))))
% 19.22/19.40  (assume a3059 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (= X Y))))))
% 19.22/19.40  (assume a3060 (forall ((X tptp.int) (Y tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= X Y))))))
% 19.22/19.40  (assume a3061 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 19.22/19.40  (assume a3062 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y))))))
% 19.22/19.40  (assume a3063 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))
% 19.22/19.40  (assume a3064 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))
% 19.22/19.40  (assume a3065 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))))
% 19.22/19.40  (assume a3066 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a3067 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3068 (forall ((C tptp.code_integer) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) C)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) C)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A B2) C)) (tptp.modulo364778990260209775nteger A B2))))))
% 19.22/19.40  (assume a3069 (forall ((C tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) C)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) C))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))))
% 19.22/19.40  (assume a3070 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) C)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) C))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))))
% 19.22/19.40  (assume a3071 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M) tptp.zero_zero_nat)))))
% 19.22/19.40  (assume a3072 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3073 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat)))))
% 19.22/19.40  (assume a3074 (forall ((M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3075 (forall ((N tptp.nat) (M tptp.nat)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) tptp.zero_zero_nat)))))
% 19.22/19.40  (assume a3076 (forall ((N tptp.nat) (M tptp.nat)) (=> (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int)) (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3077 (forall ((A tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))))
% 19.22/19.40  (assume a3078 (forall ((A tptp.int) (N tptp.nat) (M tptp.nat)) (=> (not (= A tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int A) M)) (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))))
% 19.22/19.40  (assume a3079 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= N tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 19.22/19.40  (assume a3080 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= N tptp.zero_zero_nat) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 19.22/19.40  (assume a3081 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 19.22/19.40  (assume a3082 (forall ((M tptp.nat) (P2 tptp.complex)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.power_power_complex P2) M) tptp.one_one_complex)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex P2) M) (tptp.aa_complex_complex (tptp.times_times_complex P2) (tptp.aa_nat_complex (tptp.power_power_complex P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.40  (assume a3083 (forall ((M tptp.nat) (P2 tptp.real)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real P2) M) tptp.one_one_real)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real P2) M) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real P2) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.40  (assume a3084 (forall ((M tptp.nat) (P2 tptp.rat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.power_power_rat P2) M) tptp.one_one_rat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat P2) M) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat P2) (tptp.aa_nat_rat (tptp.power_power_rat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.40  (assume a3085 (forall ((M tptp.nat) (P2 tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) M) tptp.one_one_nat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.40  (assume a3086 (forall ((M tptp.nat) (P2 tptp.int)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.power_power_int P2) M) tptp.one_one_int)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.power_power_int P2) M) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int P2) (tptp.aa_nat_int (tptp.power_power_int P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.40  (assume a3087 (forall ((N tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.22/19.40  (assume a3088 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.22/19.40  (assume a3089 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.22/19.40  (assume a3090 (forall ((N tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)))))
% 19.22/19.40  (assume a3091 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) A) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.22/19.40  (assume a3092 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N)))))))
% 19.22/19.40  (assume a3093 (forall ((P tptp.fun_nat_bool) (M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))) (or (and (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (exists ((Q4 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q4)) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc Q4)))) (tptp.pp (tptp.aa_nat_bool P Q4))))))))
% 19.22/19.40  (assume a3094 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N))) M) tptp.one_one_nat))))
% 19.22/19.40  (assume a3095 (forall ((A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (forall ((B4 tptp.code_integer)) (not (= A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B4) tptp.one_one_Code_integer))))))))
% 19.22/19.40  (assume a3096 (forall ((A tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (forall ((B4 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B4)) tptp.one_one_nat))))))))
% 19.22/19.40  (assume a3097 (forall ((A tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (not (forall ((B4 tptp.int)) (not (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B4)) tptp.one_one_int))))))))
% 19.22/19.40  (assume a3098 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 19.22/19.40  (assume a3099 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))))))
% 19.22/19.40  (assume a3100 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 19.22/19.40  (assume a3101 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))))))
% 19.22/19.40  (assume a3102 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3103 (forall ((X tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3104 (forall ((X tptp.int) (Y tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3105 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)) (and (= X tptp.zero_zero_real) (= Y tptp.zero_zero_real)))))
% 19.22/19.40  (assume a3106 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_rat)) (and (= X tptp.zero_zero_rat) (= Y tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a3107 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_int)) (and (= X tptp.zero_zero_int) (= Y tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3108 (forall ((X tptp.real) (Y tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)))))
% 19.22/19.40  (assume a3109 (forall ((X tptp.rat) (Y tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a3110 (forall ((X tptp.int) (Y tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3111 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X tptp.zero_zero_real)) (not (= Y tptp.zero_zero_real))))))
% 19.22/19.40  (assume a3112 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X tptp.zero_zero_rat)) (not (= Y tptp.zero_zero_rat))))))
% 19.22/19.40  (assume a3113 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (or (not (= X tptp.zero_zero_int)) (not (= Y tptp.zero_zero_int))))))
% 19.22/19.40  (assume a3114 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2))))))
% 19.22/19.40  (assume a3115 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))))))
% 19.22/19.40  (assume a3116 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (tptp.modulo364778990260209775nteger A B2))))))
% 19.22/19.40  (assume a3117 (forall ((A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_nat))))
% 19.22/19.40  (assume a3118 (forall ((A tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int))))
% 19.22/19.40  (assume a3119 (forall ((A tptp.code_integer)) (=> (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.plus_p5714425477246183910nteger A (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.40  (assume a3120 (forall ((A tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.40  (assume a3121 (forall ((A tptp.rat) (N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.40  (assume a3122 (forall ((A tptp.int) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.40  (assume a3123 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3)))))) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N3)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3)))))) (tptp.pp (tptp.aa_nat_bool P N)))))))
% 19.22/19.40  (assume a3124 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3125 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3126 (forall ((A3 tptp.nat) (B3 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A3) B3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A3) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat B3) N)) tptp.zero_zero_nat)) tptp.one_one_nat) tptp.zero_zero_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat B3) N)))))))
% 19.22/19.40  (assume a3127 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2))))))
% 19.22/19.40  (assume a3128 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.22/19.40  (assume a3129 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) (tptp.divide6298287555418463151nteger A B2))))))
% 19.22/19.40  (assume a3130 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 19.22/19.40  (assume a3131 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 19.22/19.40  (assume a3132 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 19.22/19.40  (assume a3133 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.zero_zero_real)))))
% 19.22/19.40  (assume a3134 (forall ((A tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.zero_zero_rat)))))
% 19.22/19.40  (assume a3135 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3136 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger (tptp.minus_8373710615458151222nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M) tptp.one_one_Code_integer) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.40  (assume a3137 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.40  (assume a3138 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) tptp.one_one_int)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.40  (assume a3139 (forall ((M tptp.code_integer) (X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) M)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X)) (or (= (tptp.modulo364778990260209775nteger X (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.modulo364778990260209775nteger X M)) (= (tptp.modulo364778990260209775nteger X (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger X M) M)))))))
% 19.22/19.40  (assume a3140 (forall ((M tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) X)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) M)) M)))))))
% 19.22/19.40  (assume a3141 (forall ((M tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (or (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) M)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) M)) M)))))))
% 19.22/19.40  (assume a3142 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B2) (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) (= (tptp.minus_8373710615458151222nteger (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) B2) (tptp.modulo364778990260209775nteger A B2)))))))
% 19.22/19.40  (assume a3143 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)))))))
% 19.22/19.40  (assume a3144 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)))))))
% 19.22/19.40  (assume a3145 (forall ((N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.40  (assume a3146 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2))))))
% 19.22/19.40  (assume a3147 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2))))))
% 19.22/19.40  (assume a3148 (forall ((X tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.40  (assume a3149 (forall ((X tptp.nat) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))))))))
% 19.22/19.40  (assume a3150 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.40  (assume a3151 (forall ((A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.40  (assume a3152 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.40  (assume a3153 (forall ((A tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.22/19.40  (assume a3154 (forall ((D tptp.code_integer) (D4 tptp.code_integer) (T tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) D4)) (forall ((X4 tptp.code_integer) (K4 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 T))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger X4 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger K4) D4)) T))))))))
% 19.22/19.40  (assume a3155 (forall ((D tptp.real) (D4 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D4)) (forall ((X4 tptp.real) (K4 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) T))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4))) T))))))))
% 19.22/19.40  (assume a3156 (forall ((D tptp.rat) (D4 tptp.rat) (T tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) D4)) (forall ((X4 tptp.rat) (K4 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) T))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D4))) T))))))))
% 19.22/19.40  (assume a3157 (forall ((D tptp.int) (D4 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X4 tptp.int) (K4 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) T))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4))) T))))))))
% 19.22/19.40  (assume a3158 (forall ((D tptp.code_integer) (D4 tptp.code_integer) (T tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) D4)) (forall ((X4 tptp.code_integer) (K4 tptp.code_integer)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 T)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger X4 (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger K4) D4)) T)))))))))
% 19.22/19.40  (assume a3159 (forall ((D tptp.real) (D4 tptp.real) (T tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) D4)) (forall ((X4 tptp.real) (K4 tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) T)))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4))) T)))))))))
% 19.22/19.40  (assume a3160 (forall ((D tptp.rat) (D4 tptp.rat) (T tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) D4)) (forall ((X4 tptp.rat) (K4 tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) T)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D4))) T)))))))))
% 19.22/19.40  (assume a3161 (forall ((D tptp.int) (D4 tptp.int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X4 tptp.int) (K4 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) T)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4))) T)))))))))
% 19.22/19.40  (assume a3162 (forall ((P tptp.fun_Co8822979462182099027r_bool) (L tptp.code_integer)) (= (exists ((X2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool P (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger L) X2)))) (exists ((X2 tptp.code_integer)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer L) (tptp.plus_p5714425477246183910nteger X2 tptp.zero_z3403309356797280102nteger))) (tptp.pp (tptp.aa_Code_integer_bool P X2)))))))
% 19.22/19.40  (assume a3163 (forall ((P tptp.fun_real_bool) (L tptp.real)) (= (exists ((X2 tptp.real)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real L) X2)))) (exists ((X2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real L) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X2) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool P X2)))))))
% 19.22/19.40  (assume a3164 (forall ((P tptp.fun_rat_bool) (L tptp.rat)) (= (exists ((X2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat L) X2)))) (exists ((X2 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat L) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X2) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool P X2)))))))
% 19.22/19.40  (assume a3165 (forall ((P tptp.fun_nat_bool) (L tptp.nat)) (= (exists ((X2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat L) X2)))) (exists ((X2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X2) tptp.zero_zero_nat))) (tptp.pp (tptp.aa_nat_bool P X2)))))))
% 19.22/19.40  (assume a3166 (forall ((P tptp.fun_int_bool) (L tptp.int)) (= (exists ((X2 tptp.int)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int L) X2)))) (exists ((X2 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X2) tptp.zero_zero_int))) (tptp.pp (tptp.aa_int_bool P X2)))))))
% 19.22/19.40  (assume a3167 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.22/19.40  (assume a3168 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.22/19.40  (assume a3169 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.22/19.40  (assume a3170 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3171 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3172 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3173 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) tptp.one_one_int))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 19.22/19.40  (assume a3174 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z) tptp.one_one_int))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)))))
% 19.22/19.40  (assume a3175 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) K)))))
% 19.22/19.40  (assume a3176 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) K)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) K)))))
% 19.22/19.40  (assume a3177 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z))))))
% 19.22/19.40  (assume a3178 (forall ((P tptp.fun_int_bool) (N tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int N) K))) (and (=> (= K tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool P N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (forall ((I2 tptp.int) (J3 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) J3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J3) K)) (= N (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) I2)) J3))) (tptp.pp (tptp.aa_int_bool P J3))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (forall ((I2 tptp.int) (J3 tptp.int)) (=> (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) J3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J3) tptp.zero_zero_int)) (= N (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) I2)) J3))) (tptp.pp (tptp.aa_int_bool P J3)))))))))
% 19.22/19.40  (assume a3179 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z)) Z)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3180 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) K)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L)) L))))))
% 19.22/19.40  (assume a3181 (forall ((B tptp.int) (Q5 tptp.int) (R4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) Q5)) R4))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R4) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Q5)))))))
% 19.22/19.40  (assume a3182 (forall ((I tptp.int) (J tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) I)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) J)))))))
% 19.22/19.40  (assume a3183 (forall ((A tptp.int) (B2 tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int R2) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) R2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) R2))))))
% 19.22/19.40  (assume a3184 (forall ((A tptp.int) (B2 tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) R2))))))
% 19.22/19.40  (assume a3185 (forall ((M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) M)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M) N) tptp.one_one_int) (and (= M tptp.one_one_int) (= N tptp.one_one_int))))))
% 19.22/19.40  (assume a3186 (forall ((D tptp.int) (P3 tptp.fun_int_bool) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P3 X3)) (tptp.pp (tptp.aa_int_bool P3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D)))))) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P3 X3)))))) (=> (exists ((X_12 tptp.int)) (tptp.pp (tptp.aa_int_bool P3 X_12))) (exists ((X_1 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_1)))))))))
% 19.22/19.40  (assume a3187 (forall ((B2 tptp.int) (Q2 tptp.int) (R2 tptp.int) (B tptp.int) (Q5 tptp.int) (R4 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) Q5)) R4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) Q5)) R4))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R4) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q2) Q5))))))))))
% 19.22/19.40  (assume a3188 (forall ((D tptp.int) (P1 tptp.fun_int_bool) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P1 X3)) (tptp.pp (tptp.aa_int_bool P1 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D)))))) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P1 X3)))))) (=> (exists ((X_12 tptp.int)) (tptp.pp (tptp.aa_int_bool P1 X_12))) (exists ((X_1 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_1)))))))))
% 19.22/19.40  (assume a3189 (forall ((D tptp.int) (P tptp.fun_int_bool) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) D))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) D)))))))))))
% 19.22/19.40  (assume a3190 (forall ((D tptp.int) (P tptp.fun_int_bool) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) D))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) D)))))))))))
% 19.22/19.40  (assume a3191 (forall ((B2 tptp.int) (Q2 tptp.int) (R2 tptp.int) (B tptp.int) (Q5 tptp.int) (R4 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) Q5)) R4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B) Q5)) R4)) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) R4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q5) Q2))))))))))
% 19.22/19.40  (assume a3192 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)))))
% 19.22/19.40  (assume a3193 (forall ((B2 tptp.int) (Q5 tptp.int) (R4 tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q5)) R4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) R4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R4) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q5) Q2))))))))
% 19.22/19.40  (assume a3194 (forall ((B2 tptp.int) (Q5 tptp.int) (R4 tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q5)) R4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) Q2)) R2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int R2) tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) R4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Q2) Q5))))))))
% 19.22/19.40  (assume a3195 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L)) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 19.22/19.40  (assume a3196 (forall ((K tptp.int) (N tptp.int) (M tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) M)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) N)))))
% 19.22/19.40  (assume a3197 (forall ((A tptp.int) (D tptp.int) (X tptp.int) (T tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) D)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) T))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) D))) T)))))))
% 19.22/19.40  (assume a3198 (forall ((Z tptp.int)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z)) Z) tptp.zero_zero_int))))
% 19.22/19.40  (assume a3199 (forall ((L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int tptp.zero_zero_int) L) tptp.zero_zero_int)))
% 19.22/19.40  (assume a3200 (forall ((K tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.22/19.40  (assume a3201 (forall ((M tptp.int) (D tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int M) D) tptp.zero_zero_int) (exists ((Q3 tptp.int)) (= M (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int D) Q3))))))
% 19.22/19.40  (assume a3202 (forall ((K tptp.int) (M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) N))) (=> (not (= K tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int M) N))))))
% 19.22/19.40  (assume a3203 (forall ((K tptp.int) (M tptp.int) (T tptp.int)) (=> (not (= K tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int M) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) T)))))))
% 19.22/19.40  (assume a3204 (forall ((M tptp.int) (D tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int M) D) tptp.zero_zero_int) (exists ((Q4 tptp.int)) (= M (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int D) Q4))))))
% 19.22/19.40  (assume a3205 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (= (tptp.times_7803423173614009249d_enat M N) tptp.zero_z5237406670263579293d_enat) (or (= M tptp.zero_z5237406670263579293d_enat) (= N tptp.zero_z5237406670263579293d_enat)))))
% 19.22/19.40  (assume a3206 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) L))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) L)))))
% 19.22/19.40  (assume a3207 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L)) L)))))
% 19.22/19.40  (assume a3208 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L))))))
% 19.22/19.40  (assume a3209 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L))))))
% 19.22/19.40  (assume a3210 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L)) tptp.zero_zero_int)))))
% 19.22/19.40  (assume a3211 (forall ((M tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int M) K)) M)))))
% 19.22/19.40  (assume a3212 (forall ((I tptp.int) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int I) K) I) (or (= K tptp.zero_zero_int) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) K))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) I)))))))
% 19.22/19.40  (assume a3213 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)) (and (= L tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L))))))
% 19.22/19.40  (assume a3214 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) B2))))))
% 19.22/19.40  (assume a3215 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)))))))
% 19.22/19.40  (assume a3216 (forall ((M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) M)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int M) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int N) M)))))))
% 19.22/19.40  (assume a3217 (forall ((Z tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Z) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) N))))))
% 19.22/19.40  (assume a3218 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) tptp.zero_zero_int))))
% 19.22/19.40  (assume a3219 (forall ((L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.zero_zero_int) L) L)))
% 19.22/19.40  (assume a3220 (forall ((K tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.zero_zero_int) K)))
% 19.22/19.40  (assume a3221 (forall ((K tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.zero_zero_int) K)))
% 19.22/19.40  (assume a3222 (forall ((K tptp.int) (M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int M) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int K) M))))))
% 19.22/19.40  (assume a3223 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) L))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L)))))
% 19.22/19.40  (assume a3224 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) L))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L)))))
% 19.22/19.40  (assume a3225 (not (= tptp.zero_z5237406670263579293d_enat tptp.one_on7984719198319812577d_enat)))
% 19.22/19.40  (assume a3226 (forall ((K tptp.int) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K)))))
% 19.22/19.40  (assume a3227 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K)) K))))
% 19.22/19.40  (assume a3228 (forall ((W tptp.int) (Z1 tptp.int) (Z22 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z1) Z22)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z1)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z22)))))
% 19.22/19.40  (assume a3229 (forall ((Z1 tptp.int) (Z22 tptp.int) (W tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z1) Z22)) W) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z1) W)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z22) W)))))
% 19.22/19.40  (assume a3230 (forall ((W tptp.int) (Z1 tptp.int) (Z22 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z1) Z22)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z1)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z22)))))
% 19.22/19.40  (assume a3231 (forall ((Z1 tptp.int) (Z22 tptp.int) (W tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z1) Z22)) W) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z1) W)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z22) W)))))
% 19.22/19.40  (assume a3232 (forall ((W tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) tptp.one_one_int)) Z)))))
% 19.22/19.40  (assume a3233 (forall ((I tptp.int) (K tptp.int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) K)) (=> (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I3) K)) (=> (tptp.pp (tptp.aa_int_bool P I3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int I3) tptp.one_one_int)))))) (tptp.pp (tptp.aa_int_bool P I)))))))
% 19.22/19.40  (assume a3234 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) tptp.one_one_int))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)) (= W Z)))))
% 19.22/19.40  (assume a3235 (forall ((I tptp.int) (K tptp.int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) K)) (=> (tptp.pp (tptp.aa_int_bool P K)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I3) K)) (=> (tptp.pp (tptp.aa_int_bool P I3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int I3) tptp.one_one_int)))))) (tptp.pp (tptp.aa_int_bool P I)))))))
% 19.22/19.40  (assume a3236 (forall ((K tptp.int) (I tptp.int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) I)) (=> (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) I3)) (=> (tptp.pp (tptp.aa_int_bool P I3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I3) tptp.one_one_int)))))) (tptp.pp (tptp.aa_int_bool P I)))))))
% 19.22/19.40  (assume a3237 (forall ((K tptp.int) (I tptp.int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) I)) (=> (tptp.pp (tptp.aa_int_bool P K)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) I3)) (=> (tptp.pp (tptp.aa_int_bool P I3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I3) tptp.one_one_int)))))) (tptp.pp (tptp.aa_int_bool P I)))))))
% 19.22/19.40  (assume a3238 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) tptp.one_one_int)) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)))))
% 19.22/19.40  (assume a3239 (forall ((P tptp.fun_int_bool) (K tptp.int) (I tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P K)) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) I3)) (=> (tptp.pp (tptp.aa_int_bool P I3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I3) tptp.one_one_int)))))) (=> (forall ((I3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I3) K)) (=> (tptp.pp (tptp.aa_int_bool P I3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int I3) tptp.one_one_int)))))) (tptp.pp (tptp.aa_int_bool P I)))))))
% 19.22/19.40  (assume a3240 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 19.22/19.40  (assume a3241 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) X4))))))))
% 19.22/19.40  (assume a3242 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat T) X4))))))))
% 19.22/19.40  (assume a3243 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num T) X4))))))))
% 19.22/19.40  (assume a3244 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat T) X4))))))))
% 19.22/19.40  (assume a3245 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X4))))))))
% 19.22/19.40  (assume a3246 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) T)))))))
% 19.22/19.40  (assume a3247 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) T)))))))
% 19.22/19.40  (assume a3248 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) T)))))))
% 19.22/19.40  (assume a3249 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) T)))))))
% 19.22/19.40  (assume a3250 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) T)))))))
% 19.22/19.40  (assume a3251 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3252 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3253 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3254 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3255 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3256 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3257 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3258 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3259 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3260 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3261 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q6 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z3)) (= (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool P3 X3)))))) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z3)) (= (tptp.pp (tptp.aa_real_bool Q X3)) (tptp.pp (tptp.aa_real_bool Q6 X3)))))) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (or (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4))) (or (tptp.pp (tptp.aa_real_bool P3 X4)) (tptp.pp (tptp.aa_real_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3262 (forall ((P tptp.fun_rat_bool) (P3 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q6 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z3)) (= (tptp.pp (tptp.aa_rat_bool P X3)) (tptp.pp (tptp.aa_rat_bool P3 X3)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z3)) (= (tptp.pp (tptp.aa_rat_bool Q X3)) (tptp.pp (tptp.aa_rat_bool Q6 X3)))))) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (= (or (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool Q X4))) (or (tptp.pp (tptp.aa_rat_bool P3 X4)) (tptp.pp (tptp.aa_rat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3263 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q6 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Z3)) (= (tptp.pp (tptp.aa_num_bool P X3)) (tptp.pp (tptp.aa_num_bool P3 X3)))))) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Z3)) (= (tptp.pp (tptp.aa_num_bool Q X3)) (tptp.pp (tptp.aa_num_bool Q6 X3)))))) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (= (or (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool Q X4))) (or (tptp.pp (tptp.aa_num_bool P3 X4)) (tptp.pp (tptp.aa_num_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3264 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q6 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z3)) (= (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool P3 X3)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z3)) (= (tptp.pp (tptp.aa_nat_bool Q X3)) (tptp.pp (tptp.aa_nat_bool Q6 X3)))))) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (or (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool Q X4))) (or (tptp.pp (tptp.aa_nat_bool P3 X4)) (tptp.pp (tptp.aa_nat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3265 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q6 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P3 X3)))))) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z3)) (= (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q6 X3)))))) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (or (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (or (tptp.pp (tptp.aa_int_bool P3 X4)) (tptp.pp (tptp.aa_int_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3266 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q6 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z3)) (= (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool P3 X3)))))) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Z3)) (= (tptp.pp (tptp.aa_real_bool Q X3)) (tptp.pp (tptp.aa_real_bool Q6 X3)))))) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (and (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4))) (and (tptp.pp (tptp.aa_real_bool P3 X4)) (tptp.pp (tptp.aa_real_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3267 (forall ((P tptp.fun_rat_bool) (P3 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q6 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z3)) (= (tptp.pp (tptp.aa_rat_bool P X3)) (tptp.pp (tptp.aa_rat_bool P3 X3)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Z3)) (= (tptp.pp (tptp.aa_rat_bool Q X3)) (tptp.pp (tptp.aa_rat_bool Q6 X3)))))) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (= (and (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool Q X4))) (and (tptp.pp (tptp.aa_rat_bool P3 X4)) (tptp.pp (tptp.aa_rat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3268 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q6 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Z3)) (= (tptp.pp (tptp.aa_num_bool P X3)) (tptp.pp (tptp.aa_num_bool P3 X3)))))) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Z3)) (= (tptp.pp (tptp.aa_num_bool Q X3)) (tptp.pp (tptp.aa_num_bool Q6 X3)))))) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (= (and (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool Q X4))) (and (tptp.pp (tptp.aa_num_bool P3 X4)) (tptp.pp (tptp.aa_num_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3269 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q6 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z3)) (= (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool P3 X3)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Z3)) (= (tptp.pp (tptp.aa_nat_bool Q X3)) (tptp.pp (tptp.aa_nat_bool Q6 X3)))))) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (and (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool Q X4))) (and (tptp.pp (tptp.aa_nat_bool P3 X4)) (tptp.pp (tptp.aa_nat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3270 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q6 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P3 X3)))))) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z3)) (= (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q6 X3)))))) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (and (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (and (tptp.pp (tptp.aa_int_bool P3 X4)) (tptp.pp (tptp.aa_int_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3271 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) X4)))))))
% 19.22/19.40  (assume a3272 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat T) X4)))))))
% 19.22/19.40  (assume a3273 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num T) X4)))))))
% 19.22/19.40  (assume a3274 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat T) X4)))))))
% 19.22/19.40  (assume a3275 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X4)))))))
% 19.22/19.40  (assume a3276 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) T))))))))
% 19.22/19.40  (assume a3277 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) T))))))))
% 19.22/19.40  (assume a3278 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) T))))))))
% 19.22/19.40  (assume a3279 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) T))))))))
% 19.22/19.40  (assume a3280 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) T))))))))
% 19.22/19.40  (assume a3281 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3282 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3283 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3284 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3285 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3286 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3287 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3288 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3289 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3290 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (not (= X4 T)))))))
% 19.22/19.40  (assume a3291 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q6 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X3)) (= (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool P3 X3)))))) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X3)) (= (tptp.pp (tptp.aa_real_bool Q X3)) (tptp.pp (tptp.aa_real_bool Q6 X3)))))) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (or (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4))) (or (tptp.pp (tptp.aa_real_bool P3 X4)) (tptp.pp (tptp.aa_real_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3292 (forall ((P tptp.fun_rat_bool) (P3 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q6 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X3)) (= (tptp.pp (tptp.aa_rat_bool P X3)) (tptp.pp (tptp.aa_rat_bool P3 X3)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X3)) (= (tptp.pp (tptp.aa_rat_bool Q X3)) (tptp.pp (tptp.aa_rat_bool Q6 X3)))))) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (= (or (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool Q X4))) (or (tptp.pp (tptp.aa_rat_bool P3 X4)) (tptp.pp (tptp.aa_rat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3293 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q6 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X3)) (= (tptp.pp (tptp.aa_num_bool P X3)) (tptp.pp (tptp.aa_num_bool P3 X3)))))) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X3)) (= (tptp.pp (tptp.aa_num_bool Q X3)) (tptp.pp (tptp.aa_num_bool Q6 X3)))))) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (= (or (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool Q X4))) (or (tptp.pp (tptp.aa_num_bool P3 X4)) (tptp.pp (tptp.aa_num_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3294 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q6 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X3)) (= (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool P3 X3)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X3)) (= (tptp.pp (tptp.aa_nat_bool Q X3)) (tptp.pp (tptp.aa_nat_bool Q6 X3)))))) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (or (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool Q X4))) (or (tptp.pp (tptp.aa_nat_bool P3 X4)) (tptp.pp (tptp.aa_nat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3295 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q6 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P3 X3)))))) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X3)) (= (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q6 X3)))))) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (or (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (or (tptp.pp (tptp.aa_int_bool P3 X4)) (tptp.pp (tptp.aa_int_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3296 (forall ((P tptp.fun_real_bool) (P3 tptp.fun_real_bool) (Q tptp.fun_real_bool) (Q6 tptp.fun_real_bool)) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X3)) (= (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool P3 X3)))))) (=> (exists ((Z3 tptp.real)) (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z3) X3)) (= (tptp.pp (tptp.aa_real_bool Q X3)) (tptp.pp (tptp.aa_real_bool Q6 X3)))))) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (and (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4))) (and (tptp.pp (tptp.aa_real_bool P3 X4)) (tptp.pp (tptp.aa_real_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3297 (forall ((P tptp.fun_rat_bool) (P3 tptp.fun_rat_bool) (Q tptp.fun_rat_bool) (Q6 tptp.fun_rat_bool)) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X3)) (= (tptp.pp (tptp.aa_rat_bool P X3)) (tptp.pp (tptp.aa_rat_bool P3 X3)))))) (=> (exists ((Z3 tptp.rat)) (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z3) X3)) (= (tptp.pp (tptp.aa_rat_bool Q X3)) (tptp.pp (tptp.aa_rat_bool Q6 X3)))))) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (= (and (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool Q X4))) (and (tptp.pp (tptp.aa_rat_bool P3 X4)) (tptp.pp (tptp.aa_rat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3298 (forall ((P tptp.fun_num_bool) (P3 tptp.fun_num_bool) (Q tptp.fun_num_bool) (Q6 tptp.fun_num_bool)) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X3)) (= (tptp.pp (tptp.aa_num_bool P X3)) (tptp.pp (tptp.aa_num_bool P3 X3)))))) (=> (exists ((Z3 tptp.num)) (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z3) X3)) (= (tptp.pp (tptp.aa_num_bool Q X3)) (tptp.pp (tptp.aa_num_bool Q6 X3)))))) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (= (and (tptp.pp (tptp.aa_num_bool P X4)) (tptp.pp (tptp.aa_num_bool Q X4))) (and (tptp.pp (tptp.aa_num_bool P3 X4)) (tptp.pp (tptp.aa_num_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3299 (forall ((P tptp.fun_nat_bool) (P3 tptp.fun_nat_bool) (Q tptp.fun_nat_bool) (Q6 tptp.fun_nat_bool)) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X3)) (= (tptp.pp (tptp.aa_nat_bool P X3)) (tptp.pp (tptp.aa_nat_bool P3 X3)))))) (=> (exists ((Z3 tptp.nat)) (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z3) X3)) (= (tptp.pp (tptp.aa_nat_bool Q X3)) (tptp.pp (tptp.aa_nat_bool Q6 X3)))))) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (and (tptp.pp (tptp.aa_nat_bool P X4)) (tptp.pp (tptp.aa_nat_bool Q X4))) (and (tptp.pp (tptp.aa_nat_bool P3 X4)) (tptp.pp (tptp.aa_nat_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3300 (forall ((P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (Q tptp.fun_int_bool) (Q6 tptp.fun_int_bool)) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P3 X3)))))) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X3)) (= (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q6 X3)))))) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (and (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (and (tptp.pp (tptp.aa_int_bool P3 X4)) (tptp.pp (tptp.aa_int_bool Q6 X4)))))))))))
% 19.22/19.40  (assume a3301 (forall ((X tptp.nat)) (=> (not (= X tptp.zero_zero_nat)) (=> (not (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (not (forall ((Va tptp.nat)) (not (= X (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))))))))))
% 19.22/19.40  (assume a3302 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B2 tptp.nat)) (=> (forall ((A4 tptp.nat) (B4 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B4) A4)))) (=> (forall ((A4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) tptp.zero_zero_nat))) (=> (forall ((A4 tptp.nat) (B4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A4) B4))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B2)))))))
% 19.22/19.40  (assume a3303 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X4))))))))
% 19.22/19.40  (assume a3304 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) X4))))))))
% 19.22/19.40  (assume a3305 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X4))))))))
% 19.22/19.40  (assume a3306 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X4))))))))
% 19.22/19.40  (assume a3307 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X4))))))))
% 19.22/19.40  (assume a3308 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) T)))))))
% 19.22/19.40  (assume a3309 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) T)))))))
% 19.22/19.40  (assume a3310 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X4) Z2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) T)))))))
% 19.22/19.40  (assume a3311 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) T)))))))
% 19.22/19.40  (assume a3312 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) T)))))))
% 19.22/19.40  (assume a3313 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) X4)))))))
% 19.22/19.40  (assume a3314 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) X4)))))))
% 19.22/19.40  (assume a3315 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num T) X4)))))))
% 19.22/19.40  (assume a3316 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat T) X4)))))))
% 19.22/19.40  (assume a3317 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X4)))))))
% 19.22/19.40  (assume a3318 (forall ((T tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) T))))))))
% 19.22/19.40  (assume a3319 (forall ((T tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X4) T))))))))
% 19.22/19.40  (assume a3320 (forall ((T tptp.num)) (exists ((Z2 tptp.num)) (forall ((X4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Z2) X4)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X4) T))))))))
% 19.22/19.40  (assume a3321 (forall ((T tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) T))))))))
% 19.22/19.40  (assume a3322 (forall ((T tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) T))))))))
% 19.22/19.40  (assume a3323 (forall ((P tptp.fun_real_bool) (D4 tptp.real) (Q tptp.fun_real_bool)) (=> (forall ((X3 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (=> (forall ((X3 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool Q X3)) (tptp.pp (tptp.aa_real_bool Q (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (forall ((X4 tptp.real) (K4 tptp.real)) (= (or (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4))) (or (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4)))) (tptp.pp (tptp.aa_real_bool Q (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4)))))))))))
% 19.22/19.40  (assume a3324 (forall ((P tptp.fun_rat_bool) (D4 tptp.rat) (Q tptp.fun_rat_bool)) (=> (forall ((X3 tptp.rat) (K2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool P X3)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_rat_rat (tptp.minus_minus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K2) D4)))))) (=> (forall ((X3 tptp.rat) (K2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool Q X3)) (tptp.pp (tptp.aa_rat_bool Q (tptp.aa_rat_rat (tptp.minus_minus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K2) D4)))))) (forall ((X4 tptp.rat) (K4 tptp.rat)) (= (or (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool Q X4))) (or (tptp.pp (tptp.aa_rat_bool P (tptp.aa_rat_rat (tptp.minus_minus_rat X4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D4)))) (tptp.pp (tptp.aa_rat_bool Q (tptp.aa_rat_rat (tptp.minus_minus_rat X4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D4)))))))))))
% 19.22/19.40  (assume a3325 (forall ((P tptp.fun_int_bool) (D4 tptp.int) (Q tptp.fun_int_bool)) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (forall ((X4 tptp.int) (K4 tptp.int)) (= (or (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (or (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4)))) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4)))))))))))
% 19.22/19.40  (assume a3326 (forall ((P tptp.fun_real_bool) (D4 tptp.real) (Q tptp.fun_real_bool)) (=> (forall ((X3 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool P X3)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (=> (forall ((X3 tptp.real) (K2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool Q X3)) (tptp.pp (tptp.aa_real_bool Q (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K2) D4)))))) (forall ((X4 tptp.real) (K4 tptp.real)) (= (and (tptp.pp (tptp.aa_real_bool P X4)) (tptp.pp (tptp.aa_real_bool Q X4))) (and (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4)))) (tptp.pp (tptp.aa_real_bool Q (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K4) D4)))))))))))
% 19.22/19.40  (assume a3327 (forall ((P tptp.fun_rat_bool) (D4 tptp.rat) (Q tptp.fun_rat_bool)) (=> (forall ((X3 tptp.rat) (K2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool P X3)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_rat_rat (tptp.minus_minus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K2) D4)))))) (=> (forall ((X3 tptp.rat) (K2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool Q X3)) (tptp.pp (tptp.aa_rat_bool Q (tptp.aa_rat_rat (tptp.minus_minus_rat X3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K2) D4)))))) (forall ((X4 tptp.rat) (K4 tptp.rat)) (= (and (tptp.pp (tptp.aa_rat_bool P X4)) (tptp.pp (tptp.aa_rat_bool Q X4))) (and (tptp.pp (tptp.aa_rat_bool P (tptp.aa_rat_rat (tptp.minus_minus_rat X4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D4)))) (tptp.pp (tptp.aa_rat_bool Q (tptp.aa_rat_rat (tptp.minus_minus_rat X4) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K4) D4)))))))))))
% 19.22/19.40  (assume a3328 (forall ((P tptp.fun_int_bool) (D4 tptp.int) (Q tptp.fun_int_bool)) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (forall ((X4 tptp.int) (K4 tptp.int)) (= (and (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (and (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4)))) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K4) D4)))))))))))
% 19.22/19.40  (assume a3329 (forall ((P2 tptp.nat) (A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat P2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2))) (not (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (= P2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X3) Y3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X3) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Y3) B2))))))))))
% 19.22/19.40  (assume a3330 (forall ((P2 tptp.int) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int P2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))) (not (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (= P2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X3) Y3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X3) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Y3) B2))))))))))
% 19.22/19.40  (assume a3331 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C))) (exists ((B5 tptp.nat) (C4 tptp.nat)) (and (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B5) C4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B5) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat C4) C)))))))
% 19.22/19.40  (assume a3332 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C))) (exists ((B5 tptp.int) (C4 tptp.int)) (and (= A (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B5) C4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B5) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int C4) C)))))))
% 19.22/19.40  (assume a3333 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M))))))
% 19.22/19.40  (assume a3334 (forall ((P tptp.fun_nat_fun_nat_bool) (M tptp.nat) (N tptp.nat)) (=> (forall ((M4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M4) tptp.zero_zero_nat))) (=> (forall ((M4 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P N3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M4) N3))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M4) N3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P M) N))))))
% 19.22/19.40  (assume a3335 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X4 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger Z2) X4)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S)))))))))
% 19.22/19.40  (assume a3336 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S)))))))))
% 19.22/19.40  (assume a3337 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S)))))))))
% 19.22/19.40  (assume a3338 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S)))))))))
% 19.22/19.40  (assume a3339 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S)))))))))
% 19.22/19.40  (assume a3340 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X4 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger Z2) X4)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S))))))))))
% 19.22/19.40  (assume a3341 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) X4)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S)))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S))))))))))
% 19.22/19.40  (assume a3342 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) X4)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S))))))))))
% 19.22/19.40  (assume a3343 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Z2) X4)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S)))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S))))))))))
% 19.22/19.40  (assume a3344 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z2) X4)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S))))))))))
% 19.22/19.40  (assume a3345 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X4 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X4) Z2)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S)))))))))
% 19.22/19.40  (assume a3346 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S)))))))))
% 19.22/19.40  (assume a3347 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S)))))))))
% 19.22/19.40  (assume a3348 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S)))))))))
% 19.22/19.40  (assume a3349 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S)))))))))
% 19.22/19.40  (assume a3350 (forall ((D tptp.code_integer) (S tptp.code_integer)) (exists ((Z2 tptp.code_integer)) (forall ((X4 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X4) Z2)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S)))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer D) (tptp.plus_p5714425477246183910nteger X4 S))))))))))
% 19.22/19.40  (assume a3351 (forall ((D tptp.real) (S tptp.real)) (exists ((Z2 tptp.real)) (forall ((X4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) Z2)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S)))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real D) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X4) S))))))))))
% 19.22/19.40  (assume a3352 (forall ((D tptp.rat) (S tptp.rat)) (exists ((Z2 tptp.rat)) (forall ((X4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) Z2)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S)))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat D) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X4) S))))))))))
% 19.22/19.40  (assume a3353 (forall ((D tptp.nat) (S tptp.nat)) (exists ((Z2 tptp.nat)) (forall ((X4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Z2)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S)))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) S))))))))))
% 19.22/19.40  (assume a3354 (forall ((D tptp.int) (S tptp.int)) (exists ((Z2 tptp.int)) (forall ((X4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) Z2)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) S))))))))))
% 19.22/19.40  (assume a3355 (forall ((D tptp.nat) (A tptp.nat) (B2 tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) B2)) (=> (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) Y)) D)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y)) D))) (exists ((X3 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) Y3)) D)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) D))))))))))
% 19.22/19.40  (assume a3356 (forall ((A tptp.nat) (B2 tptp.nat)) (exists ((D2 tptp.nat) (X3 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) B2)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) Y3)) D2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) D2)))))))
% 19.22/19.40  (assume a3357 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (exists ((D2 tptp.nat) (X3 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) B2)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) Y3)) D2)))))))
% 19.22/19.40  (assume a3358 (forall ((A tptp.nat) (B2 tptp.nat)) (exists ((D2 tptp.nat) (X3 tptp.nat) (Y3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D2) B2)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) Y3)) D2) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) D2))))))
% 19.22/19.40  (assume a3359 (forall ((A tptp.real) (B2 tptp.real) (P tptp.fun_re1255401033344146673l_bool)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (forall ((A4 tptp.real) (B4 tptp.real) (C3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A4) B4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P B4) C3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A4) B4)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B4) C3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A4) C3))))))) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (exists ((D5 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D5)) (forall ((A4 tptp.real) (B4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A4) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B4) A4)) D5))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A4) B4))))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A) B2)))))))
% 19.22/19.40  (assume a3360 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 19.22/19.40  (assume a3361 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Z)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y))))))
% 19.22/19.40  (assume a3362 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))
% 19.22/19.40  (assume a3363 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 19.22/19.40  (assume a3364 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Z)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y))))))
% 19.22/19.40  (assume a3365 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))
% 19.22/19.40  (assume a3366 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.nat_triangle N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.40  (assume a3367 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.bit_ri6519982836138164636nteger N A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.bit_ri6519982836138164636nteger N A) (tptp.plus_p5714425477246183910nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri6519982836138164636nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.40  (assume a3368 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.40  (assume a3369 (forall ((B2 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) B2)))
% 19.22/19.40  (assume a3370 (forall ((B2 tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) B2)))
% 19.22/19.40  (assume a3371 (forall ((B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) B2)))
% 19.22/19.40  (assume a3372 (forall ((B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) B2)))
% 19.22/19.40  (assume a3373 (forall ((B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) B2)))
% 19.22/19.40  (assume a3374 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A)))
% 19.22/19.40  (assume a3375 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A)))
% 19.22/19.40  (assume a3376 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A)))
% 19.22/19.40  (assume a3377 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) A)))
% 19.22/19.40  (assume a3378 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A)))
% 19.22/19.40  (assume a3379 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (= A B2))))
% 19.22/19.40  (assume a3380 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (= A B2))))
% 19.22/19.40  (assume a3381 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (= A B2))))
% 19.22/19.40  (assume a3382 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (= A B2))))
% 19.22/19.40  (assume a3383 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (= A B2))))
% 19.22/19.40  (assume a3384 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))
% 19.22/19.40  (assume a3385 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B2)))))
% 19.22/19.40  (assume a3386 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))
% 19.22/19.40  (assume a3387 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))
% 19.22/19.40  (assume a3388 (= (tptp.aa_real_real tptp.uminus_uminus_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.22/19.40  (assume a3389 (= (tptp.aa_int_int tptp.uminus_uminus_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.22/19.40  (assume a3390 (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.22/19.40  (assume a3391 (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 19.22/19.40  (assume a3392 (= (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.22/19.40  (assume a3393 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (= tptp.zero_zero_real A))))
% 19.22/19.40  (assume a3394 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (= tptp.zero_zero_int A))))
% 19.22/19.40  (assume a3395 (forall ((A tptp.complex)) (= (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (= tptp.zero_zero_complex A))))
% 19.22/19.40  (assume a3396 (forall ((A tptp.code_integer)) (= (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (= tptp.zero_z3403309356797280102nteger A))))
% 19.22/19.40  (assume a3397 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (= tptp.zero_zero_rat A))))
% 19.22/19.40  (assume a3398 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.40  (assume a3399 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.22/19.40  (assume a3400 (forall ((A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 19.22/19.40  (assume a3401 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.40  (assume a3402 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.40  (assume a3403 (forall ((A tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real A)) (= A tptp.zero_zero_real))))
% 19.22/19.40  (assume a3404 (forall ((A tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int A)) (= A tptp.zero_zero_int))))
% 19.22/19.40  (assume a3405 (forall ((A tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.40  (assume a3406 (forall ((A tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (= A tptp.zero_zero_rat))))
% 19.22/19.40  (assume a3407 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) A) (= A tptp.zero_zero_real))))
% 19.22/19.40  (assume a3408 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) A) (= A tptp.zero_zero_int))))
% 19.22/19.40  (assume a3409 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.40  (assume a3410 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) A) (= A tptp.zero_zero_rat))))
% 19.22/19.40  (assume a3411 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)))))
% 19.22/19.40  (assume a3412 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)))))
% 19.22/19.40  (assume a3413 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B2)))))
% 19.22/19.40  (assume a3414 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)))))
% 19.22/19.40  (assume a3415 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (= M N))))
% 19.22/19.40  (assume a3416 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (= M N))))
% 19.22/19.40  (assume a3417 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (= M N))))
% 19.22/19.40  (assume a3418 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (= M N))))
% 19.22/19.40  (assume a3419 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (= M N))))
% 19.22/19.40  (assume a3420 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))
% 19.22/19.40  (assume a3421 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)))))
% 19.22/19.40  (assume a3422 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)))))
% 19.22/19.40  (assume a3423 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)))))
% 19.22/19.40  (assume a3424 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))
% 19.22/19.40  (assume a3425 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))))
% 19.22/19.40  (assume a3426 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))))
% 19.22/19.40  (assume a3427 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex (tptp.times_times_complex A) B2))))
% 19.22/19.40  (assume a3428 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2))))
% 19.22/19.40  (assume a3429 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))))
% 19.22/19.40  (assume a3430 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))
% 19.22/19.40  (assume a3431 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)))))
% 19.22/19.40  (assume a3432 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)))))
% 19.22/19.40  (assume a3433 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)))))
% 19.22/19.40  (assume a3434 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))
% 19.22/19.40  (assume a3435 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))
% 19.22/19.40  (assume a3436 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B2)))))
% 19.22/19.40  (assume a3437 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)))))
% 19.22/19.40  (assume a3438 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B2)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)))))
% 19.22/19.40  (assume a3439 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))
% 19.22/19.40  (assume a3440 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) B2)))
% 19.22/19.40  (assume a3441 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) B2)))
% 19.22/19.40  (assume a3442 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) B2)))
% 19.22/19.40  (assume a3443 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.plus_p5714425477246183910nteger A B2)) B2)))
% 19.22/19.40  (assume a3444 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) B2)))
% 19.22/19.40  (assume a3445 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2)) B2)))
% 19.22/19.40  (assume a3446 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)) B2)))
% 19.22/19.40  (assume a3447 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B2)) B2)))
% 19.22/19.40  (assume a3448 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2)) B2)))
% 19.22/19.40  (assume a3449 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2)) B2)))
% 19.22/19.40  (assume a3450 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A))))
% 19.22/19.40  (assume a3451 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A))))
% 19.22/19.41  (assume a3452 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2)) (tptp.aa_complex_complex (tptp.minus_minus_complex B2) A))))
% 19.22/19.41  (assume a3453 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.minus_8373710615458151222nteger A B2)) (tptp.minus_8373710615458151222nteger B2 A))))
% 19.22/19.41  (assume a3454 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A))))
% 19.22/19.41  (assume a3455 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))
% 19.22/19.41  (assume a3456 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.divide6298287555418463151nteger A B2))))
% 19.22/19.41  (assume a3457 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) (tptp.aa_real_real tptp.uminus_uminus_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Y)))))
% 19.22/19.41  (assume a3458 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) (tptp.aa_int_int tptp.uminus_uminus_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Y)))))
% 19.22/19.41  (assume a3459 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex X) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Y))) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex X) Y)))))
% 19.22/19.41  (assume a3460 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Y))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) Y)))))
% 19.22/19.41  (assume a3461 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X) Y)))))
% 19.22/19.41  (assume a3462 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real tptp.uminus_uminus_real X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real X) Y)))))
% 19.22/19.41  (assume a3463 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int tptp.uminus_uminus_int X)) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) Y)))))
% 19.22/19.41  (assume a3464 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) Y)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex X) Y)))))
% 19.22/19.41  (assume a3465 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X)) Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer X) Y)))))
% 19.22/19.41  (assume a3466 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat X) Y)))))
% 19.22/19.41  (assume a3467 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)))))
% 19.22/19.41  (assume a3468 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A B2)))))
% 19.22/19.41  (assume a3469 (forall ((X tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real) (= X A))))
% 19.22/19.41  (assume a3470 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 19.22/19.41  (assume a3471 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.22/19.41  (assume a3472 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 19.22/19.41  (assume a3473 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 19.22/19.41  (assume a3474 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a3475 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.41  (assume a3476 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a3477 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a3478 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 19.22/19.41  (assume a3479 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.22/19.41  (assume a3480 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 19.22/19.41  (assume a3481 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 19.22/19.41  (assume a3482 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a3483 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.41  (assume a3484 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a3485 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a3486 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.22/19.41  (assume a3487 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 19.22/19.41  (assume a3488 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.22/19.41  (assume a3489 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.22/19.41  (assume a3490 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a3491 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a3492 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.41  (assume a3493 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a3494 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.22/19.41  (assume a3495 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 19.22/19.41  (assume a3496 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.22/19.41  (assume a3497 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.22/19.41  (assume a3498 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real tptp.uminus_uminus_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a3499 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a3500 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.41  (assume a3501 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a3502 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A) tptp.zero_zero_real)))
% 19.22/19.41  (assume a3503 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A) tptp.zero_zero_int)))
% 19.22/19.41  (assume a3504 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 19.22/19.41  (assume a3505 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.41  (assume a3506 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A) tptp.zero_zero_rat)))
% 19.22/19.41  (assume a3507 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real A)) tptp.zero_zero_real)))
% 19.22/19.41  (assume a3508 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int A)) tptp.zero_zero_int)))
% 19.22/19.41  (assume a3509 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) tptp.zero_zero_complex)))
% 19.22/19.41  (assume a3510 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.41  (assume a3511 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) tptp.zero_zero_rat)))
% 19.22/19.41  (assume a3512 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.zero_zero_real) A) (tptp.aa_real_real tptp.uminus_uminus_real A))))
% 19.22/19.41  (assume a3513 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.zero_zero_int) A) (tptp.aa_int_int tptp.uminus_uminus_int A))))
% 19.22/19.41  (assume a3514 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.zero_zero_complex) A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))
% 19.22/19.41  (assume a3515 (forall ((A tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger tptp.zero_z3403309356797280102nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))
% 19.22/19.41  (assume a3516 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.zero_zero_rat) A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))
% 19.22/19.41  (assume a3517 (forall ((B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.zero_zero_real) B2) (tptp.aa_real_real tptp.uminus_uminus_real B2))))
% 19.22/19.41  (assume a3518 (forall ((B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.zero_zero_int) B2) (tptp.aa_int_int tptp.uminus_uminus_int B2))))
% 19.22/19.41  (assume a3519 (forall ((B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.zero_zero_complex) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))))
% 19.22/19.41  (assume a3520 (forall ((B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger tptp.zero_z3403309356797280102nteger B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2))))
% 19.22/19.41  (assume a3521 (forall ((B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.zero_zero_rat) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))))
% 19.22/19.41  (assume a3522 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 19.22/19.41  (assume a3523 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a3524 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N))))))
% 19.22/19.41  (assume a3525 (forall ((M tptp.num) (N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N))))))
% 19.22/19.41  (assume a3526 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 19.22/19.41  (assume a3527 (forall ((Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Z) (tptp.aa_real_real tptp.uminus_uminus_real Z))))
% 19.22/19.41  (assume a3528 (forall ((Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) Z) (tptp.aa_int_int tptp.uminus_uminus_int Z))))
% 19.22/19.41  (assume a3529 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) Z) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Z))))
% 19.22/19.41  (assume a3530 (forall ((Z tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) Z) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Z))))
% 19.22/19.41  (assume a3531 (forall ((Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) Z) (tptp.aa_rat_rat tptp.uminus_uminus_rat Z))))
% 19.22/19.41  (assume a3532 (forall ((Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real Z))))
% 19.22/19.41  (assume a3533 (forall ((Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int Z))))
% 19.22/19.41  (assume a3534 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Z))))
% 19.22/19.41  (assume a3535 (forall ((Z tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger Z) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Z))))
% 19.22/19.41  (assume a3536 (forall ((Z tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat Z))))
% 19.22/19.41  (assume a3537 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A))))
% 19.22/19.41  (assume a3538 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A))))
% 19.22/19.41  (assume a3539 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B2) (tptp.aa_complex_complex (tptp.minus_minus_complex B2) A))))
% 19.22/19.41  (assume a3540 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2) (tptp.minus_8373710615458151222nteger B2 A))))
% 19.22/19.41  (assume a3541 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A))))
% 19.22/19.41  (assume a3542 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))))
% 19.22/19.41  (assume a3543 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))))
% 19.22/19.41  (assume a3544 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2))))
% 19.22/19.41  (assume a3545 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.plus_p5714425477246183910nteger A B2))))
% 19.22/19.41  (assume a3546 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))))
% 19.22/19.41  (assume a3547 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int A))))
% 19.22/19.41  (assume a3548 (forall ((A tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))
% 19.22/19.41  (assume a3549 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real X))))
% 19.22/19.41  (assume a3550 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X))))
% 19.22/19.41  (assume a3551 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat X))))
% 19.22/19.41  (assume a3552 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2))))
% 19.22/19.41  (assume a3553 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.minus_8373710615458151222nteger B2 A) B2) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2))))
% 19.22/19.41  (assume a3554 (forall ((N tptp.nat)) (= (tptp.bit_ri6519982836138164636nteger N (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a3555 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.41  (assume a3556 (forall ((K tptp.num)) (= (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_num_real tptp.numeral_numeral_real K))))))
% 19.22/19.41  (assume a3557 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_num_int tptp.numeral_numeral_int K))))))
% 19.22/19.41  (assume a3558 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.numera6690914467698888265omplex K))))))
% 19.22/19.41  (assume a3559 (forall ((K tptp.num)) (= (tptp.neg_nu8804712462038260780nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.neg_nu8804712462038260780nteger (tptp.numera6620942414471956472nteger K))))))
% 19.22/19.41  (assume a3560 (forall ((K tptp.num)) (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K))))))
% 19.22/19.41  (assume a3561 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.nat_triangle (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle N)) (tptp.aa_nat_nat tptp.suc N)))))
% 19.22/19.41  (assume a3562 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real) tptp.zero_zero_real))
% 19.22/19.41  (assume a3563 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int) tptp.zero_zero_int))
% 19.22/19.41  (assume a3564 (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.one_one_complex) tptp.zero_zero_complex))
% 19.22/19.41  (assume a3565 (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer) tptp.zero_z3403309356797280102nteger))
% 19.22/19.41  (assume a3566 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat) tptp.zero_zero_rat))
% 19.22/19.41  (assume a3567 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real))
% 19.22/19.41  (assume a3568 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 19.22/19.41  (assume a3569 (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.zero_zero_complex))
% 19.22/19.41  (assume a3570 (= (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 19.22/19.41  (assume a3571 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.zero_zero_rat))
% 19.22/19.41  (assume a3572 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real))
% 19.22/19.41  (assume a3573 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 19.22/19.41  (assume a3574 (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.zero_zero_complex))
% 19.22/19.41  (assume a3575 (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 19.22/19.41  (assume a3576 (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.zero_zero_rat))
% 19.22/19.41  (assume a3577 (forall ((N tptp.num)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (= N tptp.one))))
% 19.22/19.41  (assume a3578 (forall ((N tptp.num)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (= N tptp.one))))
% 19.22/19.41  (assume a3579 (forall ((N tptp.num)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (= N tptp.one))))
% 19.22/19.41  (assume a3580 (forall ((N tptp.num)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (= N tptp.one))))
% 19.22/19.41  (assume a3581 (forall ((N tptp.num)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (= N tptp.one))))
% 19.22/19.41  (assume a3582 (forall ((N tptp.num)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (= N tptp.one))))
% 19.22/19.41  (assume a3583 (forall ((N tptp.num)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= N tptp.one))))
% 19.22/19.41  (assume a3584 (forall ((N tptp.num)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (= N tptp.one))))
% 19.22/19.41  (assume a3585 (forall ((N tptp.num)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (= N tptp.one))))
% 19.22/19.41  (assume a3586 (forall ((N tptp.num)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (= N tptp.one))))
% 19.22/19.41  (assume a3587 (forall ((N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) tptp.one_one_real)))
% 19.22/19.41  (assume a3588 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) tptp.one_one_int)))
% 19.22/19.41  (assume a3589 (forall ((N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) tptp.one_one_complex)))
% 19.22/19.41  (assume a3590 (forall ((N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N)) (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N)) tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a3591 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) tptp.one_one_rat)))
% 19.22/19.41  (assume a3592 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) A)) A)))
% 19.22/19.41  (assume a3593 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) A)) A)))
% 19.22/19.41  (assume a3594 (forall ((N tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) A)) A)))
% 19.22/19.41  (assume a3595 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N)) A)) A)))
% 19.22/19.41  (assume a3596 (forall ((N tptp.nat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) A)) A)))
% 19.22/19.41  (assume a3597 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int)))
% 19.22/19.41  (assume a3598 (forall ((A tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.41  (assume a3599 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num V) W)))) Y))))
% 19.22/19.41  (assume a3600 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num V) W)))) Y))))
% 19.22/19.41  (assume a3601 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num V) W)))) Y))))
% 19.22/19.41  (assume a3602 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W)) Y)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num V) W))) Y))))
% 19.22/19.41  (assume a3603 (forall ((V tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num V) W)))) Y))))
% 19.22/19.41  (assume a3604 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.22/19.41  (assume a3605 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.22/19.41  (assume a3606 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.22/19.41  (assume a3607 (forall ((M tptp.num) (N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.22/19.41  (assume a3608 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num M) N))))))
% 19.22/19.41  (assume a3609 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.22/19.41  (assume a3610 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.22/19.41  (assume a3611 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.22/19.41  (assume a3612 (forall ((M tptp.num) (N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.numera6620942414471956472nteger M) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.22/19.41  (assume a3613 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.22/19.41  (assume a3614 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num V) W))) Y))))
% 19.22/19.41  (assume a3615 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num V) W))) Y))))
% 19.22/19.41  (assume a3616 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num V) W))) Y))))
% 19.22/19.41  (assume a3617 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W))) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num V) W))) Y))))
% 19.22/19.41  (assume a3618 (forall ((V tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num V) W))) Y))))
% 19.22/19.41  (assume a3619 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3620 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3621 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex V)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3622 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger V)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W))) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3623 (forall ((V tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3624 (forall ((V tptp.num) (W tptp.num) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3625 (forall ((V tptp.num) (W tptp.num) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3626 (forall ((V tptp.num) (W tptp.num) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex V))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3627 (forall ((V tptp.num) (W tptp.num) (Y tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger V))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger W)) Y)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3628 (forall ((V tptp.num) (W tptp.num) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num V) W)))) Y))))
% 19.22/19.41  (assume a3629 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3630 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3631 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3632 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3633 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3634 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3635 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3636 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3637 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3638 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num M) N))))))
% 19.22/19.41  (assume a3639 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.22/19.41  (assume a3640 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.22/19.41  (assume a3641 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.22/19.41  (assume a3642 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.22/19.41  (assume a3643 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.times_times_num M) N)))))
% 19.22/19.41  (assume a3644 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M)))))
% 19.22/19.41  (assume a3645 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M)))))
% 19.22/19.41  (assume a3646 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M)))))
% 19.22/19.41  (assume a3647 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num N) M)))))
% 19.22/19.41  (assume a3648 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M)))))
% 19.22/19.41  (assume a3649 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M)))))
% 19.22/19.41  (assume a3650 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M)))))
% 19.22/19.41  (assume a3651 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num N) M)))))
% 19.22/19.41  (assume a3652 (forall ((M tptp.num)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3653 (forall ((M tptp.num)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3654 (forall ((M tptp.num)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3655 (forall ((M tptp.num)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3656 (forall ((B2 tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) B2)))))
% 19.22/19.41  (assume a3657 (forall ((B2 tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) B2)))))
% 19.22/19.41  (assume a3658 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))))
% 19.22/19.41  (assume a3659 (forall ((A tptp.rat) (B2 tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))
% 19.22/19.41  (assume a3660 (forall ((B2 tptp.real) (W tptp.num) (A tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) A) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.22/19.41  (assume a3661 (forall ((B2 tptp.complex) (W tptp.num) (A tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) A) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= B2 (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.22/19.41  (assume a3662 (forall ((B2 tptp.rat) (W tptp.num) (A tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) A) (and (=> (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)) (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))) (=> (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.22/19.41  (assume a3663 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (= A (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) B2)) (=> (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.22/19.41  (assume a3664 (forall ((A tptp.complex) (B2 tptp.complex) (W tptp.num)) (= (= A (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)))) (and (=> (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) B2)) (=> (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.22/19.41  (assume a3665 (forall ((A tptp.rat) (B2 tptp.rat) (W tptp.num)) (= (= A (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (and (=> (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) B2)) (=> (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.22/19.41  (assume a3666 (forall ((M tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3667 (forall ((M tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3668 (forall ((M tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3669 (forall ((M tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))) (not (= M tptp.one)))))
% 19.22/19.41  (assume a3670 (forall ((B2 tptp.real) (W tptp.num) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) B2)))))
% 19.22/19.41  (assume a3671 (forall ((B2 tptp.rat) (W tptp.num) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) B2)))))
% 19.22/19.41  (assume a3672 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))))
% 19.22/19.41  (assume a3673 (forall ((A tptp.rat) (B2 tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))))
% 19.22/19.41  (assume a3674 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a3675 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a3676 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a3677 (forall ((A tptp.code_integer)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.power_8256067586552552935nteger A (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a3678 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a3679 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3680 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3681 (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3682 (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3683 (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3684 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.41  (assume a3685 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.41  (assume a3686 (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.41  (assume a3687 (= (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.41  (assume a3688 (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.41  (assume a3689 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3690 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3691 (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3692 (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3693 (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3694 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 19.22/19.41  (assume a3695 (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a3696 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 19.22/19.41  (assume a3697 (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 19.22/19.41  (assume a3698 (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int))
% 19.22/19.41  (assume a3699 (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer))
% 19.22/19.41  (assume a3700 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a3701 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a3702 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a3703 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.power_8256067586552552935nteger A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a3704 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a3705 (forall ((N tptp.nat) (A tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))))))
% 19.22/19.41  (assume a3706 (forall ((N tptp.nat) (A tptp.int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int A) N))))))
% 19.22/19.41  (assume a3707 (forall ((N tptp.nat) (A tptp.complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N))))))
% 19.22/19.41  (assume a3708 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.power_8256067586552552935nteger A N))))))
% 19.22/19.41  (assume a3709 (forall ((N tptp.nat) (A tptp.rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N))))))
% 19.22/19.41  (assume a3710 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.22/19.41  (assume a3711 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.22/19.41  (assume a3712 (forall ((N tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.22/19.41  (assume a3713 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N) (tptp.power_8256067586552552935nteger A N)))))
% 19.22/19.41  (assume a3714 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.22/19.41  (assume a3715 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.22/19.41  (assume a3716 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.22/19.41  (assume a3717 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.22/19.41  (assume a3718 (forall ((N tptp.num)) (= (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.22/19.41  (assume a3719 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num tptp.one) N)))))
% 19.22/19.41  (assume a3720 (forall ((M tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num (tptp.plus_plus_num M) tptp.one))))))
% 19.22/19.41  (assume a3721 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.plus_plus_num M) tptp.one))))))
% 19.22/19.41  (assume a3722 (forall ((M tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num (tptp.plus_plus_num M) tptp.one))))))
% 19.22/19.41  (assume a3723 (forall ((M tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num (tptp.plus_plus_num M) tptp.one))))))
% 19.22/19.41  (assume a3724 (forall ((M tptp.num)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num (tptp.plus_plus_num M) tptp.one))))))
% 19.22/19.41  (assume a3725 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a3726 (= (tptp.aa_real_real tptp.neg_numeral_dbl_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3727 (= (tptp.aa_int_int tptp.neg_numeral_dbl_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3728 (= (tptp.aa_complex_complex tptp.neg_nu7009210354673126013omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3729 (= (tptp.neg_nu8804712462038260780nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3730 (= (tptp.aa_rat_rat tptp.neg_numeral_dbl_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a3731 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_real)))
% 19.22/19.41  (assume a3732 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int)))
% 19.22/19.41  (assume a3733 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_complex)))
% 19.22/19.41  (assume a3734 (forall ((N tptp.nat)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a3735 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_rat)))
% 19.22/19.41  (assume a3736 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.41  (assume a3737 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a3738 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 19.22/19.41  (assume a3739 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a3740 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.41  (assume a3741 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) tptp.one_one_real))))
% 19.22/19.41  (assume a3742 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) tptp.one_one_int))))
% 19.22/19.41  (assume a3743 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) tptp.one_one_complex))))
% 19.22/19.41  (assume a3744 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N) tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a3745 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) tptp.one_one_rat))))
% 19.22/19.41  (assume a3746 (forall ((A tptp.code_integer)) (= (tptp.bit_ri6519982836138164636nteger tptp.zero_zero_nat A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a3747 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int tptp.zero_zero_nat) A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a3748 (forall ((A tptp.real) (B2 tptp.real)) (=> (= A B2) (= (tptp.aa_real_real tptp.uminus_uminus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))
% 19.22/19.41  (assume a3749 (forall ((A tptp.int) (B2 tptp.int)) (=> (= A B2) (= (tptp.aa_int_int tptp.uminus_uminus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)))))
% 19.22/19.41  (assume a3750 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (= A B2) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)))))
% 19.22/19.41  (assume a3751 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (= A B2) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))
% 19.22/19.41  (assume a3752 (forall ((A tptp.real) (B2 tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real B2)) (= B2 (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.22/19.41  (assume a3753 (forall ((A tptp.int) (B2 tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int B2)) (= B2 (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.22/19.41  (assume a3754 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (= B2 (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 19.22/19.41  (assume a3755 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (= B2 (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.22/19.41  (assume a3756 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (= B2 (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.22/19.41  (assume a3757 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) B2) (= (tptp.aa_real_real tptp.uminus_uminus_real B2) A))))
% 19.22/19.41  (assume a3758 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) B2) (= (tptp.aa_int_int tptp.uminus_uminus_int B2) A))))
% 19.22/19.41  (assume a3759 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B2) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2) A))))
% 19.22/19.41  (assume a3760 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2) A))))
% 19.22/19.41  (assume a3761 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B2) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat B2) A))))
% 19.22/19.41  (assume a3762 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.22/19.41  (assume a3763 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.22/19.41  (assume a3764 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.22/19.41  (assume a3765 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.22/19.41  (assume a3766 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) A)))))
% 19.22/19.41  (assume a3767 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) A)))))
% 19.22/19.41  (assume a3768 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) A)))))
% 19.22/19.41  (assume a3769 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) A)))))
% 19.22/19.41  (assume a3770 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.22/19.41  (assume a3771 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.22/19.41  (assume a3772 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.22/19.41  (assume a3773 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.22/19.41  (assume a3774 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) A)))))
% 19.22/19.41  (assume a3775 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) A)))))
% 19.22/19.41  (assume a3776 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) A)))))
% 19.22/19.41  (assume a3777 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) A)))))
% 19.22/19.41  (assume a3778 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.22/19.41  (assume a3779 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.22/19.41  (assume a3780 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.22/19.41  (assume a3781 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.22/19.41  (assume a3782 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.22/19.41  (assume a3783 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.22/19.41  (assume a3784 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.22/19.41  (assume a3785 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.22/19.41  (assume a3786 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.22/19.41  (assume a3787 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a3788 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M)) (tptp.numera6690914467698888265omplex N)))))
% 19.22/19.41  (assume a3789 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N)))))
% 19.22/19.41  (assume a3790 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.22/19.41  (assume a3791 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_num_real tptp.numeral_numeral_real M) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 19.22/19.41  (assume a3792 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a3793 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.numera6690914467698888265omplex M) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 19.22/19.41  (assume a3794 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.numera6620942414471956472nteger M) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 19.22/19.41  (assume a3795 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat M) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 19.22/19.41  (assume a3796 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))
% 19.22/19.41  (assume a3797 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)))))
% 19.22/19.41  (assume a3798 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B2) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)))))
% 19.22/19.41  (assume a3799 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)))))
% 19.22/19.41  (assume a3800 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))
% 19.22/19.41  (assume a3801 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) B2)) (or (= A B2) (= A (tptp.aa_real_real tptp.uminus_uminus_real B2))))))
% 19.22/19.41  (assume a3802 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) B2)) (or (= A B2) (= A (tptp.aa_int_int tptp.uminus_uminus_int B2))))))
% 19.22/19.41  (assume a3803 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex A) A) (tptp.aa_complex_complex (tptp.times_times_complex B2) B2)) (or (= A B2) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))))))
% 19.22/19.41  (assume a3804 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) A) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) B2)) (or (= A B2) (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2))))))
% 19.22/19.41  (assume a3805 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) B2)) (or (= A B2) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))))))
% 19.22/19.41  (assume a3806 (not (= tptp.one_one_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 19.22/19.41  (assume a3807 (not (= tptp.one_one_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.41  (assume a3808 (not (= tptp.one_one_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 19.22/19.41  (assume a3809 (not (= tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a3810 (not (= tptp.one_one_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))
% 19.22/19.41  (assume a3811 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.22/19.41  (assume a3812 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.22/19.41  (assume a3813 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 19.22/19.41  (assume a3814 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B2)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.22/19.41  (assume a3815 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.22/19.41  (assume a3816 (forall ((A3 tptp.real) (K tptp.real) (A tptp.real)) (=> (= A3 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) A)) (= (tptp.aa_real_real tptp.uminus_uminus_real A3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real K)) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.22/19.41  (assume a3817 (forall ((A3 tptp.int) (K tptp.int) (A tptp.int)) (=> (= A3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) A)) (= (tptp.aa_int_int tptp.uminus_uminus_int A3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int K)) (tptp.aa_int_int tptp.uminus_uminus_int A))))))
% 19.22/19.41  (assume a3818 (forall ((A3 tptp.complex) (K tptp.complex) (A tptp.complex)) (=> (= A3 (tptp.aa_complex_complex (tptp.plus_plus_complex K) A)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A3) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex K)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))))
% 19.22/19.41  (assume a3819 (forall ((A3 tptp.code_integer) (K tptp.code_integer) (A tptp.code_integer)) (=> (= A3 (tptp.plus_p5714425477246183910nteger K A)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A3) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))))))
% 19.22/19.41  (assume a3820 (forall ((A3 tptp.rat) (K tptp.rat) (A tptp.rat)) (=> (= A3 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) A)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat K)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.22/19.41  (assume a3821 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.22/19.41  (assume a3822 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.22/19.41  (assume a3823 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 19.22/19.41  (assume a3824 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.plus_p5714425477246183910nteger A B2)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.22/19.41  (assume a3825 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.22/19.41  (assume a3826 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2))))
% 19.22/19.41  (assume a3827 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2))))
% 19.22/19.41  (assume a3828 (forall ((B2 tptp.complex) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) A) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B2))))
% 19.22/19.41  (assume a3829 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2) A) (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2))))
% 19.22/19.41  (assume a3830 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) A) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2))))
% 19.22/19.41  (assume a3831 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)))))
% 19.22/19.41  (assume a3832 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)))))
% 19.22/19.41  (assume a3833 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2)))))
% 19.22/19.41  (assume a3834 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.minus_8373710615458151222nteger A B2)))))
% 19.22/19.41  (assume a3835 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)))))
% 19.22/19.41  (assume a3836 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2))))
% 19.22/19.41  (assume a3837 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2))))
% 19.22/19.41  (assume a3838 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))
% 19.22/19.41  (assume a3839 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)))))
% 19.22/19.41  (assume a3840 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))
% 19.22/19.41  (assume a3841 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2))))
% 19.22/19.41  (assume a3842 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))))
% 19.22/19.41  (assume a3843 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2))))
% 19.22/19.41  (assume a3844 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2))))
% 19.22/19.41  (assume a3845 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B2))))
% 19.22/19.41  (assume a3846 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2))))
% 19.22/19.41  (assume a3847 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2))) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2))))
% 19.22/19.41  (assume a3848 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger A B2)) B2) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2))))
% 19.22/19.41  (assume a3849 (forall ((A tptp.int) (B2 tptp.int) (A2 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A2) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A2)) B2)))))
% 19.22/19.41  (assume a3850 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (A2 tptp.code_integer)) (=> (= (tptp.modulo364778990260209775nteger A B2) (tptp.modulo364778990260209775nteger A2 B2)) (= (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2) (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A2) B2)))))
% 19.22/19.41  (assume a3851 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)))))
% 19.22/19.41  (assume a3852 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.modulo364778990260209775nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2)))))
% 19.22/19.41  (assume a3853 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int tptp.uminus_uminus_int K)))))
% 19.22/19.41  (assume a3854 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.22/19.41  (assume a3855 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.numera6620942414471956472nteger N)))))
% 19.22/19.41  (assume a3856 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.22/19.41  (assume a3857 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a3858 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 19.22/19.41  (assume a3859 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 19.22/19.41  (assume a3860 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 19.22/19.41  (assume a3861 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.41  (assume a3862 (forall ((N tptp.num)) (not (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 19.22/19.41  (assume a3863 (forall ((N tptp.num)) (not (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a3864 (forall ((N tptp.num)) (not (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 19.22/19.41  (assume a3865 (forall ((N tptp.num)) (not (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 19.22/19.41  (assume a3866 (forall ((N tptp.num)) (not (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 19.22/19.41  (assume a3867 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 19.22/19.41  (assume a3868 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.41  (assume a3869 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 19.22/19.41  (assume a3870 (forall ((M tptp.num) (N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 19.22/19.41  (assume a3871 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.22/19.41  (assume a3872 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a3873 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.numera6620942414471956472nteger N)))))
% 19.22/19.41  (assume a3874 (forall ((M tptp.num) (N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.22/19.41  (assume a3875 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real)))
% 19.22/19.41  (assume a3876 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a3877 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat)))
% 19.22/19.41  (assume a3878 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int)))
% 19.22/19.41  (assume a3879 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.41  (assume a3880 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a3881 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.41  (assume a3882 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a3883 (not (= tptp.zero_zero_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 19.22/19.41  (assume a3884 (not (= tptp.zero_zero_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.41  (assume a3885 (not (= tptp.zero_zero_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 19.22/19.41  (assume a3886 (not (= tptp.zero_z3403309356797280102nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a3887 (not (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))
% 19.22/19.41  (assume a3888 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real A) B2) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) tptp.zero_zero_real))))
% 19.22/19.41  (assume a3889 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int tptp.uminus_uminus_int A) B2) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) tptp.zero_zero_int))))
% 19.22/19.41  (assume a3890 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B2) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2) tptp.zero_zero_complex))))
% 19.22/19.41  (assume a3891 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2) (= (tptp.plus_p5714425477246183910nteger A B2) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a3892 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B2) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) tptp.zero_zero_rat))))
% 19.22/19.41  (assume a3893 (forall ((A tptp.real) (B2 tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) tptp.zero_zero_real))))
% 19.22/19.41  (assume a3894 (forall ((A tptp.int) (B2 tptp.int)) (= (= A (tptp.aa_int_int tptp.uminus_uminus_int B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) tptp.zero_zero_int))))
% 19.22/19.41  (assume a3895 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2) tptp.zero_zero_complex))))
% 19.22/19.41  (assume a3896 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (= (tptp.plus_p5714425477246183910nteger A B2) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a3897 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) tptp.zero_zero_rat))))
% 19.22/19.41  (assume a3898 (forall ((A tptp.real) (B2 tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real A) B2))))
% 19.22/19.41  (assume a3899 (forall ((A tptp.int) (B2 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.uminus_uminus_int A) B2))))
% 19.22/19.41  (assume a3900 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2) tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) B2))))
% 19.22/19.41  (assume a3901 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (= (tptp.plus_p5714425477246183910nteger A B2) tptp.zero_z3403309356797280102nteger) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2))))
% 19.22/19.41  (assume a3902 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) B2))))
% 19.22/19.41  (assume a3903 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) A) tptp.zero_zero_real)))
% 19.22/19.41  (assume a3904 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) A) tptp.zero_zero_int)))
% 19.22/19.41  (assume a3905 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) A) tptp.zero_zero_complex)))
% 19.22/19.41  (assume a3906 (forall ((A tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) A) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.41  (assume a3907 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) A) tptp.zero_zero_rat)))
% 19.22/19.41  (assume a3908 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) tptp.zero_zero_real) (= B2 (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.22/19.41  (assume a3909 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) tptp.zero_zero_int) (= B2 (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.22/19.41  (assume a3910 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2) tptp.zero_zero_complex) (= B2 (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)))))
% 19.22/19.41  (assume a3911 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.plus_p5714425477246183910nteger A B2) tptp.zero_z3403309356797280102nteger) (= B2 (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.22/19.41  (assume a3912 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) tptp.zero_zero_rat) (= B2 (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.22/19.41  (assume a3913 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real)))
% 19.22/19.41  (assume a3914 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int)))
% 19.22/19.41  (assume a3915 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a3916 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat)))
% 19.22/19.41  (assume a3917 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.41  (assume a3918 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a3919 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a3920 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.41  (assume a3921 (forall ((W tptp.num) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))
% 19.22/19.41  (assume a3922 (forall ((W tptp.num) (X tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_int_int tptp.uminus_uminus_int X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))))))
% 19.22/19.41  (assume a3923 (forall ((W tptp.num) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))))
% 19.22/19.41  (assume a3924 (forall ((W tptp.num) (X tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger W)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger X) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger W))))))
% 19.22/19.41  (assume a3925 (forall ((W tptp.num) (X tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))
% 19.22/19.41  (assume a3926 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2))))))
% 19.22/19.41  (assume a3927 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))))))
% 19.22/19.41  (assume a3928 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))))))
% 19.22/19.41  (assume a3929 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)))))
% 19.22/19.41  (assume a3930 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))))
% 19.22/19.41  (assume a3931 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)))))
% 19.22/19.41  (assume a3932 (forall ((N tptp.num)) (not (= tptp.one_one_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))))))
% 19.22/19.41  (assume a3933 (forall ((N tptp.num)) (not (= tptp.one_one_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a3934 (forall ((N tptp.num)) (not (= tptp.one_one_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))))))
% 19.22/19.41  (assume a3935 (forall ((N tptp.num)) (not (= tptp.one_one_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))))))
% 19.22/19.41  (assume a3936 (forall ((N tptp.num)) (not (= tptp.one_one_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))))))
% 19.22/19.41  (assume a3937 (forall ((N tptp.num)) (not (= (tptp.aa_num_real tptp.numeral_numeral_real N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.41  (assume a3938 (forall ((N tptp.num)) (not (= (tptp.aa_num_int tptp.numeral_numeral_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a3939 (forall ((N tptp.num)) (not (= (tptp.numera6690914467698888265omplex N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 19.22/19.41  (assume a3940 (forall ((N tptp.num)) (not (= (tptp.numera6620942414471956472nteger N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a3941 (forall ((N tptp.num)) (not (= (tptp.aa_num_rat tptp.numeral_numeral_rat N) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.41  (assume a3942 (forall ((X tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X) tptp.one_one_real) (or (= X tptp.one_one_real) (= X (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.22/19.41  (assume a3943 (forall ((X tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) X) tptp.one_one_int) (or (= X tptp.one_one_int) (= X (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a3944 (forall ((X tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex X) X) tptp.one_one_complex) (or (= X tptp.one_one_complex) (= X (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 19.22/19.41  (assume a3945 (forall ((X tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger X) X) tptp.one_one_Code_integer) (or (= X tptp.one_one_Code_integer) (= X (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 19.22/19.41  (assume a3946 (forall ((X tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) X) tptp.one_one_rat) (or (= X tptp.one_one_rat) (= X (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 19.22/19.41  (assume a3947 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))
% 19.22/19.41  (assume a3948 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)))))
% 19.22/19.41  (assume a3949 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)))))
% 19.22/19.41  (assume a3950 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B2) (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)))))
% 19.22/19.41  (assume a3951 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))
% 19.22/19.41  (assume a3952 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))
% 19.22/19.41  (assume a3953 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)))))
% 19.22/19.41  (assume a3954 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)))))
% 19.22/19.41  (assume a3955 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger A B2) (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)))))
% 19.22/19.41  (assume a3956 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))
% 19.22/19.41  (assume a3957 (forall ((B3 tptp.real) (K tptp.real) (B2 tptp.real) (A tptp.real)) (=> (= B3 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real K) B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))))
% 19.22/19.41  (assume a3958 (forall ((B3 tptp.int) (K tptp.int) (B2 tptp.int) (A tptp.int)) (=> (= B3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))))))
% 19.22/19.41  (assume a3959 (forall ((B3 tptp.complex) (K tptp.complex) (B2 tptp.complex) (A tptp.complex)) (=> (= B3 (tptp.aa_complex_complex (tptp.plus_plus_complex K) B2)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex A) B3) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex K)) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2))))))
% 19.22/19.41  (assume a3960 (forall ((B3 tptp.code_integer) (K tptp.code_integer) (B2 tptp.code_integer) (A tptp.code_integer)) (=> (= B3 (tptp.plus_p5714425477246183910nteger K B2)) (= (tptp.minus_8373710615458151222nteger A B3) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K) (tptp.minus_8373710615458151222nteger A B2))))))
% 19.22/19.41  (assume a3961 (forall ((B3 tptp.rat) (K tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (= B3 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat K) B2)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat A) B3) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat K)) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))))))
% 19.22/19.41  (assume a3962 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2))))))
% 19.22/19.41  (assume a3963 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.22/19.41  (assume a3964 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex B2) A)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))))))
% 19.22/19.41  (assume a3965 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (tptp.divide6298287555418463151nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.divide6298287555418463151nteger A B2))))))
% 19.22/19.41  (assume a3966 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B2) A)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2))))))
% 19.22/19.41  (assume a3967 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2))))))
% 19.22/19.41  (assume a3968 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))))
% 19.22/19.41  (assume a3969 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex B2) A)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))))))
% 19.22/19.41  (assume a3970 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)) (= (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.divide6298287555418463151nteger A B2))))))
% 19.22/19.41  (assume a3971 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat B2) A)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2))))))
% 19.22/19.41  (assume a3972 (forall ((U tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real U) U))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)))))
% 19.22/19.41  (assume a3973 (forall ((M tptp.int) (N tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M) N) tptp.one_one_int) (or (= M tptp.one_one_int) (= M (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a3974 (forall ((M tptp.int) (N tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M) N) tptp.one_one_int) (or (and (= M tptp.one_one_int) (= N tptp.one_one_int)) (and (= M (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= N (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))))
% 19.22/19.41  (assume a3975 (forall ((L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.zero_zero_int) L) (tptp.aa_int_int tptp.uminus_uminus_int L))))
% 19.22/19.41  (assume a3976 (forall ((K tptp.int) (L tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_int_int tptp.uminus_uminus_int L)) tptp.zero_zero_int)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a3977 (forall ((K tptp.int) (L tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int K)) L) tptp.zero_zero_int)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a3978 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.uminus_uminus_real Y)))))
% 19.22/19.41  (assume a3979 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 19.22/19.41  (assume a3980 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 19.22/19.41  (assume a3981 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 19.22/19.41  (assume a3982 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.41  (assume a3983 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.zero_zero_real))))
% 19.22/19.41  (assume a3984 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a3985 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.zero_zero_rat))))
% 19.22/19.41  (assume a3986 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.zero_zero_int))))
% 19.22/19.41  (assume a3987 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N)))))))
% 19.22/19.41  (assume a3988 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.41  (assume a3989 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N)))))))
% 19.22/19.41  (assume a3990 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))))
% 19.22/19.41  (assume a3991 (forall ((N tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.zero_zero_real))))
% 19.22/19.41  (assume a3992 (forall ((N tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.zero_zero_int))))
% 19.22/19.41  (assume a3993 (forall ((N tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a3994 (forall ((N tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.zero_zero_rat))))
% 19.22/19.41  (assume a3995 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.41  (assume a3996 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a3997 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.41  (assume a3998 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a3999 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real)))
% 19.22/19.41  (assume a4000 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.41  (assume a4001 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.zero_zero_rat)))
% 19.22/19.41  (assume a4002 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4003 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.41  (assume a4004 (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a4005 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a4006 (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.41  (assume a4007 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.zero_zero_real)))
% 19.22/19.41  (assume a4008 (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4009 (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.41  (assume a4010 (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.zero_zero_rat)))
% 19.22/19.41  (assume a4011 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M)))))))
% 19.22/19.41  (assume a4012 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)))))))
% 19.22/19.41  (assume a4013 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)))))))
% 19.22/19.41  (assume a4014 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)))))))
% 19.22/19.41  (assume a4015 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.22/19.41  (assume a4016 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 19.22/19.41  (assume a4017 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 19.22/19.41  (assume a4018 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a4019 (forall ((M tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.41  (assume a4020 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a4021 (forall ((M tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.41  (assume a4022 (forall ((M tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a4023 (forall ((M tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real M)))))
% 19.22/19.41  (assume a4024 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger M)))))
% 19.22/19.41  (assume a4025 (forall ((M tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat M)))))
% 19.22/19.41  (assume a4026 (forall ((M tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int M)))))
% 19.22/19.41  (assume a4027 (forall ((M tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) tptp.one_one_real))))
% 19.22/19.41  (assume a4028 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a4029 (forall ((M tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) tptp.one_one_rat))))
% 19.22/19.41  (assume a4030 (forall ((M tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) tptp.one_one_int))))
% 19.22/19.41  (assume a4031 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M)))))))
% 19.22/19.41  (assume a4032 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)))))))
% 19.22/19.41  (assume a4033 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)))))))
% 19.22/19.41  (assume a4034 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)))))))
% 19.22/19.41  (assume a4035 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M)))))))
% 19.22/19.41  (assume a4036 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)))))))
% 19.22/19.41  (assume a4037 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)))))))
% 19.22/19.41  (assume a4038 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)))))))
% 19.22/19.41  (assume a4039 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.22/19.41  (assume a4040 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a4041 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 19.22/19.41  (assume a4042 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 19.22/19.41  (assume a4043 (forall ((M tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real M)))))
% 19.22/19.41  (assume a4044 (forall ((M tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int M)))))
% 19.22/19.41  (assume a4045 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger M)))))
% 19.22/19.41  (assume a4046 (forall ((M tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat M)))))
% 19.22/19.41  (assume a4047 (forall ((M tptp.num)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) tptp.one_one_real))))
% 19.22/19.41  (assume a4048 (forall ((M tptp.num)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) tptp.one_one_int))))
% 19.22/19.41  (assume a4049 (forall ((M tptp.num)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M))) tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a4050 (forall ((M tptp.num)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) tptp.one_one_rat))))
% 19.22/19.41  (assume a4051 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (= A (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C) (tptp.aa_real_real tptp.uminus_uminus_real B2))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.22/19.41  (assume a4052 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex)) (= (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C))) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) C) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.22/19.41  (assume a4053 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.22/19.41  (assume a4054 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) A) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.uminus_uminus_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C))) (=> (= C tptp.zero_zero_real) (= A tptp.zero_zero_real))))))
% 19.22/19.41  (assume a4055 (forall ((B2 tptp.complex) (C tptp.complex) (A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) A) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2) (tptp.aa_complex_complex (tptp.times_times_complex A) C))) (=> (= C tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))))
% 19.22/19.41  (assume a4056 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) A) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C))) (=> (= C tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))))
% 19.22/19.41  (assume a4057 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) C) (= (tptp.aa_real_real tptp.uminus_uminus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2))))))
% 19.22/19.41  (assume a4058 (forall ((B2 tptp.complex) (A tptp.complex) (C tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) C) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A) (tptp.aa_complex_complex (tptp.times_times_complex C) B2))))))
% 19.22/19.41  (assume a4059 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) C) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2))))))
% 19.22/19.41  (assume a4060 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (= C (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) B2) (tptp.aa_real_real tptp.uminus_uminus_real A))))))
% 19.22/19.41  (assume a4061 (forall ((B2 tptp.complex) (C tptp.complex) (A tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (= C (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))) (= (tptp.aa_complex_complex (tptp.times_times_complex C) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A))))))
% 19.22/19.41  (assume a4062 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (= C (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2))) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))))))
% 19.22/19.41  (assume a4063 (forall ((B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one))) (tptp.aa_real_real tptp.uminus_uminus_real B2))))
% 19.22/19.41  (assume a4064 (forall ((B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int B2))))
% 19.22/19.41  (assume a4065 (forall ((B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))))
% 19.22/19.41  (assume a4066 (forall ((B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2))))
% 19.22/19.41  (assume a4067 (forall ((B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one))) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))))
% 19.22/19.41  (assume a4068 (forall ((B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one))) B2) (tptp.aa_real_real tptp.uminus_uminus_real B2))))
% 19.22/19.41  (assume a4069 (forall ((B2 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one))) B2) (tptp.aa_int_int tptp.uminus_uminus_int B2))))
% 19.22/19.41  (assume a4070 (forall ((B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one))) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))))
% 19.22/19.41  (assume a4071 (forall ((B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one))) B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2))))
% 19.22/19.41  (assume a4072 (forall ((B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one))) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))))
% 19.22/19.41  (assume a4073 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (and (not (= B2 tptp.zero_zero_real)) (= A (tptp.aa_real_real tptp.uminus_uminus_real B2))))))
% 19.22/19.41  (assume a4074 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (and (not (= B2 tptp.zero_zero_complex)) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))))))
% 19.22/19.41  (assume a4075 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (and (not (= B2 tptp.zero_zero_rat)) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))))))
% 19.22/19.41  (assume a4076 (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.41  (assume a4077 (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 19.22/19.41  (assume a4078 (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex tptp.one)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.41  (assume a4079 (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger tptp.one)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a4080 (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))
% 19.22/19.41  (assume a4081 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.22/19.41  (assume a4082 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.22/19.41  (assume a4083 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.22/19.41  (assume a4084 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N)) (tptp.power_8256067586552552935nteger A N)))))
% 19.22/19.41  (assume a4085 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.22/19.41  (assume a4086 (forall ((X tptp.real) (K tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.41  (assume a4087 (forall ((X tptp.int) (K tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.41  (assume a4088 (forall ((X tptp.complex) (K tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.41  (assume a4089 (forall ((X tptp.code_integer) (K tptp.num)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.41  (assume a4090 (forall ((X tptp.rat) (K tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.41  (assume a4091 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real tptp.uminus_uminus_real X))))))
% 19.22/19.41  (assume a4092 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real X)) Y)))))
% 19.22/19.41  (assume a4093 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real X)) Y)))))
% 19.22/19.41  (assume a4094 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.uminus_uminus_real X))))))
% 19.22/19.41  (assume a4095 (forall ((A tptp.int) (B2 tptp.int)) (and (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) tptp.zero_zero_int)) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)) B2))))))
% 19.22/19.41  (assume a4096 (forall ((A tptp.int) (B2 tptp.int)) (and (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) tptp.zero_zero_int)) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2)))))))
% 19.22/19.41  (assume a4097 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.41  (assume a4098 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.41  (assume a4099 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))))
% 19.22/19.41  (assume a4100 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))))
% 19.22/19.41  (assume a4101 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))))
% 19.22/19.41  (assume a4102 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))))
% 19.22/19.41  (assume a4103 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.41  (assume a4104 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.41  (assume a4105 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) A)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))))))
% 19.22/19.41  (assume a4106 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) A)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))))))
% 19.22/19.41  (assume a4107 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))))))
% 19.22/19.41  (assume a4108 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))))))
% 19.22/19.41  (assume a4109 (forall ((B2 tptp.real) (C tptp.real) (W tptp.num)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (and (=> (not (= C tptp.zero_zero_real)) (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C))) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 19.22/19.41  (assume a4110 (forall ((B2 tptp.complex) (C tptp.complex) (W tptp.num)) (= (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (and (=> (not (= C tptp.zero_zero_complex)) (= B2 (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) C))) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 19.22/19.41  (assume a4111 (forall ((B2 tptp.rat) (C tptp.rat) (W tptp.num)) (= (= (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (and (=> (not (= C tptp.zero_zero_rat)) (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C))) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat))))))
% 19.22/19.41  (assume a4112 (forall ((W tptp.num) (B2 tptp.real) (C tptp.real)) (= (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (and (=> (not (= C tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C) B2)) (=> (= C tptp.zero_zero_real) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)) tptp.zero_zero_real))))))
% 19.22/19.41  (assume a4113 (forall ((W tptp.num) (B2 tptp.complex) (C tptp.complex)) (= (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) C)) (and (=> (not (= C tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) C) B2)) (=> (= C tptp.zero_zero_complex) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)) tptp.zero_zero_complex))))))
% 19.22/19.41  (assume a4114 (forall ((W tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (and (=> (not (= C tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C) B2)) (=> (= C tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) tptp.zero_zero_rat))))))
% 19.22/19.41  (assume a4115 (forall ((Z tptp.real) (A tptp.real) (B2 tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z))) B2) B2)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z))) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) Z))) Z))))))
% 19.22/19.41  (assume a4116 (forall ((Z tptp.complex) (A tptp.complex) (B2 tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z))) B2) B2)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z))) B2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex (tptp.times_times_complex B2) Z))) Z))))))
% 19.22/19.41  (assume a4117 (forall ((Z tptp.rat) (A tptp.rat) (B2 tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z))) B2) B2)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z))) B2) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) Z))) Z))))))
% 19.22/19.41  (assume a4118 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z))) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 19.22/19.41  (assume a4119 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z))) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 19.22/19.41  (assume a4120 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Z))) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) Z)))))
% 19.22/19.41  (assume a4121 (forall ((Z tptp.real) (A tptp.real) (B2 tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z))) B2) (tptp.aa_real_real tptp.uminus_uminus_real B2))) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z))) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) Z))) Z))))))
% 19.22/19.41  (assume a4122 (forall ((Z tptp.complex) (A tptp.complex) (B2 tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z))) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z))) B2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex (tptp.times_times_complex B2) Z))) Z))))))
% 19.22/19.41  (assume a4123 (forall ((Z tptp.rat) (A tptp.rat) (B2 tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z))) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z))) B2) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) Z))) Z))))))
% 19.22/19.41  (assume a4124 (forall ((Z tptp.real) (A tptp.real) (B2 tptp.real)) (and (=> (= Z tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z)) B2) (tptp.aa_real_real tptp.uminus_uminus_real B2))) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) Z)) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) Z))) Z))))))
% 19.22/19.41  (assume a4125 (forall ((Z tptp.complex) (A tptp.complex) (B2 tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2))) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) Z)) B2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_complex_complex (tptp.times_times_complex B2) Z))) Z))))))
% 19.22/19.41  (assume a4126 (forall ((Z tptp.rat) (A tptp.rat) (B2 tptp.rat)) (and (=> (= Z tptp.zero_zero_rat) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z)) B2) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2))) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) Z)) B2) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) Z))) Z))))))
% 19.22/19.41  (assume a4127 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (not (= Z tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Z))) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) Z)))))
% 19.22/19.41  (assume a4128 (forall ((Z tptp.complex) (X tptp.complex) (Y tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Z))) Y) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex Y) Z))) Z)))))
% 19.22/19.41  (assume a4129 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (not (= Z tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Z))) Y) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) Z)))))
% 19.22/19.41  (assume a4130 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.uminus_uminus_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 19.22/19.41  (assume a4131 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))
% 19.22/19.41  (assume a4132 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_real_real tptp.uminus_uminus_real Y))))))
% 19.22/19.41  (assume a4133 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_int_int tptp.uminus_uminus_int Y))))))
% 19.22/19.41  (assume a4134 (forall ((X tptp.complex) (Y tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Y))))))
% 19.22/19.41  (assume a4135 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (= (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.power_8256067586552552935nteger Y (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Y))))))
% 19.22/19.41  (assume a4136 (forall ((X tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (or (= X Y) (= X (tptp.aa_rat_rat tptp.uminus_uminus_rat Y))))))
% 19.22/19.41  (assume a4137 (forall ((A3 tptp.int) (B3 tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A3) B3)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B3) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A3) N)))))))
% 19.22/19.41  (assume a4138 (forall ((B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) B2) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.41  (assume a4139 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.41  (assume a4140 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.41  (assume a4141 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))))
% 19.22/19.41  (assume a4142 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))))
% 19.22/19.41  (assume a4143 (forall ((C tptp.real) (B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))))))
% 19.22/19.41  (assume a4144 (forall ((C tptp.rat) (B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))))
% 19.22/19.41  (assume a4145 (forall ((C tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))))))
% 19.22/19.41  (assume a4146 (forall ((C tptp.rat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))))))
% 19.22/19.41  (assume a4147 (forall ((B2 tptp.real) (C tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) A)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))))))
% 19.22/19.41  (assume a4148 (forall ((B2 tptp.rat) (C tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) A)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))))))
% 19.22/19.41  (assume a4149 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real tptp.uminus_uminus_real B2)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))))))
% 19.22/19.41  (assume a4150 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))))))
% 19.22/19.41  (assume a4151 (forall ((W tptp.num) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) tptp.zero_zero_real)))))))))
% 19.22/19.41  (assume a4152 (forall ((W tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) tptp.zero_zero_rat)))))))))
% 19.22/19.41  (assume a4153 (forall ((B2 tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))))))))))
% 19.22/19.41  (assume a4154 (forall ((B2 tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))))))
% 19.22/19.41  (assume a4155 (forall ((A tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (or (= A tptp.one_one_real) (= A (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.22/19.41  (assume a4156 (forall ((A tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int) (or (= A tptp.one_one_int) (= A (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a4157 (forall ((A tptp.complex)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex) (or (= A tptp.one_one_complex) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 19.22/19.41  (assume a4158 (forall ((A tptp.code_integer)) (= (= (tptp.power_8256067586552552935nteger A (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer) (or (= A tptp.one_one_Code_integer) (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 19.22/19.41  (assume a4159 (forall ((A tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_rat) (or (= A tptp.one_one_rat) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 19.22/19.41  (assume a4160 (forall ((N tptp.nat) (A tptp.real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))))
% 19.22/19.41  (assume a4161 (forall ((N tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int A) N)))))))
% 19.22/19.41  (assume a4162 (forall ((N tptp.nat) (A tptp.complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_nat_complex (tptp.power_power_complex A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))))
% 19.22/19.41  (assume a4163 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N) (tptp.power_8256067586552552935nteger A N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.power_8256067586552552935nteger A N)))))))
% 19.22/19.41  (assume a4164 (forall ((N tptp.nat) (A tptp.rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_nat_rat (tptp.power_power_rat A) N))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))))
% 19.22/19.41  (assume a4165 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.41  (assume a4166 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.41  (assume a4167 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.41  (assume a4168 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K)) (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.41  (assume a4169 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.41  (assume a4170 (forall ((U tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real U) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a4171 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int K)) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int L) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int)) L))))))
% 19.22/19.41  (assume a4172 (forall ((B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) tptp.one_one_int)))))
% 19.22/19.41  (assume a4173 (forall ((B2 tptp.int) (A tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (and (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) tptp.one_one_int)))))))
% 19.22/19.41  (assume a4174 (forall ((B2 tptp.int) (A tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (and (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)))) (=> (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) B2) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int tptp.uminus_uminus_int B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) tptp.one_one_int)))))))
% 19.22/19.41  (assume a4175 (forall ((W tptp.num) (B2 tptp.real) (C tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) tptp.zero_zero_real)))))))))
% 19.22/19.41  (assume a4176 (forall ((W tptp.num) (B2 tptp.rat) (C tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) tptp.zero_zero_rat)))))))))
% 19.22/19.41  (assume a4177 (forall ((B2 tptp.real) (C tptp.real) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) C)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) tptp.zero_zero_real))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))))))))))
% 19.22/19.41  (assume a4178 (forall ((B2 tptp.rat) (C tptp.rat) (W tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat B2) C)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) C))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) C)) B2))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) tptp.zero_zero_rat))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))))))))
% 19.22/19.41  (assume a4179 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 19.22/19.41  (assume a4180 (forall ((X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) X)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger X) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer))))))
% 19.22/19.41  (assume a4181 (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_rat))))))
% 19.22/19.41  (assume a4182 (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))))
% 19.22/19.41  (assume a4183 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4184 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4185 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) N)) (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4186 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N)) (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N)) (tptp.power_8256067586552552935nteger A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4187 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N)) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4188 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.22/19.41  (assume a4189 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a4190 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) tptp.one_one_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))))
% 19.22/19.41  (assume a4191 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N) tptp.one_one_Code_integer)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 19.22/19.41  (assume a4192 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) tptp.one_one_rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 19.22/19.41  (assume a4193 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.41  (assume a4194 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L)) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a4195 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K)))))
% 19.22/19.41  (assume a4196 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)))))
% 19.22/19.41  (assume a4197 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.22/19.41  (assume a4198 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))
% 19.22/19.41  (assume a4199 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.41  (assume a4200 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex))))
% 19.22/19.41  (assume a4201 (forall ((N tptp.nat)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a4202 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))
% 19.22/19.41  (assume a4203 (forall ((P tptp.fun_int_bool) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)) (=> (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (=> (forall ((K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P K2)) (=> (not (= K2 tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (=> (forall ((K2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool P K2)) (=> (not (= K2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (tptp.pp (tptp.aa_int_bool P K))))))))
% 19.22/19.41  (assume a4204 (forall ((N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) K)))))
% 19.22/19.41  (assume a4205 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) K) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.22/19.41  (assume a4206 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))))))
% 19.22/19.41  (assume a4207 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 19.22/19.41  (assume a4208 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Z)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) Z))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))))))
% 19.22/19.41  (assume a4209 (forall ((Z tptp.int) (X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))))))
% 19.22/19.41  (assume a4210 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat X) (tptp.uminus5710092332889474511et_nat Y)) (tptp.ord_less_eq_set_nat Y X))))
% 19.22/19.41  (assume a4211 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4212 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat tptp.suc N) K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_concat_bit N (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) L))))))
% 19.22/19.41  (assume a4213 (forall ((A tptp.code_integer)) (= (tptp.bit_se1345352211410354436nteger tptp.zero_zero_nat A) (tptp.plus_p5714425477246183910nteger (tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a4214 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int tptp.zero_zero_nat) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a4215 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat tptp.zero_zero_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a4216 (forall ((X tptp.nat)) (= (tptp.member_nat tptp.zero_zero_nat (tptp.aa_nat_set_nat tptp.nat_set_decode X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X))))))
% 19.22/19.41  (assume a4217 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (= M N))))
% 19.22/19.41  (assume a4218 (forall ((X32 tptp.num) (Y32 tptp.num)) (= (= (tptp.aa_num_num tptp.bit1 X32) (tptp.aa_num_num tptp.bit1 Y32)) (= X32 Y32))))
% 19.22/19.41  (assume a4219 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)))))
% 19.22/19.41  (assume a4220 (forall ((M tptp.num) (N tptp.num)) (not (= (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N)))))
% 19.22/19.41  (assume a4221 (forall ((N tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit1 N)))))
% 19.22/19.41  (assume a4222 (forall ((M tptp.num)) (not (= (tptp.aa_num_num tptp.bit1 M) tptp.one))))
% 19.22/19.41  (assume a4223 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.zero_n2052037380579107095ol_rat P)) (tptp.zero_n2052037380579107095ol_rat Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 19.22/19.41  (assume a4224 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2687167440665602831ol_nat Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 19.22/19.41  (assume a4225 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 19.22/19.41  (assume a4226 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger Q))) (=> (tptp.pp P) (tptp.pp Q)))))
% 19.22/19.41  (assume a4227 (forall ((P tptp.bool)) (= (= (tptp.zero_n3304061248610475627l_real P) tptp.zero_zero_real) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4228 (forall ((P tptp.bool)) (= (= (tptp.zero_n2052037380579107095ol_rat P) tptp.zero_zero_rat) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4229 (forall ((P tptp.bool)) (= (= (tptp.zero_n2687167440665602831ol_nat P) tptp.zero_zero_nat) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4230 (forall ((P tptp.bool)) (= (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P) tptp.zero_zero_int) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4231 (forall ((P tptp.bool)) (= (= (tptp.zero_n356916108424825756nteger P) tptp.zero_z3403309356797280102nteger) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4232 (= (tptp.zero_n3304061248610475627l_real tptp.fFalse) tptp.zero_zero_real))
% 19.22/19.41  (assume a4233 (= (tptp.zero_n2052037380579107095ol_rat tptp.fFalse) tptp.zero_zero_rat))
% 19.22/19.41  (assume a4234 (= (tptp.zero_n2687167440665602831ol_nat tptp.fFalse) tptp.zero_zero_nat))
% 19.22/19.41  (assume a4235 (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int tptp.fFalse) tptp.zero_zero_int))
% 19.22/19.41  (assume a4236 (= (tptp.zero_n356916108424825756nteger tptp.fFalse) tptp.zero_z3403309356797280102nteger))
% 19.22/19.41  (assume a4237 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.zero_n3304061248610475627l_real P)) (tptp.zero_n3304061248610475627l_real Q))) (and (not (tptp.pp P)) (tptp.pp Q)))))
% 19.22/19.41  (assume a4238 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.zero_n2052037380579107095ol_rat P)) (tptp.zero_n2052037380579107095ol_rat Q))) (and (not (tptp.pp P)) (tptp.pp Q)))))
% 19.22/19.41  (assume a4239 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2687167440665602831ol_nat Q))) (and (not (tptp.pp P)) (tptp.pp Q)))))
% 19.22/19.41  (assume a4240 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int Q))) (and (not (tptp.pp P)) (tptp.pp Q)))))
% 19.22/19.41  (assume a4241 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger Q))) (and (not (tptp.pp P)) (tptp.pp Q)))))
% 19.22/19.41  (assume a4242 (= (tptp.zero_n1201886186963655149omplex tptp.fTrue) tptp.one_one_complex))
% 19.22/19.41  (assume a4243 (= (tptp.zero_n3304061248610475627l_real tptp.fTrue) tptp.one_one_real))
% 19.22/19.41  (assume a4244 (= (tptp.zero_n2052037380579107095ol_rat tptp.fTrue) tptp.one_one_rat))
% 19.22/19.41  (assume a4245 (= (tptp.zero_n2687167440665602831ol_nat tptp.fTrue) tptp.one_one_nat))
% 19.22/19.41  (assume a4246 (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int tptp.fTrue) tptp.one_one_int))
% 19.22/19.41  (assume a4247 (= (tptp.zero_n356916108424825756nteger tptp.fTrue) tptp.one_one_Code_integer))
% 19.22/19.41  (assume a4248 (forall ((P tptp.bool)) (= (= (tptp.zero_n1201886186963655149omplex P) tptp.one_one_complex) (tptp.pp P))))
% 19.22/19.41  (assume a4249 (forall ((P tptp.bool)) (= (= (tptp.zero_n3304061248610475627l_real P) tptp.one_one_real) (tptp.pp P))))
% 19.22/19.41  (assume a4250 (forall ((P tptp.bool)) (= (= (tptp.zero_n2052037380579107095ol_rat P) tptp.one_one_rat) (tptp.pp P))))
% 19.22/19.41  (assume a4251 (forall ((P tptp.bool)) (= (= (tptp.zero_n2687167440665602831ol_nat P) tptp.one_one_nat) (tptp.pp P))))
% 19.22/19.41  (assume a4252 (forall ((P tptp.bool)) (= (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P) tptp.one_one_int) (tptp.pp P))))
% 19.22/19.41  (assume a4253 (forall ((P tptp.bool)) (= (= (tptp.zero_n356916108424825756nteger P) tptp.one_one_Code_integer) (tptp.pp P))))
% 19.22/19.41  (assume a4254 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit tptp.zero_zero_nat K) L) L)))
% 19.22/19.41  (assume a4255 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.22/19.41  (assume a4256 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.22/19.41  (assume a4257 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.zero_n3304061248610475627l_real P))) (tptp.pp P))))
% 19.22/19.41  (assume a4258 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.zero_n2052037380579107095ol_rat P))) (tptp.pp P))))
% 19.22/19.41  (assume a4259 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.zero_n2687167440665602831ol_nat P))) (tptp.pp P))))
% 19.22/19.41  (assume a4260 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P))) (tptp.pp P))))
% 19.22/19.41  (assume a4261 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.zero_n356916108424825756nteger P))) (tptp.pp P))))
% 19.22/19.41  (assume a4262 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.zero_n3304061248610475627l_real P)) tptp.one_one_real)) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4263 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.zero_n2052037380579107095ol_rat P)) tptp.one_one_rat)) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4264 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.zero_n2687167440665602831ol_nat P)) tptp.one_one_nat)) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4265 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) tptp.one_one_int)) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4266 (forall ((P tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.zero_n356916108424825756nteger P)) tptp.one_one_Code_integer)) (not (tptp.pp P)))))
% 19.22/19.41  (assume a4267 (forall ((P tptp.bool)) (= (tptp.zero_n1201886186963655149omplex (tptp.aa_bool_bool tptp.fNot P)) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.zero_n1201886186963655149omplex P)))))
% 19.22/19.41  (assume a4268 (forall ((P tptp.bool)) (= (tptp.zero_n3304061248610475627l_real (tptp.aa_bool_bool tptp.fNot P)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.zero_n3304061248610475627l_real P)))))
% 19.22/19.41  (assume a4269 (forall ((P tptp.bool)) (= (tptp.zero_n2052037380579107095ol_rat (tptp.aa_bool_bool tptp.fNot P)) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.zero_n2052037380579107095ol_rat P)))))
% 19.22/19.41  (assume a4270 (forall ((P tptp.bool)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot P)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int tptp.one_one_int) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)))))
% 19.22/19.41  (assume a4271 (forall ((P tptp.bool)) (= (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot P)) (tptp.minus_8373710615458151222nteger tptp.one_one_Code_integer (tptp.zero_n356916108424825756nteger P)))))
% 19.22/19.41  (assume a4272 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))
% 19.22/19.41  (assume a4273 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.22/19.41  (assume a4274 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.plus_plus_num M) N)))))
% 19.22/19.41  (assume a4275 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.times_times_num (tptp.aa_num_num tptp.bit1 M)) N)))))
% 19.22/19.41  (assume a4276 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.times_times_num M) (tptp.aa_num_num tptp.bit1 N))))))
% 19.22/19.41  (assume a4277 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.22/19.41  (assume a4278 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.22/19.41  (assume a4279 (forall ((M tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit1 M)) tptp.one)))))
% 19.22/19.41  (assume a4280 (forall ((N tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num tptp.one) (tptp.aa_num_num tptp.bit1 N)))))
% 19.22/19.41  (assume a4281 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_concat_bit N K) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L)))))
% 19.22/19.41  (assume a4282 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4283 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W)))))
% 19.22/19.41  (assume a4284 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 N))))
% 19.22/19.41  (assume a4285 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.plus_plus_num N) tptp.one)))))
% 19.22/19.41  (assume a4286 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.bit0 M)) tptp.one) (tptp.aa_num_num tptp.bit1 M))))
% 19.22/19.41  (assume a4287 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M)) tptp.one) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.plus_plus_num M) tptp.one)))))
% 19.22/19.41  (assume a4288 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num (tptp.plus_plus_num M) N)) tptp.one)))))
% 19.22/19.41  (assume a4289 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num (tptp.plus_plus_num M) N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.times_times_num M) N)))))))
% 19.22/19.41  (assume a4290 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)))))
% 19.22/19.41  (assume a4291 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)))))
% 19.22/19.41  (assume a4292 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n2687167440665602831ol_nat P2)))) (tptp.pp P2))))
% 19.22/19.41  (assume a4293 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2)))) (tptp.pp P2))))
% 19.22/19.41  (assume a4294 (forall ((P2 tptp.bool)) (= (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger P2)))) (tptp.pp P2))))
% 19.22/19.41  (assume a4295 (forall ((B2 tptp.bool)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.zero_n2687167440665602831ol_nat B2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4296 (forall ((B2 tptp.bool)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B2)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4297 (forall ((B2 tptp.bool)) (= (tptp.divide6298287555418463151nteger (tptp.zero_n356916108424825756nteger B2) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.41  (assume a4298 (forall ((M tptp.nat) (V tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M)))) (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M)) (tptp.aa_num_nat tptp.numeral_numeral_nat V)))))
% 19.22/19.41  (assume a4299 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) N)))))
% 19.22/19.41  (assume a4300 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) N)))))
% 19.22/19.41  (assume a4301 (forall ((M tptp.nat) (V tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M)))) (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M)) (tptp.aa_num_nat tptp.numeral_numeral_nat V)))))
% 19.22/19.41  (assume a4302 (forall ((N tptp.nat) (X tptp.nat)) (= (tptp.member_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_set_nat tptp.nat_set_decode X)) (tptp.member_nat N (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a4303 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4304 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4305 (forall ((N tptp.nat)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4306 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4307 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4308 (forall ((N tptp.nat)) (= (tptp.divide6298287555418463151nteger tptp.one_one_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4309 (forall ((V tptp.num) (W tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 V))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int W)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4310 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4311 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4312 (forall ((N tptp.nat)) (= (tptp.modulo364778990260209775nteger tptp.one_one_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4313 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4314 (forall ((P2 tptp.bool) (Q2 tptp.bool)) (= (= (tptp.zero_n2687167440665602831ol_nat P2) (tptp.zero_n2687167440665602831ol_nat Q2)) (= (tptp.pp P2) (tptp.pp Q2)))))
% 19.22/19.41  (assume a4315 (forall ((P2 tptp.bool) (Q2 tptp.bool)) (= (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int Q2)) (= (tptp.pp P2) (tptp.pp Q2)))))
% 19.22/19.41  (assume a4316 (forall ((P2 tptp.bool) (Q2 tptp.bool)) (= (= (tptp.zero_n356916108424825756nteger P2) (tptp.zero_n356916108424825756nteger Q2)) (= (tptp.pp P2) (tptp.pp Q2)))))
% 19.22/19.41  (assume a4317 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n3304061248610475627l_real (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.zero_n3304061248610475627l_real P)) (tptp.zero_n3304061248610475627l_real Q)))))
% 19.22/19.41  (assume a4318 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n2052037380579107095ol_rat (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.zero_n2052037380579107095ol_rat P)) (tptp.zero_n2052037380579107095ol_rat Q)))))
% 19.22/19.41  (assume a4319 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2687167440665602831ol_nat Q)))))
% 19.22/19.41  (assume a4320 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int Q)))))
% 19.22/19.41  (assume a4321 (forall ((P tptp.bool) (Q tptp.bool)) (= (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool (tptp.fconj P) Q)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger Q)))))
% 19.22/19.41  (assume a4322 (forall ((X22 tptp.num) (X32 tptp.num)) (not (= (tptp.aa_num_num tptp.bit0 X22) (tptp.aa_num_num tptp.bit1 X32)))))
% 19.22/19.41  (assume a4323 (forall ((X32 tptp.num)) (not (= tptp.one (tptp.aa_num_num tptp.bit1 X32)))))
% 19.22/19.41  (assume a4324 (forall ((N tptp.nat) (K tptp.int) (M tptp.nat) (L tptp.int) (R2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) (tptp.aa_int_int (tptp.bit_concat_bit M L) R2)) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N) (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) R2))))
% 19.22/19.41  (assume a4325 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat tptp.nat_set_decode M) (tptp.aa_nat_set_nat tptp.nat_set_decode N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.41  (assume a4326 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.zero_n3304061248610475627l_real P)))))
% 19.22/19.41  (assume a4327 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.zero_n2052037380579107095ol_rat P)))))
% 19.22/19.41  (assume a4328 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.zero_n2687167440665602831ol_nat P)))))
% 19.22/19.41  (assume a4329 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)))))
% 19.22/19.41  (assume a4330 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.zero_n356916108424825756nteger P)))))
% 19.22/19.41  (assume a4331 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.zero_n3304061248610475627l_real P)) tptp.one_one_real))))
% 19.22/19.41  (assume a4332 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.zero_n2052037380579107095ol_rat P)) tptp.one_one_rat))))
% 19.22/19.41  (assume a4333 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.zero_n2687167440665602831ol_nat P)) tptp.one_one_nat))))
% 19.22/19.41  (assume a4334 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) tptp.one_one_int))))
% 19.22/19.41  (assume a4335 (forall ((P tptp.bool)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.zero_n356916108424825756nteger P)) tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a4336 (forall ((P tptp.fun_complex_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_complex_bool P (tptp.zero_n1201886186963655149omplex P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_complex_bool P tptp.one_one_complex)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_complex_bool P tptp.zero_zero_complex)))))))))
% 19.22/19.41  (assume a4337 (forall ((P tptp.fun_real_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_real_bool P (tptp.zero_n3304061248610475627l_real P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_real_bool P tptp.one_one_real)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real)))))))))
% 19.22/19.41  (assume a4338 (forall ((P tptp.fun_rat_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool P (tptp.zero_n2052037380579107095ol_rat P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_rat_bool P tptp.one_one_rat)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_rat_bool P tptp.zero_zero_rat)))))))))
% 19.22/19.41  (assume a4339 (forall ((P tptp.fun_nat_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.zero_n2687167440665602831ol_nat P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))))))))
% 19.22/19.41  (assume a4340 (forall ((P tptp.fun_int_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_int_bool P tptp.one_one_int)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))))
% 19.22/19.41  (assume a4341 (forall ((P tptp.fun_Co8822979462182099027r_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool P (tptp.zero_n356916108424825756nteger P2))) (not (or (and (tptp.pp P2) (not (tptp.pp (tptp.aa_Code_integer_bool P tptp.one_one_Code_integer)))) (and (not (tptp.pp P2)) (not (tptp.pp (tptp.aa_Code_integer_bool P tptp.zero_z3403309356797280102nteger)))))))))
% 19.22/19.41  (assume a4342 (forall ((P tptp.fun_complex_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_complex_bool P (tptp.zero_n1201886186963655149omplex P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_complex_bool P tptp.one_one_complex))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_complex_bool P tptp.zero_zero_complex)))))))
% 19.22/19.41  (assume a4343 (forall ((P tptp.fun_real_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_real_bool P (tptp.zero_n3304061248610475627l_real P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_real_bool P tptp.one_one_real))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real)))))))
% 19.22/19.41  (assume a4344 (forall ((P tptp.fun_rat_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_rat_bool P (tptp.zero_n2052037380579107095ol_rat P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_rat_bool P tptp.one_one_rat))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_rat_bool P tptp.zero_zero_rat)))))))
% 19.22/19.41  (assume a4345 (forall ((P tptp.fun_nat_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.zero_n2687167440665602831ol_nat P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_nat_bool P tptp.one_one_nat))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))))))
% 19.22/19.41  (assume a4346 (forall ((P tptp.fun_int_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_int_bool P tptp.one_one_int))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))
% 19.22/19.41  (assume a4347 (forall ((P tptp.fun_Co8822979462182099027r_bool) (P2 tptp.bool)) (= (tptp.pp (tptp.aa_Code_integer_bool P (tptp.zero_n356916108424825756nteger P2))) (and (=> (tptp.pp P2) (tptp.pp (tptp.aa_Code_integer_bool P tptp.one_one_Code_integer))) (=> (not (tptp.pp P2)) (tptp.pp (tptp.aa_Code_integer_bool P tptp.zero_z3403309356797280102nteger)))))))
% 19.22/19.41  (assume a4348 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n1201886186963655149omplex P2) tptp.one_one_complex)) (=> (not (tptp.pp P2)) (= (tptp.zero_n1201886186963655149omplex P2) tptp.zero_zero_complex)))))
% 19.22/19.41  (assume a4349 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n3304061248610475627l_real P2) tptp.one_one_real)) (=> (not (tptp.pp P2)) (= (tptp.zero_n3304061248610475627l_real P2) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4350 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n2052037380579107095ol_rat P2) tptp.one_one_rat)) (=> (not (tptp.pp P2)) (= (tptp.zero_n2052037380579107095ol_rat P2) tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a4351 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n2687167440665602831ol_nat P2) tptp.one_one_nat)) (=> (not (tptp.pp P2)) (= (tptp.zero_n2687167440665602831ol_nat P2) tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4352 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2) tptp.one_one_int)) (=> (not (tptp.pp P2)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P2) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4353 (forall ((P2 tptp.bool)) (and (=> (tptp.pp P2) (= (tptp.zero_n356916108424825756nteger P2) tptp.one_one_Code_integer)) (=> (not (tptp.pp P2)) (= (tptp.zero_n356916108424825756nteger P2) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.41  (assume a4354 (forall ((Y tptp.num)) (=> (not (= Y tptp.one)) (=> (forall ((X23 tptp.num)) (not (= Y (tptp.aa_num_num tptp.bit0 X23)))) (not (forall ((X33 tptp.num)) (not (= Y (tptp.aa_num_num tptp.bit1 X33)))))))))
% 19.22/19.41  (assume a4355 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N))) tptp.one_one_complex))))
% 19.22/19.41  (assume a4356 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.one_one_real))))
% 19.22/19.41  (assume a4357 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.one_one_rat))))
% 19.22/19.41  (assume a4358 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) tptp.one_one_nat))))
% 19.22/19.41  (assume a4359 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.one_one_int))))
% 19.22/19.41  (assume a4360 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.41  (assume a4361 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.22/19.41  (assume a4362 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.22/19.41  (assume a4363 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.22/19.41  (assume a4364 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.22/19.41  (assume a4365 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.22/19.41  (assume a4366 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))))))
% 19.22/19.41  (assume a4367 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2))))))
% 19.22/19.41  (assume a4368 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int Q2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q2))))))
% 19.22/19.41  (assume a4369 (forall ((M tptp.num) (Q2 tptp.num) (N tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger Q2)) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger Q2))))))
% 19.22/19.41  (assume a4370 (forall ((X tptp.real) (K tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 19.22/19.41  (assume a4371 (forall ((X tptp.int) (K tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 19.22/19.41  (assume a4372 (forall ((X tptp.complex) (K tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 19.22/19.41  (assume a4373 (forall ((X tptp.code_integer) (K tptp.num)) (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 19.22/19.41  (assume a4374 (forall ((X tptp.rat) (K tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K)))))))
% 19.22/19.41  (assume a4375 (forall ((N tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 19.22/19.41  (assume a4376 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.22/19.41  (assume a4377 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)))))))
% 19.22/19.41  (assume a4378 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)))))))
% 19.22/19.41  (assume a4379 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))))))
% 19.22/19.41  (assume a4380 (forall ((N tptp.num) (Q2 tptp.num)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4381 (forall ((N tptp.num) (Q2 tptp.num)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) tptp.zero_zero_int))))
% 19.22/19.41  (assume a4382 (forall ((N tptp.num) (Q2 tptp.num)) (not (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a4383 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex A) A)) A))))
% 19.22/19.41  (assume a4384 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A)) A))))
% 19.22/19.41  (assume a4385 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A)) A))))
% 19.22/19.41  (assume a4386 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) A)) A))))
% 19.22/19.41  (assume a4387 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A)) A))))
% 19.22/19.41  (assume a4388 (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4389 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) N))))
% 19.22/19.41  (assume a4390 (forall ((A tptp.nat)) (= (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4391 (forall ((A tptp.int)) (= (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4392 (forall ((A tptp.code_integer)) (= (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4393 (forall ((Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4394 (forall ((Q2 tptp.num) (N tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int Q2)) tptp.zero_zero_int))))
% 19.22/19.41  (assume a4395 (forall ((Q2 tptp.num) (N tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger tptp.one) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger N) (tptp.numera6620942414471956472nteger Q2)) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a4396 (forall ((M tptp.num) (Q2 tptp.num)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4397 (forall ((M tptp.num) (Q2 tptp.num)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int Q2)) tptp.zero_zero_int))))
% 19.22/19.41  (assume a4398 (forall ((M tptp.num) (Q2 tptp.num)) (= (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2))) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger tptp.one) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 Q2)))) (= (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger Q2)) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a4399 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M)) N))))
% 19.22/19.41  (assume a4400 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc M)))) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) M)) N))))
% 19.22/19.41  (assume a4401 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (=> (forall ((A4 tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A4) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A4) (tptp.pp (tptp.aa_nat_bool P A4)))) (=> (forall ((A4 tptp.nat) (B4 tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool P A4)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.zero_n2687167440665602831ol_nat B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A4))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A4) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.zero_n2687167440665602831ol_nat B4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A4))))))) (tptp.pp (tptp.aa_nat_bool P A))))))
% 19.22/19.41  (assume a4402 (forall ((P tptp.fun_int_bool) (A tptp.int)) (=> (forall ((A4 tptp.int)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A4) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A4) (tptp.pp (tptp.aa_int_bool P A4)))) (=> (forall ((A4 tptp.int) (B4 tptp.bool)) (=> (tptp.pp (tptp.aa_int_bool P A4)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A4))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A4) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B4)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A4))))))) (tptp.pp (tptp.aa_int_bool P A))))))
% 19.22/19.41  (assume a4403 (forall ((P tptp.fun_Co8822979462182099027r_bool) (A tptp.code_integer)) (=> (forall ((A4 tptp.code_integer)) (=> (= (tptp.divide6298287555418463151nteger A4 (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A4) (tptp.pp (tptp.aa_Code_integer_bool P A4)))) (=> (forall ((A4 tptp.code_integer) (B4 tptp.bool)) (=> (tptp.pp (tptp.aa_Code_integer_bool P A4)) (=> (= (tptp.divide6298287555418463151nteger (tptp.plus_p5714425477246183910nteger (tptp.zero_n356916108424825756nteger B4) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A4)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A4) (tptp.pp (tptp.aa_Code_integer_bool P (tptp.plus_p5714425477246183910nteger (tptp.zero_n356916108424825756nteger B4) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A4))))))) (tptp.pp (tptp.aa_Code_integer_bool P A))))))
% 19.22/19.41  (assume a4404 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat Y) X) (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat X) Y))))
% 19.22/19.41  (assume a4405 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat Y (tptp.uminus5710092332889474511et_nat X)) (tptp.ord_less_eq_set_nat X (tptp.uminus5710092332889474511et_nat Y)))))
% 19.22/19.41  (assume a4406 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat X Y) (tptp.ord_less_eq_set_nat (tptp.uminus5710092332889474511et_nat Y) (tptp.uminus5710092332889474511et_nat X)))))
% 19.22/19.41  (assume a4407 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)))))
% 19.22/19.41  (assume a4408 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)))))
% 19.22/19.41  (assume a4409 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M)))))
% 19.22/19.41  (assume a4410 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) tptp.zero_zero_nat))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))))
% 19.22/19.41  (assume a4411 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) M)) tptp.zero_zero_int))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))))
% 19.22/19.41  (assume a4412 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.divide6298287555418463151nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) M)) tptp.zero_z3403309356797280102nteger))) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)))) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N))))))
% 19.22/19.41  (assume a4413 (forall ((N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4414 (forall ((M tptp.nat)) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))))
% 19.22/19.41  (assume a4415 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) tptp.one_one_int))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4416 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 19.22/19.41  (assume a4417 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 19.22/19.41  (assume a4418 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 19.22/19.41  (assume a4419 (= (tptp.neg_nu7757733837767384882nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 19.22/19.41  (assume a4420 (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 19.22/19.41  (assume a4421 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4422 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))))
% 19.22/19.41  (assume a4423 (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))))
% 19.22/19.41  (assume a4424 (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 tptp.one))))
% 19.22/19.41  (assume a4425 (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 tptp.one))))
% 19.22/19.41  (assume a4426 (forall ((R2 tptp.real) (A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (=> (not (= R2 tptp.zero_zero_real)) (=> (and (= A B2) (not (= C D))) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) D))))))))
% 19.22/19.41  (assume a4427 (forall ((R2 tptp.rat) (A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (=> (not (= R2 tptp.zero_zero_rat)) (=> (and (= A B2) (not (= C D))) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) D))))))))
% 19.22/19.41  (assume a4428 (forall ((R2 tptp.nat) (A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (=> (not (= R2 tptp.zero_zero_nat)) (=> (and (= A B2) (not (= C D))) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat R2) D))))))))
% 19.22/19.41  (assume a4429 (forall ((R2 tptp.int) (A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (=> (not (= R2 tptp.zero_zero_int)) (=> (and (= A B2) (not (= C D))) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) D))))))))
% 19.22/19.41  (assume a4430 (forall ((X32 tptp.num)) (= (tptp.aa_num_nat tptp.size_num (tptp.aa_num_num tptp.bit1 X32)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_num X32)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4431 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex tptp.one_one_complex) tptp.one_one_complex))
% 19.22/19.41  (assume a4432 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.41  (assume a4433 (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.22/19.41  (assume a4434 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int tptp.one_one_int) tptp.one_one_int))
% 19.22/19.41  (assume a4435 (= (tptp.aa_num_nat tptp.pred_numeral tptp.one) tptp.zero_zero_nat))
% 19.22/19.41  (assume a4436 (forall ((K tptp.num) (N tptp.nat)) (= (= (tptp.aa_num_nat tptp.numeral_numeral_nat K) (tptp.aa_nat_nat tptp.suc N)) (= (tptp.aa_num_nat tptp.pred_numeral K) N))))
% 19.22/19.41  (assume a4437 (forall ((N tptp.nat) (K tptp.num)) (= (= (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (= N (tptp.aa_num_nat tptp.pred_numeral K)))))
% 19.22/19.41  (assume a4438 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex tptp.zero_zero_complex) tptp.one_one_complex))
% 19.22/19.41  (assume a4439 (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real tptp.zero_zero_real) tptp.one_one_real))
% 19.22/19.41  (assume a4440 (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat tptp.zero_zero_rat) tptp.one_one_rat))
% 19.22/19.41  (assume a4441 (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int tptp.zero_zero_int) tptp.one_one_int))
% 19.22/19.41  (assume a4442 (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.41  (assume a4443 (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 19.22/19.41  (assume a4444 (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.41  (assume a4445 (= (tptp.neg_nu5831290666863070958nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a4446 (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))
% 19.22/19.41  (assume a4447 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.numera6690914467698888265omplex K)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 K)))))
% 19.22/19.41  (assume a4448 (forall ((K tptp.num)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real (tptp.aa_num_real tptp.numeral_numeral_real K)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 K)))))
% 19.22/19.41  (assume a4449 (forall ((K tptp.num)) (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 K)))))
% 19.22/19.41  (assume a4450 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))))
% 19.22/19.41  (assume a4451 (forall ((K tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.pred_numeral K)) N)))))
% 19.22/19.41  (assume a4452 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.41  (assume a4453 (forall ((K tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral (tptp.aa_num_num tptp.bit1 K)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K)))))
% 19.22/19.41  (assume a4454 (forall ((K tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.pred_numeral K)) N)))))
% 19.22/19.41  (assume a4455 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.41  (assume a4456 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.pred_numeral K)))))
% 19.22/19.41  (assume a4457 (forall ((K tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.pred_numeral K)) N))))
% 19.22/19.41  (assume a4458 (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real tptp.zero_zero_real) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.41  (assume a4459 (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 19.22/19.41  (assume a4460 (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex tptp.zero_zero_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.41  (assume a4461 (= (tptp.neg_nu7757733837767384882nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.22/19.41  (assume a4462 (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))
% 19.22/19.41  (assume a4463 (forall ((K tptp.num)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real (tptp.aa_num_real tptp.numeral_numeral_real K))))))
% 19.22/19.41  (assume a4464 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int (tptp.aa_num_int tptp.numeral_numeral_int K))))))
% 19.22/19.41  (assume a4465 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.numera6690914467698888265omplex K))))))
% 19.22/19.41  (assume a4466 (forall ((K tptp.num)) (= (tptp.neg_nu7757733837767384882nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.neg_nu5831290666863070958nteger (tptp.numera6620942414471956472nteger K))))))
% 19.22/19.41  (assume a4467 (forall ((K tptp.num)) (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K))))))
% 19.22/19.41  (assume a4468 (forall ((K tptp.num)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real (tptp.aa_num_real tptp.numeral_numeral_real K))))))
% 19.22/19.41  (assume a4469 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int (tptp.aa_num_int tptp.numeral_numeral_int K))))))
% 19.22/19.41  (assume a4470 (forall ((K tptp.num)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex (tptp.numera6690914467698888265omplex K))))))
% 19.22/19.41  (assume a4471 (forall ((K tptp.num)) (= (tptp.neg_nu5831290666863070958nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.neg_nu7757733837767384882nteger (tptp.numera6620942414471956472nteger K))))))
% 19.22/19.41  (assume a4472 (forall ((K tptp.num)) (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K))))))
% 19.22/19.41  (assume a4473 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4474 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4475 (forall ((K tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat K) (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.pred_numeral K)))))
% 19.22/19.41  (assume a4476 (forall ((K tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.one_one_nat))))
% 19.22/19.41  (assume a4477 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu8557863876264182079omplex X) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) X)) tptp.one_one_complex))))
% 19.22/19.41  (assume a4478 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.neg_nu8295874005876285629c_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) X)) tptp.one_one_real))))
% 19.22/19.41  (assume a4479 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_nu5219082963157363817nc_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) X)) tptp.one_one_rat))))
% 19.22/19.41  (assume a4480 (forall ((X tptp.int)) (= (tptp.aa_int_int tptp.neg_nu5851722552734809277nc_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) X)) tptp.one_one_int))))
% 19.22/19.41  (assume a4481 (= (tptp.aa_num_nat tptp.size_num tptp.one) tptp.zero_zero_nat))
% 19.22/19.41  (assume a4482 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.neg_nu6511756317524482435omplex X) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) X)) tptp.one_one_complex))))
% 19.22/19.41  (assume a4483 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.neg_nu6075765906172075777c_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) X)) tptp.one_one_real))))
% 19.22/19.41  (assume a4484 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat tptp.neg_nu3179335615603231917ec_rat X) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) X)) tptp.one_one_rat))))
% 19.22/19.41  (assume a4485 (forall ((X tptp.int)) (= (tptp.aa_int_int tptp.neg_nu3811975205180677377ec_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) X)) tptp.one_one_int))))
% 19.22/19.41  (assume a4486 (forall ((B2 tptp.real) (A tptp.real)) (= (= B2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) A)) (= A tptp.zero_zero_real))))
% 19.22/19.41  (assume a4487 (forall ((B2 tptp.rat) (A tptp.rat)) (= (= B2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat B2) A)) (= A tptp.zero_zero_rat))))
% 19.22/19.41  (assume a4488 (forall ((B2 tptp.nat) (A tptp.nat)) (= (= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat B2) A)) (= A tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4489 (forall ((B2 tptp.int) (A tptp.int)) (= (= B2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int B2) A)) (= A tptp.zero_zero_int))))
% 19.22/19.41  (assume a4490 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (= (and (not (= A B2)) (not (= C D))) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C)))))))
% 19.22/19.41  (assume a4491 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (= (and (not (= A B2)) (not (= C D))) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) C)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) D)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat B2) C)))))))
% 19.22/19.41  (assume a4492 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (= (and (not (= A B2)) (not (= C D))) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) D)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) C)))))))
% 19.22/19.41  (assume a4493 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (= (and (not (= A B2)) (not (= C D))) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))))
% 19.22/19.41  (assume a4494 (forall ((W tptp.real) (Y tptp.real) (X tptp.real) (Z tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (or (= W X) (= Y Z)))))
% 19.22/19.41  (assume a4495 (forall ((W tptp.rat) (Y tptp.rat) (X tptp.rat) (Z tptp.rat)) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat W) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y))) (or (= W X) (= Y Z)))))
% 19.22/19.41  (assume a4496 (forall ((W tptp.nat) (Y tptp.nat) (X tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat W) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat W) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y))) (or (= W X) (= Y Z)))))
% 19.22/19.41  (assume a4497 (forall ((W tptp.int) (Y tptp.int) (X tptp.int) (Z tptp.int)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int X) Y))) (or (= W X) (= Y Z)))))
% 19.22/19.41  (assume a4498 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (= (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z)) (= Y (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Z)))))
% 19.22/19.41  (assume a4499 (forall ((X22 tptp.num)) (= (tptp.aa_num_nat tptp.size_num (tptp.aa_num_num tptp.bit0 X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_num X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a4500 (forall ((N tptp.num)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 19.22/19.41  (assume a4501 (forall ((N tptp.num)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 19.22/19.41  (assume a4502 (forall ((N tptp.nat) (A tptp.code_integer)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.bit_se1745604003318907178nteger N A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat) (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4503 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4504 (forall ((N tptp.nat) (A tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) tptp.zero_zero_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4505 (forall ((K tptp.int) (L tptp.int)) (and (=> (or (= K tptp.zero_zero_int) (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) tptp.zero_zero_int)) (=> (not (or (= K tptp.zero_zero_int) (= L tptp.zero_zero_int))) (and (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) L)) (=> (not (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) K)) (=> (not (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))
% 19.22/19.41  (assume a4506 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.exp_real X))))))
% 19.22/19.41  (assume a4507 (forall ((X tptp.real) (U tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))))
% 19.22/19.41  (assume a4508 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4509 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4510 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.ring_18347121197199848620nteger A)) (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4511 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4512 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4513 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4514 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X)) N)) (tptp.ring_18347121197199848620nteger A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4515 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X))) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4516 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2)) B2) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2))))
% 19.22/19.41  (assume a4517 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2))))
% 19.22/19.41  (assume a4518 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2))))
% 19.22/19.41  (assume a4519 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2))))
% 19.22/19.41  (assume a4520 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) A) A)))
% 19.22/19.41  (assume a4521 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) A) A)))
% 19.22/19.41  (assume a4522 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real tptp.sqrt X) (tptp.aa_real_real tptp.sqrt Y)) (= X Y))))
% 19.22/19.41  (assume a4523 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4524 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4525 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4526 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4527 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) X) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4528 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.zero_zero_int) A) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4529 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4530 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4531 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4532 (= (tptp.aa_real_real tptp.sqrt tptp.zero_zero_real) tptp.zero_zero_real))
% 19.22/19.41  (assume a4533 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sqrt X) tptp.zero_zero_real) (= X tptp.zero_zero_real))))
% 19.22/19.41  (assume a4534 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.41  (assume a4535 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.41  (assume a4536 (= (tptp.aa_real_real tptp.sqrt tptp.one_one_real) tptp.one_one_real))
% 19.22/19.41  (assume a4537 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sqrt X) tptp.one_one_real) (= X tptp.one_one_real))))
% 19.22/19.41  (assume a4538 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B2)))))
% 19.22/19.41  (assume a4539 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B2)))))
% 19.22/19.41  (assume a4540 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))
% 19.22/19.41  (assume a4541 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int tptp.zero_zero_nat) A) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4542 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat tptp.zero_zero_nat) A) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4543 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_int) tptp.one_one_int)))
% 19.22/19.41  (assume a4544 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_nat) tptp.one_one_nat)))
% 19.22/19.41  (assume a4545 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) A) A)))
% 19.22/19.41  (assume a4546 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) A) A)))
% 19.22/19.41  (assume a4547 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) A)))
% 19.22/19.41  (assume a4548 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) A)))
% 19.22/19.41  (assume a4549 (forall ((X tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger X (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) X)))
% 19.22/19.41  (assume a4550 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) X)))
% 19.22/19.41  (assume a4551 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z) (tptp.numera6690914467698888265omplex N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a4552 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Z) (tptp.aa_num_real tptp.numeral_numeral_real N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a4553 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Z) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a4554 (forall ((Z tptp.int) (N tptp.num)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N)) (= Z (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a4555 (forall ((K tptp.num)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.numera6690914467698888265omplex K))))
% 19.22/19.41  (assume a4556 (forall ((K tptp.num)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_real tptp.numeral_numeral_real K))))
% 19.22/19.41  (assume a4557 (forall ((K tptp.num)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_rat tptp.numeral_numeral_rat K))))
% 19.22/19.41  (assume a4558 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_int tptp.numeral_numeral_int K))))
% 19.22/19.41  (assume a4559 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 19.22/19.41  (assume a4560 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 19.22/19.41  (assume a4561 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)))))
% 19.22/19.41  (assume a4562 (forall ((L tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) tptp.one_one_int) tptp.one_one_int)))
% 19.22/19.41  (assume a4563 (forall ((L tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) tptp.one_one_nat) tptp.one_one_nat)))
% 19.22/19.41  (assume a4564 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)))))
% 19.22/19.41  (assume a4565 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)))))
% 19.22/19.41  (assume a4566 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)))))
% 19.22/19.41  (assume a4567 (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex tptp.one_one_int) tptp.one_one_complex))
% 19.22/19.41  (assume a4568 (= (tptp.aa_int_int tptp.ring_1_of_int_int tptp.one_one_int) tptp.one_one_int))
% 19.22/19.41  (assume a4569 (= (tptp.aa_int_real tptp.ring_1_of_int_real tptp.one_one_int) tptp.one_one_real))
% 19.22/19.41  (assume a4570 (= (tptp.aa_int_rat tptp.ring_1_of_int_rat tptp.one_one_int) tptp.one_one_rat))
% 19.22/19.41  (assume a4571 (forall ((Z tptp.int)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z) tptp.one_one_complex) (= Z tptp.one_one_int))))
% 19.22/19.41  (assume a4572 (forall ((Z tptp.int)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Z) tptp.one_one_int) (= Z tptp.one_one_int))))
% 19.22/19.41  (assume a4573 (forall ((Z tptp.int)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Z) tptp.one_one_real) (= Z tptp.one_one_int))))
% 19.22/19.41  (assume a4574 (forall ((Z tptp.int)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Z) tptp.one_one_rat) (= Z tptp.one_one_int))))
% 19.22/19.41  (assume a4575 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 19.22/19.41  (assume a4576 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 19.22/19.41  (assume a4577 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 19.22/19.41  (assume a4578 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 19.22/19.41  (assume a4579 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 19.22/19.41  (assume a4580 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) Z)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 19.22/19.41  (assume a4581 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4582 (forall ((Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)))))
% 19.22/19.41  (assume a4583 (forall ((Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)))))
% 19.22/19.41  (assume a4584 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4585 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) tptp.zero_zero_nat) (= N tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4586 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) tptp.zero_zero_int) (= N tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4587 (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 19.22/19.41  (assume a4588 (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 19.22/19.41  (assume a4589 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int W) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real W)) (tptp.aa_int_real tptp.ring_1_of_int_real Z)))))
% 19.22/19.41  (assume a4590 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int W) Z)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)))))
% 19.22/19.41  (assume a4591 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int W) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.ring_1_of_int_int W)) (tptp.aa_int_int tptp.ring_1_of_int_int Z)))))
% 19.22/19.41  (assume a4592 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))
% 19.22/19.41  (assume a4593 (forall ((Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) Y)))))
% 19.22/19.41  (assume a4594 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)))))
% 19.22/19.41  (assume a4595 (forall ((Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) Y)))))
% 19.22/19.41  (assume a4596 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) N))))
% 19.22/19.41  (assume a4597 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) N))))
% 19.22/19.41  (assume a4598 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) N))))
% 19.22/19.41  (assume a4599 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Z)) N))))
% 19.22/19.41  (assume a4600 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B2)) W) (tptp.aa_int_rat tptp.ring_1_of_int_rat X)) (= (tptp.aa_nat_int (tptp.power_power_int B2) W) X))))
% 19.22/19.41  (assume a4601 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B2)) W) (tptp.aa_int_real tptp.ring_1_of_int_real X)) (= (tptp.aa_nat_int (tptp.power_power_int B2) W) X))))
% 19.22/19.41  (assume a4602 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B2)) W) (tptp.aa_int_int tptp.ring_1_of_int_int X)) (= (tptp.aa_nat_int (tptp.power_power_int B2) W) X))))
% 19.22/19.41  (assume a4603 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B2)) W) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X)) (= (tptp.aa_nat_int (tptp.power_power_int B2) W) X))))
% 19.22/19.41  (assume a4604 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat X) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B2)) W)) (= X (tptp.aa_nat_int (tptp.power_power_int B2) W)))))
% 19.22/19.41  (assume a4605 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B2)) W)) (= X (tptp.aa_nat_int (tptp.power_power_int B2) W)))))
% 19.22/19.41  (assume a4606 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B2)) W)) (= X (tptp.aa_nat_int (tptp.power_power_int B2) W)))))
% 19.22/19.41  (assume a4607 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex X) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B2)) W)) (= X (tptp.aa_nat_int (tptp.power_power_int B2) W)))))
% 19.22/19.41  (assume a4608 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L))))))
% 19.22/19.41  (assume a4609 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L)) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int))))))
% 19.22/19.41  (assume a4610 (forall ((N tptp.nat)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) tptp.one_one_int) tptp.zero_zero_int) (= N tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4611 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) tptp.one_one_nat) tptp.zero_zero_nat) (= N tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4612 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_int)))
% 19.22/19.41  (assume a4613 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_nat)))
% 19.22/19.41  (assume a4614 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_int) tptp.one_one_int)))
% 19.22/19.41  (assume a4615 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_nat) tptp.one_one_nat)))
% 19.22/19.41  (assume a4616 (= (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.41  (assume a4617 (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 19.22/19.41  (assume a4618 (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 19.22/19.41  (assume a4619 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.bit_se2119862282449309892nteger N))))
% 19.22/19.41  (assume a4620 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))
% 19.22/19.41  (assume a4621 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4622 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4623 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4624 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_int) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4625 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_nat) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4626 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 19.22/19.41  (assume a4627 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 19.22/19.41  (assume a4628 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4629 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4630 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4631 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)))))
% 19.22/19.41  (assume a4632 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)))))
% 19.22/19.41  (assume a4633 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)))))
% 19.22/19.41  (assume a4634 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)))))
% 19.22/19.41  (assume a4635 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)))))
% 19.22/19.41  (assume a4636 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)))))
% 19.22/19.41  (assume a4637 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4638 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4639 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4640 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a4641 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a4642 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a4643 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 19.22/19.41  (assume a4644 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 19.22/19.41  (assume a4645 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 19.22/19.41  (assume a4646 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a4647 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a4648 (forall ((Z tptp.int) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.41  (assume a4649 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 19.22/19.41  (assume a4650 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 19.22/19.41  (assume a4651 (forall ((N tptp.num) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int N)) Z)))))
% 19.22/19.41  (assume a4652 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.one_one_int)))))
% 19.22/19.41  (assume a4653 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.one_one_int)))))
% 19.22/19.41  (assume a4654 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.one_one_int)))))
% 19.22/19.41  (assume a4655 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) Z)))))
% 19.22/19.41  (assume a4656 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) Z)))))
% 19.22/19.41  (assume a4657 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) Z)))))
% 19.22/19.41  (assume a4658 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) tptp.one_one_int)))))
% 19.22/19.41  (assume a4659 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) tptp.one_one_int)))))
% 19.22/19.41  (assume a4660 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int Z)) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) tptp.one_one_int)))))
% 19.22/19.41  (assume a4661 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) Z)))))
% 19.22/19.41  (assume a4662 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) Z)))))
% 19.22/19.41  (assume a4663 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) Z)))))
% 19.22/19.41  (assume a4664 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N tptp.one_one_Code_integer) (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4665 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) tptp.one_one_int) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4666 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) tptp.one_one_nat) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.41  (assume a4667 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 19.22/19.41  (assume a4668 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N) (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 19.22/19.41  (assume a4669 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N) (tptp.aa_int_rat tptp.ring_1_of_int_rat Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 19.22/19.41  (assume a4670 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) (tptp.aa_int_int tptp.ring_1_of_int_int Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 19.22/19.41  (assume a4671 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 19.22/19.41  (assume a4672 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 19.22/19.41  (assume a4673 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 19.22/19.41  (assume a4674 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 19.22/19.41  (assume a4675 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B2)) W)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B2) W)) X)))))
% 19.22/19.41  (assume a4676 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B2)) W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B2) W)) X)))))
% 19.22/19.41  (assume a4677 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B2)) W)) (tptp.aa_int_int tptp.ring_1_of_int_int X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int B2) W)) X)))))
% 19.22/19.41  (assume a4678 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B2)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_nat_int (tptp.power_power_int B2) W))))))
% 19.22/19.41  (assume a4679 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B2)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_nat_int (tptp.power_power_int B2) W))))))
% 19.22/19.41  (assume a4680 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B2)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_nat_int (tptp.power_power_int B2) W))))))
% 19.22/19.41  (assume a4681 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B2)) W)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B2) W)) X)))))
% 19.22/19.41  (assume a4682 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B2)) W)) (tptp.aa_int_rat tptp.ring_1_of_int_rat X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B2) W)) X)))))
% 19.22/19.41  (assume a4683 (forall ((B2 tptp.int) (W tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B2)) W)) (tptp.aa_int_int tptp.ring_1_of_int_int X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int B2) W)) X)))))
% 19.22/19.41  (assume a4684 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_int_real tptp.ring_1_of_int_real B2)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int B2) W))))))
% 19.22/19.41  (assume a4685 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat B2)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int B2) W))))))
% 19.22/19.41  (assume a4686 (forall ((X tptp.int) (B2 tptp.int) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.ring_1_of_int_int B2)) W))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int B2) W))))))
% 19.22/19.41  (assume a4687 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int) tptp.one_one_int)))
% 19.22/19.41  (assume a4688 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int)))
% 19.22/19.41  (assume a4689 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 19.22/19.41  (assume a4690 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 19.22/19.41  (assume a4691 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 19.22/19.41  (assume a4692 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 19.22/19.41  (assume a4693 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se1745604003318907178nteger N A))) (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.41  (assume a4694 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.41  (assume a4695 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.41  (assume a4696 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4697 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.zero_zero_int)))
% 19.22/19.41  (assume a4698 (forall ((A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) A) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4699 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4700 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4701 (forall ((X tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.41  (assume a4702 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X))))
% 19.22/19.41  (assume a4703 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.41  (assume a4704 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.41  (assume a4705 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.41  (assume a4706 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.41  (assume a4707 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.41  (assume a4708 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.41  (assume a4709 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.41  (assume a4710 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.41  (assume a4711 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.41  (assume a4712 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.41  (assume a4713 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.41  (assume a4714 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.41  (assume a4715 (forall ((X tptp.real) (Y tptp.real) (Xa tptp.real) (Ya tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Xa) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Xa) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a4716 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 19.22/19.41  (assume a4717 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_int tptp.ring_1_of_int_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 19.22/19.41  (assume a4718 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 19.22/19.41  (assume a4719 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.ring_18347121197199848620nteger Y) (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 19.22/19.41  (assume a4720 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X))) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)))))
% 19.22/19.41  (assume a4721 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N) (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 19.22/19.41  (assume a4722 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) (tptp.aa_int_int tptp.ring_1_of_int_int Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 19.22/19.41  (assume a4723 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex X))) N) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 19.22/19.41  (assume a4724 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X)) N) (tptp.ring_18347121197199848620nteger Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 19.22/19.41  (assume a4725 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X))) N) (tptp.aa_int_rat tptp.ring_1_of_int_rat Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N) Y))))
% 19.22/19.41  (assume a4726 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 19.22/19.41  (assume a4727 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 19.22/19.41  (assume a4728 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger M (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)))))
% 19.22/19.41  (assume a4729 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4730 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4731 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger N (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4732 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4733 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4734 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N)) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4735 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X)) N)) (tptp.ring_18347121197199848620nteger A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4736 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X))) N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4737 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) (tptp.aa_int_int tptp.ring_1_of_int_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N)) A)))))
% 19.22/19.41  (assume a4738 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4739 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.ring_18347121197199848620nteger A)) (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4740 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4741 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int X))) N))))))
% 19.22/19.41  (assume a4742 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 19.22/19.41  (assume a4743 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)))))
% 19.22/19.41  (assume a4744 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B2) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) C)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B2) C)))))
% 19.22/19.41  (assume a4745 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B2) C)))))
% 19.22/19.41  (assume a4746 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B2) A))))
% 19.22/19.41  (assume a4747 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B2) A))))
% 19.22/19.41  (assume a4748 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.ring_1_of_int_int K)) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 19.22/19.41  (assume a4749 (forall ((N tptp.nat)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))
% 19.22/19.41  (assume a4750 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2)) C) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int B2) C)))))
% 19.22/19.41  (assume a4751 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat B2) C)))))
% 19.22/19.41  (assume a4752 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.ring_1_of_int_int K)) (tptp.aa_int_int tptp.ring_1_of_int_int L)))))
% 19.22/19.41  (assume a4753 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B2))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)))))
% 19.22/19.41  (assume a4754 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)))))
% 19.22/19.41  (assume a4755 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int) (M tptp.nat)) (=> (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) B2))))))
% 19.22/19.41  (assume a4756 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat) (M tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M) B2))))))
% 19.22/19.41  (assume a4757 (forall ((N tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)) M))))
% 19.22/19.41  (assume a4758 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) Q2))))))
% 19.22/19.41  (assume a4759 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))))))
% 19.22/19.41  (assume a4760 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))))))
% 19.22/19.41  (assume a4761 (forall ((X tptp.int) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_int_real tptp.ring_1_of_int_real X)))))
% 19.22/19.41  (assume a4762 (forall ((X tptp.int) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X)) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) (tptp.aa_int_rat tptp.ring_1_of_int_rat X)))))
% 19.22/19.41  (assume a4763 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.ring_1_of_int_int X)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_int_int tptp.ring_1_of_int_int X)))))
% 19.22/19.41  (assume a4764 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y)))))
% 19.22/19.41  (assume a4765 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y)))))
% 19.22/19.41  (assume a4766 (forall ((X tptp.real) (K tptp.nat)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) K))))
% 19.22/19.41  (assume a4767 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sqrt X)))))
% 19.22/19.41  (assume a4768 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int K)))))
% 19.22/19.41  (assume a4769 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) L))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) L)))))
% 19.22/19.41  (assume a4770 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) L))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) L)))))
% 19.22/19.41  (assume a4771 (forall ((N tptp.nat) (B2 tptp.int)) (= (tptp.bit_concat_bit N (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B2)) (tptp.bit_concat_bit N B2))))
% 19.22/19.41  (assume a4772 (forall ((N tptp.nat) (K tptp.int) (L tptp.int) (R2 tptp.int) (S tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_concat_bit N K) L) (tptp.aa_int_int (tptp.bit_concat_bit N R2) S)) (and (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) R2)) (= L S)))))
% 19.22/19.41  (assume a4773 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)))))
% 19.22/19.41  (assume a4774 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int)) tptp.zero_zero_int))))
% 19.22/19.41  (assume a4775 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.bit_se3949692690581998587nteger A B2) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (and (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (= B2 (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))
% 19.22/19.41  (assume a4776 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (and (= A (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= B2 (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.41  (assume a4777 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt X))))))
% 19.22/19.41  (assume a4778 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt X))))))
% 19.22/19.41  (assume a4779 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.sqrt X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4780 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt X))))))
% 19.22/19.41  (assume a4781 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) K)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 19.22/19.41  (assume a4782 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) Z))))))
% 19.22/19.41  (assume a4783 (forall ((Y tptp.int) (Z tptp.int) (Ya tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Y) Ya)) Z))))))
% 19.22/19.41  (assume a4784 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) Y)))))
% 19.22/19.41  (assume a4785 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) X)))))
% 19.22/19.41  (assume a4786 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y))))))
% 19.22/19.41  (assume a4787 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.22/19.41  (assume a4788 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 19.22/19.41  (assume a4789 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) B2)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) B2)))))
% 19.22/19.41  (assume a4790 (forall ((N tptp.nat) (K tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4791 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4792 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.if_fun_int_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M) (tptp.bit_se2923211474154528505it_int N) (tptp.bit_ri631733984087533419it_int M)) A))))
% 19.22/19.41  (assume a4793 (forall ((N tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) A)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 19.22/19.41  (assume a4794 (forall ((N tptp.nat) (M tptp.nat) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)))))))
% 19.22/19.41  (assume a4795 (forall ((N tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int M) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int M) A)) (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 19.22/19.41  (assume a4796 (forall ((N tptp.nat) (M tptp.nat) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)))))))
% 19.22/19.41  (assume a4797 (forall ((N tptp.nat) (M tptp.nat) (A tptp.int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) A)) (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))))
% 19.22/19.41  (assume a4798 (forall ((N tptp.nat) (M tptp.nat) (A tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)))))))
% 19.22/19.41  (assume a4799 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 19.22/19.41  (assume a4800 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a4801 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt X)))))
% 19.22/19.41  (assume a4802 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real tptp.sqrt Y))))))))
% 19.22/19.41  (assume a4803 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) A)))))
% 19.22/19.41  (assume a4804 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) Y)))))))
% 19.22/19.41  (assume a4805 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L)) K)))))
% 19.22/19.41  (assume a4806 (forall ((Y tptp.int) (Z tptp.int) (Ya tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Y) Ya)) Z))))))
% 19.22/19.41  (assume a4807 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) Z))))))
% 19.22/19.41  (assume a4808 (forall ((N tptp.nat) (K tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) tptp.one_one_int)))))
% 19.22/19.41  (assume a4809 (forall ((N tptp.int) (X tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int N) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))))))
% 19.22/19.41  (assume a4810 (forall ((D tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) N)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int N) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real D))))))
% 19.22/19.41  (assume a4811 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))))
% 19.22/19.41  (assume a4812 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int))))))
% 19.22/19.41  (assume a4813 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se3949692690581998587nteger A B2))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.22/19.41  (assume a4814 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.22/19.41  (assume a4815 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.22/19.41  (assume a4816 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a4817 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 19.22/19.41  (assume a4818 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 19.22/19.41  (assume a4819 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))))))
% 19.22/19.41  (assume a4820 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 19.22/19.41  (assume a4821 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 19.22/19.41  (assume a4822 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.ring_1_of_int_int Z))))))
% 19.22/19.41  (assume a4823 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))))
% 19.22/19.41  (assume a4824 (forall ((K tptp.num)) (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real K)))))
% 19.22/19.41  (assume a4825 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))))
% 19.22/19.41  (assume a4826 (forall ((K tptp.num)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex K)))))
% 19.22/19.41  (assume a4827 (forall ((K tptp.num)) (= (tptp.ring_18347121197199848620nteger (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K)))))
% 19.22/19.41  (assume a4828 (forall ((K tptp.num)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K)))))
% 19.22/19.41  (assume a4829 (forall ((N tptp.int) (M tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) tptp.one_one_real))))))
% 19.22/19.41  (assume a4830 (forall ((N tptp.int) (M tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real)) (tptp.aa_int_real tptp.ring_1_of_int_real M))))))
% 19.22/19.41  (assume a4831 (forall ((X tptp.int) (D tptp.int)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real X)) (tptp.aa_int_real tptp.ring_1_of_int_real D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X) D))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) D))) (tptp.aa_int_real tptp.ring_1_of_int_real D))))))
% 19.22/19.41  (assume a4832 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4833 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4834 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger N A) (tptp.modulo364778990260209775nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)))))
% 19.22/19.41  (assume a4835 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4836 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4837 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger tptp.one_one_Code_integer A) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4838 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4839 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat tptp.one_one_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4840 (forall ((A tptp.code_integer)) (= (tptp.bit_se3949692690581998587nteger A tptp.one_one_Code_integer) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4841 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4842 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4843 (forall ((N tptp.nat) (M tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M) M) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.41  (assume a4844 (forall ((N tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4845 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M) M))))
% 19.22/19.41  (assume a4846 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real tptp.sqrt Y))))))
% 19.22/19.41  (assume a4847 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sqrt Y))))))
% 19.22/19.41  (assume a4848 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a4849 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4850 (forall ((N tptp.nat) (K tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4851 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4852 (forall ((N tptp.int) (X tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int N) X)))))))
% 19.22/19.41  (assume a4853 (forall ((N tptp.int) (X tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int N) X)))) tptp.one_one_real))))
% 19.22/19.41  (assume a4854 (forall ((N tptp.nat) (A tptp.code_integer)) (= (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) A)))))
% 19.22/19.41  (assume a4855 (forall ((N tptp.nat) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)))))
% 19.22/19.41  (assume a4856 (forall ((N tptp.nat) (A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)))))
% 19.22/19.41  (assume a4857 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4858 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4859 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) M)))))
% 19.22/19.41  (assume a4860 (forall ((Y tptp.real) (X tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real tptp.sqrt X) Y)))))
% 19.22/19.41  (assume a4861 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt X)) Y)))))))
% 19.22/19.41  (assume a4862 (forall ((U tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) U)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) U)))))
% 19.22/19.41  (assume a4863 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 19.22/19.41  (assume a4864 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Y) (= X tptp.zero_zero_real))))
% 19.22/19.41  (assume a4865 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) X) (= Y tptp.zero_zero_real))))
% 19.22/19.41  (assume a4866 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4867 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) D)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real C) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real D) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.41  (assume a4868 (forall ((Y tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4869 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4870 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4871 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.ring_18347121197199848620nteger K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K)))))
% 19.22/19.41  (assume a4872 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.ring_1_of_int_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K)))))
% 19.22/19.41  (assume a4873 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.41  (assume a4874 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)))))
% 19.22/19.41  (assume a4875 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se2119862282449309892nteger N))) (= N tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4876 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))) (= N tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4877 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))) (= N tptp.zero_zero_nat))))
% 19.22/19.41  (assume a4878 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt X)) Y)))))))
% 19.22/19.41  (assume a4879 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))))
% 19.22/19.41  (assume a4880 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a4881 (forall ((N tptp.nat) (K tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) K) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.22/19.41  (assume a4882 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) K)))))
% 19.22/19.41  (assume a4883 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4884 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 19.22/19.41  (assume a4885 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4886 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))
% 19.22/19.41  (assume a4887 (forall ((N tptp.nat) (K tptp.int)) (=> (not (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 19.22/19.41  (assume a4888 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 19.22/19.41  (assume a4889 (forall ((N tptp.nat)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.minus_8373710615458151222nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_nat_nat tptp.suc N)) tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a4890 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int))))
% 19.22/19.41  (assume a4891 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4892 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))
% 19.22/19.41  (assume a4893 (forall ((K tptp.num)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_num_nat tptp.numeral_numeral_nat K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.minus_8373710615458151222nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a4894 (forall ((K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) tptp.one_one_int))))
% 19.22/19.41  (assume a4895 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.bit_se1745604003318907178nteger N (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a4896 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a4897 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a4898 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))
% 19.22/19.41  (assume a4899 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int))))
% 19.22/19.41  (assume a4900 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sqrt X)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4901 (forall ((X tptp.real) (Y tptp.real) (Xa tptp.real) (Ya tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Xa) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Ya) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.41  (assume a4902 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4903 (forall ((N tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.41  (assume a4904 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 19.22/19.41  (assume a4905 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.41  (assume a4906 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.bit_se1745604003318907178nteger N A) tptp.zero_z3403309356797280102nteger)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.bit_se1745604003318907178nteger N A) (tptp.minus_8373710615458151222nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N) tptp.one_one_Code_integer)))))))
% 19.22/19.41  (assume a4907 (forall ((A tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_int)))))))
% 19.22/19.41  (assume a4908 (forall ((A tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat)))))))
% 19.22/19.41  (assume a4909 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4910 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))
% 19.22/19.41  (assume a4911 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K))))))
% 19.22/19.41  (assume a4912 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.41  (assume a4913 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4914 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4915 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 19.22/19.41  (assume a4916 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))))))))
% 19.22/19.41  (assume a4917 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.41  (assume a4918 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 19.22/19.41  (assume a4919 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.41  (assume a4920 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))))))
% 19.22/19.41  (assume a4921 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.41  (assume a4922 (= (tptp.aa_complex_complex tptp.exp_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 19.22/19.41  (assume a4923 (= (tptp.aa_real_real tptp.exp_real tptp.zero_zero_real) tptp.one_one_real))
% 19.22/19.41  (assume a4924 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.exp_real X) tptp.one_one_real) (= X tptp.zero_zero_real))))
% 19.22/19.41  (assume a4925 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4926 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) tptp.zero_zero_nat)))
% 19.22/19.41  (assume a4927 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) tptp.one_one_nat)))
% 19.22/19.41  (assume a4928 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat)))
% 19.22/19.41  (assume a4929 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4930 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4931 (forall ((A3 tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex A3)) A3) (tptp.aa_complex_complex (tptp.times_times_complex A3) (tptp.aa_complex_complex tptp.exp_complex A3)))))
% 19.22/19.41  (assume a4932 (forall ((A3 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real A3)) A3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A3) (tptp.aa_real_real tptp.exp_real A3)))))
% 19.22/19.41  (assume a4933 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.41  (assume a4934 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (or (= M tptp.zero_zero_nat) (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N) tptp.zero_zero_nat)) (=> (not (or (= M tptp.zero_zero_nat) (= N tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.41  (assume a4935 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a4936 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex Y)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)))))
% 19.22/19.41  (assume a4937 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))
% 19.22/19.41  (assume a4938 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) X)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex Y))))))
% 19.22/19.41  (assume a4939 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y))))))
% 19.22/19.41  (assume a4940 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex Y)))))
% 19.22/19.41  (assume a4941 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real Y)))))
% 19.22/19.41  (assume a4942 (forall ((X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.exp_real X)) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4943 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.exp_real X)))))
% 19.22/19.41  (assume a4944 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((X3 tptp.real)) (= (tptp.aa_real_real tptp.exp_real X3) Y)))))
% 19.22/19.41  (assume a4945 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.exp_real X)))))
% 19.22/19.41  (assume a4946 (forall ((X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real X)) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4947 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X))) tptp.one_one_real)))
% 19.22/19.41  (assume a4948 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X))) tptp.one_one_complex)))
% 19.22/19.41  (assume a4949 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real X))))))
% 19.22/19.41  (assume a4950 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real tptp.exp_real X)))))
% 19.22/19.41  (assume a4951 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real tptp.exp_real X))))))
% 19.22/19.41  (assume a4952 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) Y)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) tptp.one_one_real))) (= (tptp.aa_real_real tptp.exp_real X3) Y))))))
% 19.22/19.41  (assume a4953 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 19.22/19.41  (assume a4954 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4955 (forall ((Z tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a4956 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.41  (assume a4957 (= (tptp.aa_real_real tptp.arcosh_real tptp.one_one_real) tptp.zero_zero_real))
% 19.22/19.41  (assume a4958 (forall ((X tptp.real)) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real X3)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) tptp.one_one_int)))) (forall ((Y4 tptp.int)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Y4)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y4) tptp.one_one_int))))) (= Y4 X3)))))))
% 19.22/19.41  (assume a4959 (forall ((X tptp.rat)) (exists ((X3 tptp.int)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat X3)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) tptp.one_one_int)))) (forall ((Y4 tptp.int)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Y4)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Y4) tptp.one_one_int))))) (= Y4 X3)))))))
% 19.22/19.41  (assume a4960 (forall ((X tptp.real)) (exists ((Z2 tptp.int)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z2)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z2) tptp.one_one_int))))))))
% 19.22/19.41  (assume a4961 (forall ((X tptp.rat)) (exists ((Z2 tptp.int)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z2) tptp.one_one_int))))))))
% 19.22/19.41  (assume a4962 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4963 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K))))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int))))
% 19.22/19.41  (assume a4964 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))))
% 19.22/19.41  (assume a4965 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X))))))))
% 19.22/19.41  (assume a4966 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.41  (assume a4967 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.41  (assume a4968 (= (tptp.aa_real_real tptp.ln_ln_real tptp.one_one_real) tptp.zero_zero_real))
% 19.22/19.41  (assume a4969 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.aa_real_real tptp.ln_ln_real Y)) (= X Y))))))
% 19.22/19.41  (assume a4970 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))
% 19.22/19.41  (assume a4971 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4972 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tanh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 19.22/19.41  (assume a4973 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tanh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a4974 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tanh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.41  (assume a4975 (forall ((K tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral (tptp.aa_num_num tptp.inc K)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))))
% 19.22/19.41  (assume a4976 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))
% 19.22/19.41  (assume a4977 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (= (tptp.aa_real_real tptp.ln_ln_real X) tptp.zero_zero_real) (= X tptp.one_one_real)))))
% 19.22/19.41  (assume a4978 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 19.22/19.41  (assume a4979 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 19.22/19.41  (assume a4980 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.ln_ln_real X)) X))))
% 19.22/19.41  (assume a4981 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.ln_ln_real X)) X) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 19.22/19.41  (assume a4982 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real))))))
% 19.22/19.41  (assume a4983 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 19.22/19.41  (assume a4984 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4985 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4986 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex N))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4987 (forall ((N tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4988 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4989 (forall ((M tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real M))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc M))))))
% 19.22/19.41  (assume a4990 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc M))))))
% 19.22/19.41  (assume a4991 (forall ((M tptp.num)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex M))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc M))))))
% 19.22/19.41  (assume a4992 (forall ((M tptp.num)) (= (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger M)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc M))))))
% 19.22/19.41  (assume a4993 (forall ((M tptp.num)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M))) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc M))))))
% 19.22/19.41  (assume a4994 (forall ((N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4995 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4996 (forall ((N tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex N)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4997 (forall ((N tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) (tptp.numera6620942414471956472nteger N)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4998 (forall ((N tptp.num)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc N))))))
% 19.22/19.41  (assume a4999 (forall ((M tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc M)))))
% 19.22/19.41  (assume a5000 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc M)))))
% 19.22/19.41  (assume a5001 (forall ((M tptp.num)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.numera6690914467698888265omplex M)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc M)))))
% 19.22/19.41  (assume a5002 (forall ((M tptp.num)) (= (tptp.minus_8373710615458151222nteger (tptp.numera6620942414471956472nteger M) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc M)))))
% 19.22/19.41  (assume a5003 (forall ((M tptp.num)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat M)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc M)))))
% 19.22/19.41  (assume a5004 (forall ((P tptp.fun_num_bool) (X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool P tptp.one)) (=> (forall ((X3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool P X3)) (tptp.pp (tptp.aa_num_bool P (tptp.aa_num_num tptp.inc X3))))) (tptp.pp (tptp.aa_num_bool P X))))))
% 19.22/19.41  (assume a5005 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num X) (tptp.aa_num_num tptp.inc Y)) (tptp.aa_num_num tptp.inc (tptp.aa_num_num (tptp.plus_plus_num X) Y)))))
% 19.22/19.41  (assume a5006 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) X)))))
% 19.22/19.41  (assume a5007 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tanh_real X)) tptp.one_one_real))))
% 19.22/19.41  (assume a5008 (= (tptp.aa_num_num tptp.inc tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one)))
% 19.22/19.41  (assume a5009 (forall ((X tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit0 X)) (tptp.aa_num_num tptp.bit1 X))))
% 19.22/19.41  (assume a5010 (forall ((X tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bit1 X)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.inc X)))))
% 19.22/19.41  (assume a5011 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) X)))))
% 19.22/19.41  (assume a5012 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 19.22/19.41  (assume a5013 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real X)) tptp.zero_zero_real))))))
% 19.22/19.41  (assume a5014 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 19.22/19.41  (assume a5015 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 19.22/19.41  (assume a5016 (forall ((X tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num X) tptp.one) (tptp.aa_num_num tptp.inc X))))
% 19.22/19.41  (assume a5017 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.times_times_num X) (tptp.aa_num_num tptp.inc Y)) (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num (tptp.times_times_num X) Y)) X))))
% 19.22/19.41  (assume a5018 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.tanh_real X)))))
% 19.22/19.41  (assume a5019 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.ln_ln_real X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 19.22/19.41  (assume a5020 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X)))))
% 19.22/19.41  (assume a5021 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y)))))))
% 19.22/19.41  (assume a5022 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)) (= X tptp.one_one_real)))))
% 19.22/19.41  (assume a5023 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y)))))))
% 19.22/19.41  (assume a5024 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.ln_ln_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real Y)) X))))))
% 19.22/19.41  (assume a5025 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real Y)) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X)) X)))))))
% 19.22/19.41  (assume a5026 (forall ((X tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.inc X)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex X)) tptp.one_one_complex))))
% 19.22/19.41  (assume a5027 (forall ((X tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.inc X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real X)) tptp.one_one_real))))
% 19.22/19.41  (assume a5028 (forall ((X tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.inc X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) tptp.one_one_rat))))
% 19.22/19.41  (assume a5029 (forall ((X tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.inc X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) tptp.one_one_nat))))
% 19.22/19.41  (assume a5030 (forall ((X tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int X)) tptp.one_one_int))))
% 19.22/19.41  (assume a5031 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 19.22/19.41  (assume a5032 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real))))))
% 19.22/19.41  (assume a5033 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) Y)))))))
% 19.22/19.41  (assume a5034 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X)))))
% 19.22/19.41  (assume a5035 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.tanh_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))
% 19.22/19.41  (assume a5036 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (= (tptp.aa_real_real tptp.arcosh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))))))
% 19.22/19.41  (assume a5037 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X))) (tptp.aa_real_real tptp.uminus_uminus_real X)))))))
% 19.22/19.41  (assume a5038 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a5039 (forall ((P tptp.fun_nat_bool)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_12))) (exists ((N3 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool P N3))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3)))))))))
% 19.22/19.41  (assume a5040 (forall ((X tptp.real)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z2))))))
% 19.22/19.41  (assume a5041 (forall ((X tptp.rat)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2))))))
% 19.22/19.41  (assume a5042 (forall ((X tptp.real)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real Z2)) X)))))
% 19.22/19.41  (assume a5043 (forall ((X tptp.rat)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2)) X)))))
% 19.22/19.41  (assume a5044 (forall ((X tptp.real)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z2))))))
% 19.22/19.41  (assume a5045 (forall ((X tptp.rat)) (exists ((Z2 tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z2))))))
% 19.22/19.41  (assume a5046 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X)))))))
% 19.22/19.41  (assume a5047 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.tanh_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)))))))
% 19.22/19.41  (assume a5048 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))))))))
% 19.22/19.41  (assume a5049 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.artanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5050 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.41  (assume a5051 (forall ((X tptp.real) (Y tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real Y))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) Y)))))
% 19.22/19.41  (assume a5052 (forall ((X tptp.rat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_rat tptp.ring_1_of_int_rat Y))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X) Y)))))
% 19.22/19.41  (assume a5053 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arsinh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))))))
% 19.22/19.41  (assume a5054 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.41  (assume a5055 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))))))
% 19.22/19.41  (assume a5056 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X))))))
% 19.22/19.41  (assume a5057 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))))))
% 19.22/19.41  (assume a5058 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X))))))
% 19.22/19.41  (assume a5059 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 19.22/19.41  (assume a5060 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int A))))
% 19.22/19.41  (assume a5061 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer A))))
% 19.22/19.41  (assume a5062 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A))))
% 19.22/19.41  (assume a5063 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 19.22/19.41  (assume a5064 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int A))))
% 19.22/19.41  (assume a5065 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer A))))
% 19.22/19.41  (assume a5066 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A))))
% 19.22/19.41  (assume a5067 (= (tptp.abs_abs_Code_integer tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 19.22/19.41  (assume a5068 (= (tptp.aa_real_real tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.22/19.41  (assume a5069 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.22/19.41  (assume a5070 (= (tptp.aa_int_int tptp.abs_abs_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.22/19.41  (assume a5071 (forall ((A tptp.code_integer)) (= (= tptp.zero_z3403309356797280102nteger (tptp.abs_abs_Code_integer A)) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a5072 (forall ((A tptp.real)) (= (= tptp.zero_zero_real (tptp.aa_real_real tptp.abs_abs_real A)) (= A tptp.zero_zero_real))))
% 19.22/19.41  (assume a5073 (forall ((A tptp.rat)) (= (= tptp.zero_zero_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (= A tptp.zero_zero_rat))))
% 19.22/19.41  (assume a5074 (forall ((A tptp.int)) (= (= tptp.zero_zero_int (tptp.aa_int_int tptp.abs_abs_int A)) (= A tptp.zero_zero_int))))
% 19.22/19.41  (assume a5075 (forall ((A tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a5076 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.41  (assume a5077 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.41  (assume a5078 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.22/19.41  (assume a5079 (= (tptp.abs_abs_Code_integer tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 19.22/19.41  (assume a5080 (= (tptp.aa_real_real tptp.abs_abs_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.22/19.41  (assume a5081 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.22/19.41  (assume a5082 (= (tptp.aa_int_int tptp.abs_abs_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.22/19.41  (assume a5083 (forall ((N tptp.num)) (= (tptp.abs_abs_Code_integer (tptp.numera6620942414471956472nteger N)) (tptp.numera6620942414471956472nteger N))))
% 19.22/19.41  (assume a5084 (forall ((N tptp.num)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N))))
% 19.22/19.41  (assume a5085 (forall ((N tptp.num)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))
% 19.22/19.41  (assume a5086 (forall ((N tptp.num)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.22/19.41  (assume a5087 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer A)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) A))))
% 19.22/19.41  (assume a5088 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) A))))
% 19.22/19.41  (assume a5089 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) A))))
% 19.22/19.41  (assume a5090 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) A))))
% 19.22/19.41  (assume a5091 (= (tptp.abs_abs_Code_integer tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 19.22/19.41  (assume a5092 (= (tptp.aa_complex_complex tptp.abs_abs_complex tptp.one_one_complex) tptp.one_one_complex))
% 19.22/19.41  (assume a5093 (= (tptp.aa_real_real tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.41  (assume a5094 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.22/19.41  (assume a5095 (= (tptp.aa_int_int tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 19.22/19.41  (assume a5096 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2)))))
% 19.22/19.41  (assume a5097 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2)))))
% 19.22/19.41  (assume a5098 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2)))))
% 19.22/19.41  (assume a5099 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2)))))
% 19.22/19.41  (assume a5100 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.abs_abs_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.abs_abs_complex A)) (tptp.aa_complex_complex tptp.abs_abs_complex B2)))))
% 19.22/19.41  (assume a5101 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2)))))
% 19.22/19.41  (assume a5102 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2)))))
% 19.22/19.41  (assume a5103 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 19.22/19.41  (assume a5104 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.abs_abs_int A))))
% 19.22/19.41  (assume a5105 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.abs_abs_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.abs_abs_complex A))))
% 19.22/19.41  (assume a5106 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A))))
% 19.22/19.41  (assume a5107 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A))))
% 19.22/19.41  (assume a5108 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 19.22/19.41  (assume a5109 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.abs_abs_int A))))
% 19.22/19.41  (assume a5110 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A))))
% 19.22/19.41  (assume a5111 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A))))
% 19.22/19.41  (assume a5112 (forall ((M tptp.real) (K tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real tptp.abs_abs_real M)) K)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real M) K)))))
% 19.22/19.41  (assume a5113 (forall ((M tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int tptp.abs_abs_int M)) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int M) K)))))
% 19.22/19.41  (assume a5114 (forall ((M tptp.code_integer) (K tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.abs_abs_Code_integer M)) K)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer M) K)))))
% 19.22/19.41  (assume a5115 (forall ((M tptp.rat) (K tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat tptp.abs_abs_rat M)) K)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat M) K)))))
% 19.22/19.41  (assume a5116 (forall ((M tptp.real) (K tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real M) (tptp.aa_real_real tptp.abs_abs_real K))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real M) K)))))
% 19.22/19.41  (assume a5117 (forall ((M tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int M) (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int M) K)))))
% 19.22/19.41  (assume a5118 (forall ((M tptp.code_integer) (K tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer M) (tptp.abs_abs_Code_integer K))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer M) K)))))
% 19.22/19.41  (assume a5119 (forall ((M tptp.rat) (K tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat M) (tptp.aa_rat_rat tptp.abs_abs_rat K))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat M) K)))))
% 19.22/19.41  (assume a5120 (forall ((P tptp.bool)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.zero_n3304061248610475627l_real P)) (tptp.zero_n3304061248610475627l_real P))))
% 19.22/19.41  (assume a5121 (forall ((P tptp.bool)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.zero_n2052037380579107095ol_rat P)) (tptp.zero_n2052037380579107095ol_rat P))))
% 19.22/19.41  (assume a5122 (forall ((P tptp.bool)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P))))
% 19.22/19.41  (assume a5123 (forall ((P tptp.bool)) (= (tptp.abs_abs_Code_integer (tptp.zero_n356916108424825756nteger P)) (tptp.zero_n356916108424825756nteger P))))
% 19.22/19.41  (assume a5124 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) tptp.zero_z3403309356797280102nteger)) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a5125 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) tptp.zero_zero_real)) (= A tptp.zero_zero_real))))
% 19.22/19.41  (assume a5126 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) tptp.zero_zero_rat)) (= A tptp.zero_zero_rat))))
% 19.22/19.41  (assume a5127 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) tptp.zero_zero_int)) (= A tptp.zero_zero_int))))
% 19.22/19.41  (assume a5128 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.22/19.41  (assume a5129 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 19.22/19.41  (assume a5130 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 19.22/19.41  (assume a5131 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)))))
% 19.22/19.41  (assume a5132 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (= (tptp.abs_abs_Code_integer A) A))))
% 19.22/19.41  (assume a5133 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real tptp.abs_abs_real A) A))))
% 19.22/19.41  (assume a5134 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) A))))
% 19.22/19.41  (assume a5135 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int tptp.abs_abs_int A) A))))
% 19.22/19.41  (assume a5136 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.abs_abs_Code_integer A))) (not (= A tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.41  (assume a5137 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real A))) (not (= A tptp.zero_zero_real)))))
% 19.22/19.41  (assume a5138 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.abs_abs_rat A))) (not (= A tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a5139 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.abs_abs_int A))) (not (= A tptp.zero_zero_int)))))
% 19.22/19.41  (assume a5140 (forall ((N tptp.num)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_num_real tptp.numeral_numeral_real N))))
% 19.22/19.41  (assume a5141 (forall ((N tptp.num)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.22/19.41  (assume a5142 (forall ((N tptp.num)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger N))))
% 19.22/19.41  (assume a5143 (forall ((N tptp.num)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))
% 19.22/19.41  (assume a5144 (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.one_one_real))
% 19.22/19.41  (assume a5145 (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.one_one_int))
% 19.22/19.41  (assume a5146 (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.one_one_Code_integer))
% 19.22/19.41  (assume a5147 (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) tptp.one_one_rat))
% 19.22/19.41  (assume a5148 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real A)) N)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.22/19.41  (assume a5149 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int A)) N)) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.22/19.41  (assume a5150 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) N)) (tptp.abs_abs_Code_integer (tptp.power_8256067586552552935nteger A N)))))
% 19.22/19.41  (assume a5151 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) N)) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.22/19.41  (assume a5152 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) X)) (tptp.aa_real_real tptp.abs_abs_real X))))
% 19.22/19.41  (assume a5153 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sqrt A)) (tptp.aa_real_real tptp.sqrt A)) (tptp.aa_real_real tptp.abs_abs_real A))))
% 19.22/19.41  (assume a5154 (forall ((N tptp.num)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.22/19.41  (assume a5155 (forall ((N tptp.num)) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.22/19.41  (assume a5156 (= (tptp.aa_real_int tptp.archim8280529875227126926d_real tptp.one_one_real) tptp.one_one_int))
% 19.22/19.41  (assume a5157 (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat tptp.one_one_rat) tptp.one_one_int))
% 19.22/19.41  (assume a5158 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.abs_abs_real B2)))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (= B2 tptp.zero_zero_real)))))
% 19.22/19.41  (assume a5159 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.abs_abs_rat B2)))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (= B2 tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a5160 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.abs_abs_real B2))) tptp.zero_zero_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (= B2 tptp.zero_zero_real)))))
% 19.22/19.41  (assume a5161 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.abs_abs_rat B2))) tptp.zero_zero_rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (= B2 tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a5162 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real A) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.22/19.41  (assume a5163 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.22/19.41  (assume a5164 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.22/19.41  (assume a5165 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int A) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.22/19.41  (assume a5166 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.artanh_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.artanh_real X))))))
% 19.22/19.41  (assume a5167 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A) N))) (or (not (= A tptp.zero_z3403309356797280102nteger)) (= N tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a5168 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N))) (or (not (= A tptp.zero_zero_real)) (= N tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a5169 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N))) (or (not (= A tptp.zero_zero_rat)) (= N tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a5170 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N))) (or (not (= A tptp.zero_zero_int)) (= N tptp.zero_zero_nat)))))
% 19.22/19.41  (assume a5171 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.power_8256067586552552935nteger A (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.power_8256067586552552935nteger A (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5172 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5173 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5174 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5175 (forall ((A tptp.code_integer)) (= (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.power_8256067586552552935nteger A (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5176 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5177 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5178 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.41  (assume a5179 (forall ((N tptp.num)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a5180 (forall ((N tptp.num)) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.41  (assume a5181 (forall ((W tptp.num) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.power_8256067586552552935nteger A (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.41  (assume a5182 (forall ((W tptp.num) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_rat (tptp.power_power_rat A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.41  (assume a5183 (forall ((W tptp.num) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.41  (assume a5184 (forall ((W tptp.num) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_nat_int (tptp.power_power_int A) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.41  (assume a5185 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.abs_abs_real X))))
% 19.22/19.41  (assume a5186 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real tptp.abs_abs_real A)))))
% 19.22/19.41  (assume a5187 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) (tptp.abs_abs_Code_integer A)))))
% 19.22/19.41  (assume a5188 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat tptp.abs_abs_rat A)))))
% 19.22/19.41  (assume a5189 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_int_int tptp.abs_abs_int A)))))
% 19.22/19.41  (assume a5190 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))
% 19.22/19.41  (assume a5191 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B2)))))
% 19.22/19.41  (assume a5192 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))
% 19.22/19.41  (assume a5193 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))
% 19.22/19.41  (assume a5194 (forall ((A tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a5195 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.41  (assume a5196 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.41  (assume a5197 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.22/19.41  (assume a5198 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer B2)))))
% 19.22/19.41  (assume a5199 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2)))))
% 19.22/19.41  (assume a5200 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2)))))
% 19.22/19.41  (assume a5201 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2)))))
% 19.22/19.41  (assume a5202 (= (tptp.abs_abs_Code_integer tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 19.22/19.41  (assume a5203 (= (tptp.aa_real_real tptp.abs_abs_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.41  (assume a5204 (= (tptp.aa_rat_rat tptp.abs_abs_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.22/19.41  (assume a5205 (= (tptp.aa_int_int tptp.abs_abs_int tptp.one_one_int) tptp.one_one_int))
% 19.22/19.41  (assume a5206 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B2)) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B2 A)))))
% 19.22/19.41  (assume a5207 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)))))
% 19.22/19.41  (assume a5208 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2)) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A)))))
% 19.22/19.41  (assume a5209 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A)))))
% 19.22/19.41  (assume a5210 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real X) (tptp.aa_real_real tptp.abs_abs_real Y)) (or (= X Y) (= X (tptp.aa_real_real tptp.uminus_uminus_real Y))))))
% 19.22/19.41  (assume a5211 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int X) (tptp.aa_int_int tptp.abs_abs_int Y)) (or (= X Y) (= X (tptp.aa_int_int tptp.uminus_uminus_int Y))))))
% 19.22/19.41  (assume a5212 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer X) (tptp.abs_abs_Code_integer Y)) (or (= X Y) (= X (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Y))))))
% 19.22/19.41  (assume a5213 (forall ((X tptp.rat) (Y tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat X) (tptp.aa_rat_rat tptp.abs_abs_rat Y)) (or (= X Y) (= X (tptp.aa_rat_rat tptp.uminus_uminus_rat Y))))))
% 19.22/19.41  (assume a5214 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.power_8256067586552552935nteger A N)) (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A) N))))
% 19.22/19.41  (assume a5215 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N))))
% 19.22/19.41  (assume a5216 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N))))
% 19.22/19.41  (assume a5217 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N))))
% 19.22/19.41  (assume a5218 (forall ((L tptp.real) (K tptp.real)) (=> (= (tptp.aa_real_real tptp.abs_abs_real L) (tptp.aa_real_real tptp.abs_abs_real K)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real L) K)))))
% 19.22/19.41  (assume a5219 (forall ((L tptp.int) (K tptp.int)) (=> (= (tptp.aa_int_int tptp.abs_abs_int L) (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)))))
% 19.22/19.41  (assume a5220 (forall ((L tptp.code_integer) (K tptp.code_integer)) (=> (= (tptp.abs_abs_Code_integer L) (tptp.abs_abs_Code_integer K)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer L) K)))))
% 19.22/19.41  (assume a5221 (forall ((L tptp.rat) (K tptp.rat)) (=> (= (tptp.aa_rat_rat tptp.abs_abs_rat L) (tptp.aa_rat_rat tptp.abs_abs_rat K)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat L) K)))))
% 19.22/19.41  (assume a5222 (forall ((Z tptp.real) (M tptp.int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real Z))))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z) (tptp.aa_int_real tptp.ring_1_of_int_real M)))))))
% 19.22/19.41  (assume a5223 (forall ((Z tptp.rat) (M tptp.int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat Z) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat Z))))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat Z) (tptp.aa_int_rat tptp.ring_1_of_int_rat M)))))))
% 19.22/19.41  (assume a5224 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.abs_abs_Code_integer A)))))
% 19.22/19.41  (assume a5225 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real A)))))
% 19.22/19.41  (assume a5226 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.abs_abs_rat A)))))
% 19.22/19.41  (assume a5227 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.abs_abs_int A)))))
% 19.22/19.41  (assume a5228 (forall ((A tptp.code_integer)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer A)) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.41  (assume a5229 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real A)) tptp.zero_zero_real)))))
% 19.22/19.41  (assume a5230 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) tptp.zero_zero_rat)))))
% 19.22/19.41  (assume a5231 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int A)) tptp.zero_zero_int)))))
% 19.22/19.41  (assume a5232 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)) (= (tptp.abs_abs_Code_integer A) A))))
% 19.22/19.41  (assume a5233 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real tptp.abs_abs_real A) A))))
% 19.22/19.41  (assume a5234 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) A))))
% 19.22/19.41  (assume a5235 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int tptp.abs_abs_int A) A))))
% 19.22/19.41  (assume a5236 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.plus_p5714425477246183910nteger A B2))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2))))))
% 19.22/19.41  (assume a5237 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))))))
% 19.22/19.41  (assume a5238 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))))))
% 19.22/19.41  (assume a5239 (forall ((A tptp.int) (B2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))))))
% 19.22/19.41  (assume a5240 (forall ((A tptp.code_integer) (C tptp.code_integer) (B2 tptp.code_integer) (D tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer A)) C)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer B2)) D)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer B2))) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger C) D)))))))
% 19.22/19.41  (assume a5241 (forall ((A tptp.real) (C tptp.real) (B2 tptp.real) (D tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real A)) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real B2)) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C) D)))))))
% 19.22/19.41  (assume a5242 (forall ((A tptp.rat) (C tptp.rat) (B2 tptp.rat) (D tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) C)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat B2)) D)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C) D)))))))
% 19.22/19.41  (assume a5243 (forall ((A tptp.int) (C tptp.int) (B2 tptp.int) (D tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int A)) C)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int B2)) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) D)))))))
% 19.22/19.41  (assume a5244 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B2))))))
% 19.22/19.41  (assume a5245 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))))
% 19.22/19.41  (assume a5246 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))))))
% 19.22/19.41  (assume a5247 (forall ((A tptp.int) (B2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))))))
% 19.22/19.41  (assume a5248 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2)))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B2))))))
% 19.22/19.41  (assume a5249 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2)))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))))
% 19.22/19.41  (assume a5250 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2)))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))))))
% 19.22/19.41  (assume a5251 (forall ((A tptp.int) (B2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2)))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))))))
% 19.22/19.41  (assume a5252 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2))) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B2 A))))))
% 19.22/19.41  (assume a5253 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A))))))
% 19.22/19.41  (assume a5254 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A))))))
% 19.22/19.41  (assume a5255 (forall ((A tptp.int) (B2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) A))))))
% 19.22/19.41  (assume a5256 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))))))
% 19.22/19.41  (assume a5257 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))))))
% 19.22/19.41  (assume a5258 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.abs_abs_real A)))))
% 19.22/19.41  (assume a5259 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.abs_abs_Code_integer A)))))
% 19.22/19.41  (assume a5260 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A)))))
% 19.22/19.41  (assume a5261 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.abs_abs_int A)))))
% 19.22/19.41  (assume a5262 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2))))))
% 19.22/19.41  (assume a5263 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2))))))
% 19.22/19.41  (assume a5264 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2))))))
% 19.22/19.41  (assume a5265 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2))))))
% 19.22/19.41  (assume a5266 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2)))))
% 19.22/19.41  (assume a5267 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2)))))
% 19.22/19.41  (assume a5268 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2)))))
% 19.22/19.41  (assume a5269 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)))))
% 19.22/19.41  (assume a5270 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) B2))))))
% 19.22/19.41  (assume a5271 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) B2)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) B2))))))
% 19.22/19.41  (assume a5272 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B2))))))
% 19.22/19.41  (assume a5273 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) B2))))))
% 19.22/19.41  (assume a5274 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real A)) B2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real A)) B2))))))
% 19.22/19.41  (assume a5275 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int A)) B2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2))))))
% 19.22/19.41  (assume a5276 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer A)) B2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) B2))))))
% 19.22/19.41  (assume a5277 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) B2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) B2))))))
% 19.22/19.41  (assume a5278 (forall ((X tptp.real)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) E2)))) (= X tptp.zero_zero_real))))
% 19.22/19.41  (assume a5279 (forall ((X tptp.rat)) (=> (forall ((E2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X)) E2)))) (= X tptp.zero_zero_rat))))
% 19.22/19.41  (assume a5280 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (=> (and (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger A) tptp.zero_z3403309356797280102nteger))) (or (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) B2)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger B2) tptp.zero_z3403309356797280102nteger)))) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer B2))))))
% 19.22/19.41  (assume a5281 (forall ((A tptp.real) (B2 tptp.real)) (=> (and (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)))) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))))))
% 19.22/19.41  (assume a5282 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (and (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) tptp.zero_zero_rat)))) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))))))
% 19.22/19.41  (assume a5283 (forall ((A tptp.int) (B2 tptp.int)) (=> (and (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)))) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))))))
% 19.22/19.41  (assume a5284 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer Y)) X) (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger Y) X))))))
% 19.22/19.41  (assume a5285 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real Y)) X) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X))))))
% 19.22/19.41  (assume a5286 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat Y)) X) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) X))))))
% 19.22/19.41  (assume a5287 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int Y)) X) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) X))))))
% 19.22/19.41  (assume a5288 (forall ((A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.abs_abs_real A))) tptp.zero_zero_real))))
% 19.22/19.41  (assume a5289 (forall ((A tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.abs_abs_Code_integer A))) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.41  (assume a5290 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A))) tptp.zero_zero_rat))))
% 19.22/19.41  (assume a5291 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.abs_abs_int A))) tptp.zero_zero_int))))
% 19.22/19.41  (assume a5292 (forall ((A tptp.real) (B2 tptp.real)) (= (= A (tptp.aa_real_real tptp.abs_abs_real B2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (or (= B2 A) (= B2 (tptp.aa_real_real tptp.uminus_uminus_real A)))))))
% 19.22/19.41  (assume a5293 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= A (tptp.abs_abs_Code_integer B2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) A)) (or (= B2 A) (= B2 (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))))
% 19.22/19.41  (assume a5294 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A (tptp.aa_rat_rat tptp.abs_abs_rat B2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (or (= B2 A) (= B2 (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))))
% 19.22/19.41  (assume a5295 (forall ((A tptp.int) (B2 tptp.int)) (= (= A (tptp.aa_int_int tptp.abs_abs_int B2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A)) (or (= B2 A) (= B2 (tptp.aa_int_int tptp.uminus_uminus_int A)))))))
% 19.22/19.41  (assume a5296 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real tptp.abs_abs_real A) B2) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (or (= A B2) (= A (tptp.aa_real_real tptp.uminus_uminus_real B2)))))))
% 19.22/19.41  (assume a5297 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (= (tptp.abs_abs_Code_integer A) B2) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) B2)) (or (= A B2) (= A (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2)))))))
% 19.22/19.41  (assume a5298 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat tptp.abs_abs_rat A) B2) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (or (= A B2) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)))))))
% 19.22/19.41  (assume a5299 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int tptp.abs_abs_int A) B2) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (or (= A B2) (= A (tptp.aa_int_int tptp.uminus_uminus_int B2)))))))
% 19.22/19.41  (assume a5300 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.abs_abs_real X)) Y) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y))))))
% 19.22/19.41  (assume a5301 (forall ((Y tptp.rat) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Y)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.abs_abs_rat X)) Y) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.divide_divide_rat X) Y))))))
% 19.22/19.41  (assume a5302 (forall ((A tptp.code_integer) (N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A) N)))))
% 19.22/19.41  (assume a5303 (forall ((A tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)))))
% 19.22/19.41  (assume a5304 (forall ((A tptp.rat) (N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N)))))
% 19.22/19.41  (assume a5305 (forall ((A tptp.int) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N)))))
% 19.22/19.41  (assume a5306 (forall ((A tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real A) (tptp.aa_real_real tptp.uminus_uminus_real A))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))) (= (tptp.aa_real_real tptp.abs_abs_real A) A)))))
% 19.22/19.41  (assume a5307 (forall ((A tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int A) (tptp.aa_int_int tptp.uminus_uminus_int A))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.abs_abs_int A) A)))))
% 19.22/19.41  (assume a5308 (forall ((A tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger))) (= (tptp.abs_abs_Code_integer A) A)))))
% 19.22/19.41  (assume a5309 (forall ((A tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) A)))))
% 19.22/19.41  (assume a5310 (forall ((X4 tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real X4) (tptp.aa_real_real tptp.uminus_uminus_real X4))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X4) tptp.zero_zero_real))) (= (tptp.aa_real_real tptp.abs_abs_real X4) X4)))))
% 19.22/19.41  (assume a5311 (forall ((X4 tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int X4) (tptp.aa_int_int tptp.uminus_uminus_int X4))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.abs_abs_int X4) X4)))))
% 19.22/19.41  (assume a5312 (forall ((X4 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X4) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer X4) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger X4))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X4) tptp.zero_z3403309356797280102nteger))) (= (tptp.abs_abs_Code_integer X4) X4)))))
% 19.22/19.41  (assume a5313 (forall ((X4 tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat X4) (tptp.aa_rat_rat tptp.uminus_uminus_rat X4))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X4) tptp.zero_zero_rat))) (= (tptp.aa_rat_rat tptp.abs_abs_rat X4) X4)))))
% 19.22/19.41  (assume a5314 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real A) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.22/19.41  (assume a5315 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int A) (tptp.aa_int_int tptp.uminus_uminus_int A)))))
% 19.22/19.41  (assume a5316 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)))))
% 19.22/19.41  (assume a5317 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A)))))
% 19.22/19.41  (assume a5318 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A B2))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2))))))
% 19.22/19.41  (assume a5319 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))))))
% 19.22/19.41  (assume a5320 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))))))
% 19.22/19.41  (assume a5321 (forall ((A tptp.int) (B2 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))))))
% 19.22/19.41  (assume a5322 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (C tptp.code_integer) (D tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger (tptp.plus_p5714425477246183910nteger A B2) (tptp.plus_p5714425477246183910nteger C D)))) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger A C)) (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger B2 D)))))))
% 19.22/19.41  (assume a5323 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) D)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) D)))))))
% 19.22/19.41  (assume a5324 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat C) D)))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) C))) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) D)))))))
% 19.22/19.41  (assume a5325 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int C) D)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) C))) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) D)))))))
% 19.22/19.41  (assume a5326 (forall ((X tptp.code_integer) (A tptp.code_integer) (R2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger X A))) R2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.minus_8373710615458151222nteger A R2)) X)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger X) (tptp.plus_p5714425477246183910nteger A R2)))))))
% 19.22/19.41  (assume a5327 (forall ((X tptp.real) (A tptp.real) (R2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) A))) R2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) R2)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) R2)))))))
% 19.22/19.41  (assume a5328 (forall ((X tptp.rat) (A tptp.rat) (R2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) A))) R2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) R2)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) R2)))))))
% 19.22/19.41  (assume a5329 (forall ((X tptp.int) (A tptp.int) (R2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) A))) R2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) R2)) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R2)))))))
% 19.22/19.41  (assume a5330 (forall ((X tptp.code_integer) (A tptp.code_integer) (R2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger X A))) R2)) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.minus_8373710615458151222nteger A R2)) X)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X) (tptp.plus_p5714425477246183910nteger A R2)))))))
% 19.22/19.41  (assume a5331 (forall ((X tptp.real) (A tptp.real) (R2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) A))) R2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) R2)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) R2)))))))
% 19.22/19.41  (assume a5332 (forall ((X tptp.rat) (A tptp.rat) (R2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) A))) R2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) R2)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) R2)))))))
% 19.22/19.41  (assume a5333 (forall ((X tptp.int) (A tptp.int) (R2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) A))) R2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) R2)) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) R2)))))))
% 19.22/19.41  (assume a5334 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X)) (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat Y))))))
% 19.22/19.41  (assume a5335 (forall ((A tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real A) (tptp.aa_real_real tptp.uminus_uminus_real A))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))) (= (tptp.aa_real_real tptp.abs_abs_real A) A)))))
% 19.22/19.41  (assume a5336 (forall ((A tptp.real) (X tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B2)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((Y4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y4))) D2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Y4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y4) B2)))))))))))
% 19.22/19.41  (assume a5337 (forall ((X tptp.real) (Y tptp.real) (U tptp.real) (V tptp.real)) (=> (= X Y) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real U)) V)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) U)) Y))) V))))))
% 19.22/19.41  (assume a5338 (forall ((X tptp.code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer (tptp.abs_abs_Code_integer X))))))
% 19.22/19.41  (assume a5339 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.abs_abs_real X))))))
% 19.22/19.41  (assume a5340 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.abs_abs_rat X))))))
% 19.22/19.41  (assume a5341 (forall ((X tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int tptp.abs_abs_int X))))))
% 19.22/19.41  (assume a5342 (forall ((N tptp.int) (X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer (tptp.ring_18347121197199848620nteger N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) X))))))
% 19.22/19.41  (assume a5343 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_int_real tptp.ring_1_of_int_real N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 19.22/19.41  (assume a5344 (forall ((N tptp.int) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) X))))))
% 19.22/19.41  (assume a5345 (forall ((N tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.ring_1_of_int_int N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) X))))))
% 19.22/19.41  (assume a5346 (forall ((N tptp.int) (X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer (tptp.ring_18347121197199848620nteger N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.one_one_Code_integer) X))))))
% 19.22/19.41  (assume a5347 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_int_real tptp.ring_1_of_int_real N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 19.22/19.41  (assume a5348 (forall ((N tptp.int) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) X))))))
% 19.22/19.41  (assume a5349 (forall ((N tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.ring_1_of_int_int N))) X)) (or (= N tptp.zero_zero_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) X))))))
% 19.22/19.41  (assume a5350 (forall ((A tptp.real) (X tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B2)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((Y4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y4))) D2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Y4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y4) B2)))))))))))
% 19.22/19.41  (assume a5351 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a5352 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X))) X))) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.41  (assume a5353 (forall ((X tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) N))))
% 19.22/19.41  (assume a5354 (forall ((X tptp.rat) (N tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat N)))) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X) N))))
% 19.22/19.41  (assume a5355 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer X)) (tptp.abs_abs_Code_integer Y))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.power_8256067586552552935nteger Y (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a5356 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a5357 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X)) (tptp.aa_rat_rat tptp.abs_abs_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a5358 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X)) (tptp.aa_int_int tptp.abs_abs_int Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.41  (assume a5359 (forall ((X tptp.code_integer)) (= (= (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_Code_integer) (= (tptp.abs_abs_Code_integer X) tptp.one_one_Code_integer))))
% 19.22/19.41  (assume a5360 (forall ((X tptp.rat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_rat) (= (tptp.aa_rat_rat tptp.abs_abs_rat X) tptp.one_one_rat))))
% 19.22/19.41  (assume a5361 (forall ((X tptp.real)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (= (tptp.aa_real_real tptp.abs_abs_real X) tptp.one_one_real))))
% 19.22/19.41  (assume a5362 (forall ((X tptp.int)) (= (= (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_int) (= (tptp.aa_int_int tptp.abs_abs_int X) tptp.one_one_int))))
% 19.22/19.41  (assume a5363 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.power_8256067586552552935nteger (tptp.abs_abs_Code_integer A) N) (tptp.power_8256067586552552935nteger A N)))))
% 19.22/19.41  (assume a5364 (forall ((N tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) N) (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.22/19.41  (assume a5365 (forall ((N tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.22/19.41  (assume a5366 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.abs_abs_int A)) N) (tptp.aa_nat_int (tptp.power_power_int A) N)))))
% 19.22/19.41  (assume a5367 (forall ((Y tptp.code_integer) (X tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) Y)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.power_8256067586552552935nteger Y (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer X)) Y))))))
% 19.22/19.41  (assume a5368 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) Y))))))
% 19.22/19.41  (assume a5369 (forall ((Y tptp.rat) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) Y)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_rat (tptp.power_power_rat Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X)) Y))))))
% 19.22/19.41  (assume a5370 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_int (tptp.power_power_int Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X)) Y))))))
% 19.22/19.41  (assume a5371 (forall ((X tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer X)) tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a5372 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)))))
% 19.22/19.41  (assume a5373 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat X)) tptp.one_one_rat)))))
% 19.22/19.41  (assume a5374 (forall ((X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int X)) tptp.one_one_int)))))
% 19.22/19.41  (assume a5375 (forall ((X tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer X)) tptp.one_one_Code_integer)))))
% 19.22/19.41  (assume a5376 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)))))
% 19.22/19.41  (assume a5377 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat X)) tptp.one_one_rat)))))
% 19.22/19.41  (assume a5378 (forall ((X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int X)) tptp.one_one_int)))))
% 19.22/19.41  (assume a5379 (forall ((N tptp.nat) (A tptp.code_integer) (B2 tptp.code_integer)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.power_8256067586552552935nteger A N)) (tptp.power_8256067586552552935nteger B2 N)))))))
% 19.22/19.41  (assume a5380 (forall ((N tptp.nat) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)))))))
% 19.22/19.41  (assume a5381 (forall ((N tptp.nat) (A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat B2) N)))))))
% 19.22/19.41  (assume a5382 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int B2) N)))))))
% 19.22/19.41  (assume a5383 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.sqrt Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)))))
% 19.22/19.41  (assume a5384 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a5385 (forall ((Y tptp.real) (X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a5386 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real Y))))))
% 19.22/19.42  (assume a5387 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) tptp.one_one_real))))
% 19.22/19.42  (assume a5388 (forall ((X tptp.real) (U tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real U) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U))))))
% 19.22/19.42  (assume a5389 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X))) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a5390 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim8280529875227126926d_real X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a5391 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a5392 (forall ((P tptp.fun_Co8310303586393106575r_bool) (X tptp.code_integer)) (=> (forall ((X3 tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.zero_z3403309356797280102nteger) X3)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool P X3) (tptp.power_8256067586552552935nteger X3 (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool P (tptp.abs_abs_Code_integer X)) (tptp.power_8256067586552552935nteger X (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a5393 (forall ((P tptp.fun_re1255401033344146673l_bool) (X tptp.real)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P X3) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a5394 (forall ((P tptp.fun_rat_fun_rat_bool) (X tptp.rat)) (=> (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P X3) (tptp.aa_nat_rat (tptp.power_power_rat X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P (tptp.aa_rat_rat tptp.abs_abs_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a5395 (forall ((P tptp.fun_int_fun_int_bool) (X tptp.int)) (=> (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P X3) (tptp.aa_nat_int (tptp.power_power_int X3) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int tptp.abs_abs_int X)) (tptp.aa_nat_int (tptp.power_power_int X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a5396 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a5397 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arctan X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.42  (assume a5398 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.exp_real tptp.one_one_real))) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 19.22/19.42  (assume a5399 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))))))
% 19.22/19.42  (assume a5400 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.exp_real tptp.one_one_real))) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 19.22/19.42  (assume a5401 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X))))))))
% 19.22/19.42  (assume a5402 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= M N))))
% 19.22/19.42  (assume a5403 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= M N))))
% 19.22/19.42  (assume a5404 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (= M N))))
% 19.22/19.42  (assume a5405 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= M N))))
% 19.22/19.42  (assume a5406 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= M N))))
% 19.22/19.42  (assume a5407 (forall ((N tptp.nat)) (= (tptp.abs_abs_Code_integer (tptp.semiri4939895301339042750nteger N)) (tptp.semiri4939895301339042750nteger N))))
% 19.22/19.42  (assume a5408 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))
% 19.22/19.42  (assume a5409 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))
% 19.22/19.42  (assume a5410 (forall ((N tptp.nat)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))
% 19.22/19.42  (assume a5411 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M) tptp.zero_zero_complex) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5412 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M) tptp.zero_zero_real) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5413 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M) tptp.zero_zero_rat) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5414 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M) tptp.zero_zero_nat) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5415 (forall ((M tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M) tptp.zero_zero_int) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5416 (forall ((N tptp.nat)) (= (= tptp.zero_zero_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= tptp.zero_zero_nat N))))
% 19.22/19.42  (assume a5417 (forall ((N tptp.nat)) (= (= tptp.zero_zero_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= tptp.zero_zero_nat N))))
% 19.22/19.42  (assume a5418 (forall ((N tptp.nat)) (= (= tptp.zero_zero_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (= tptp.zero_zero_nat N))))
% 19.22/19.42  (assume a5419 (forall ((N tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= tptp.zero_zero_nat N))))
% 19.22/19.42  (assume a5420 (forall ((N tptp.nat)) (= (= tptp.zero_zero_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= tptp.zero_zero_nat N))))
% 19.22/19.42  (assume a5421 (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex tptp.zero_zero_nat) tptp.zero_zero_complex))
% 19.22/19.42  (assume a5422 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.zero_zero_nat) tptp.zero_zero_real))
% 19.22/19.42  (assume a5423 (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat tptp.zero_zero_nat) tptp.zero_zero_rat))
% 19.22/19.42  (assume a5424 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.zero_zero_nat) tptp.zero_zero_nat))
% 19.22/19.42  (assume a5425 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 19.22/19.42  (assume a5426 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5427 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5428 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5429 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5430 (forall ((N tptp.num)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.numera6690914467698888265omplex N))))
% 19.22/19.42  (assume a5431 (forall ((N tptp.num)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_real tptp.numeral_numeral_real N))))
% 19.22/19.42  (assume a5432 (forall ((N tptp.num)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))))
% 19.22/19.42  (assume a5433 (forall ((N tptp.num)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))
% 19.22/19.42  (assume a5434 (forall ((N tptp.num)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.22/19.42  (assume a5435 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.42  (assume a5436 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.42  (assume a5437 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.42  (assume a5438 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.42  (assume a5439 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))))
% 19.22/19.42  (assume a5440 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 19.22/19.42  (assume a5441 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 19.22/19.42  (assume a5442 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a5443 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a5444 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))))
% 19.22/19.42  (assume a5445 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 19.22/19.42  (assume a5446 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 19.22/19.42  (assume a5447 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a5448 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a5449 (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex tptp.one_one_nat) tptp.one_one_complex))
% 19.22/19.42  (assume a5450 (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.one_one_nat) tptp.one_one_real))
% 19.22/19.42  (assume a5451 (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat tptp.one_one_nat) tptp.one_one_rat))
% 19.22/19.42  (assume a5452 (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat tptp.one_one_nat) tptp.one_one_nat))
% 19.22/19.42  (assume a5453 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 19.22/19.42  (assume a5454 (forall ((N tptp.nat)) (= (= tptp.one_one_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5455 (forall ((N tptp.nat)) (= (= tptp.one_one_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5456 (forall ((N tptp.nat)) (= (= tptp.one_one_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5457 (forall ((N tptp.nat)) (= (= tptp.one_one_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5458 (forall ((N tptp.nat)) (= (= tptp.one_one_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5459 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N) tptp.one_one_complex) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5460 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) tptp.one_one_real) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5461 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N) tptp.one_one_rat) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5462 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) tptp.one_one_nat) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5463 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N) tptp.one_one_int) (= N tptp.one_one_nat))))
% 19.22/19.42  (assume a5464 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) N))))
% 19.22/19.42  (assume a5465 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) N))))
% 19.22/19.42  (assume a5466 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) N))))
% 19.22/19.42  (assume a5467 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) N))))
% 19.22/19.42  (assume a5468 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat M) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) N))))
% 19.22/19.42  (assume a5469 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex B2)) W) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W) X))))
% 19.22/19.42  (assume a5470 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) W) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W) X))))
% 19.22/19.42  (assume a5471 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B2)) W) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W) X))))
% 19.22/19.42  (assume a5472 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B2)) W) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W) X))))
% 19.22/19.42  (assume a5473 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)) W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W) X))))
% 19.22/19.42  (assume a5474 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex B2)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)))))
% 19.22/19.42  (assume a5475 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)))))
% 19.22/19.42  (assume a5476 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B2)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)))))
% 19.22/19.42  (assume a5477 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B2)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)))))
% 19.22/19.42  (assume a5478 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)) W)) (= X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)))))
% 19.22/19.42  (assume a5479 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int Z)) tptp.one_one_int)) (= Z tptp.zero_zero_int))))
% 19.22/19.42  (assume a5480 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) tptp.one_one_real) tptp.zero_zero_real)))
% 19.22/19.42  (assume a5481 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5482 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arctan X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 19.22/19.42  (assume a5483 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arctan X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.42  (assume a5484 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arctan X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5485 (forall ((P tptp.bool)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n1201886186963655149omplex P))))
% 19.22/19.42  (assume a5486 (forall ((P tptp.bool)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n3304061248610475627l_real P))))
% 19.22/19.42  (assume a5487 (forall ((P tptp.bool)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2052037380579107095ol_rat P))))
% 19.22/19.42  (assume a5488 (forall ((P tptp.bool)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n2687167440665602831ol_nat P))))
% 19.22/19.42  (assume a5489 (forall ((P tptp.bool)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.zero_n2687167440665602831ol_nat P)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int P))))
% 19.22/19.42  (assume a5490 (forall ((P tptp.bool)) (= (tptp.semiri4939895301339042750nteger (tptp.zero_n2687167440665602831ol_nat P)) (tptp.zero_n356916108424825756nteger P))))
% 19.22/19.42  (assume a5491 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) tptp.zero_zero_real)) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5492 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) tptp.zero_zero_rat)) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5493 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) tptp.zero_zero_nat)) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5494 (forall ((M tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) tptp.zero_zero_int)) (= M tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5495 (forall ((M tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)))))
% 19.22/19.42  (assume a5496 (forall ((M tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)))))
% 19.22/19.42  (assume a5497 (forall ((M tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)))))
% 19.22/19.42  (assume a5498 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)))))
% 19.22/19.42  (assume a5499 (forall ((M tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))
% 19.22/19.42  (assume a5500 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M)) N)))))
% 19.22/19.42  (assume a5501 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 19.22/19.42  (assume a5502 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M)) N)))))
% 19.22/19.42  (assume a5503 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 19.22/19.42  (assume a5504 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) A) tptp.one_one_real)))))
% 19.22/19.42  (assume a5505 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))))
% 19.22/19.42  (assume a5506 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) A)))))))
% 19.22/19.42  (assume a5507 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)))))))
% 19.22/19.42  (assume a5508 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))))
% 19.22/19.42  (assume a5509 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)))))))
% 19.22/19.42  (assume a5510 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 19.22/19.42  (assume a5511 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))))
% 19.22/19.42  (assume a5512 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a5513 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a5514 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a5515 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a5516 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5517 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B2)) W)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5518 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B2)) W)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5519 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)) W)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5520 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5521 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5522 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5523 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5524 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Y) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 19.22/19.42  (assume a5525 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 19.22/19.42  (assume a5526 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Y) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 19.22/19.42  (assume a5527 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 19.22/19.42  (assume a5528 (forall ((Y tptp.nat) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)))))
% 19.22/19.42  (assume a5529 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex X)) N) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 19.22/19.42  (assume a5530 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 19.22/19.42  (assume a5531 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 19.22/19.42  (assume a5532 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 19.22/19.42  (assume a5533 (forall ((X tptp.num) (N tptp.nat) (Y tptp.nat)) (= (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) Y))))
% 19.22/19.42  (assume a5534 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5535 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B2)) W)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5536 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B2)) W)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5537 (forall ((B2 tptp.nat) (W tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)) W)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W)) X)))))
% 19.22/19.42  (assume a5538 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5539 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5540 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5541 (forall ((X tptp.nat) (B2 tptp.nat) (W tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)) W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) W))))))
% 19.22/19.42  (assume a5542 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) N)))))
% 19.22/19.42  (assume a5543 (forall ((N tptp.nat) (W tptp.num)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.42  (assume a5544 (forall ((N tptp.num) (M tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) M)))))
% 19.22/19.42  (assume a5545 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)))))))
% 19.22/19.42  (assume a5546 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)))))))
% 19.22/19.42  (assume a5547 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X)))))))
% 19.22/19.42  (assume a5548 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) A)))))))
% 19.22/19.42  (assume a5549 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))))
% 19.22/19.42  (assume a5550 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 19.22/19.42  (assume a5551 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 19.22/19.42  (assume a5552 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W)))) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) N)))))
% 19.22/19.42  (assume a5553 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 19.22/19.42  (assume a5554 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat W)) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 19.22/19.42  (assume a5555 (forall ((W tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W)))) (tptp.aa_nat_nat tptp.suc N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) N))))))
% 19.22/19.42  (assume a5556 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5557 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5558 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5559 (forall ((X tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) N))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5560 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.42  (assume a5561 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.42  (assume a5562 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) tptp.zero_zero_nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.42  (assume a5563 (forall ((A tptp.real) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) B2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2))))))
% 19.22/19.42  (assume a5564 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 W)))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int W))) (tptp.aa_num_nat tptp.pred_numeral N))))))
% 19.22/19.42  (assume a5565 (forall ((W tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 W)))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int W)) (tptp.aa_num_nat tptp.pred_numeral N)))))))
% 19.22/19.42  (assume a5566 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.42  (assume a5567 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.42  (assume a5568 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.42  (assume a5569 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5570 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5571 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5572 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5573 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5574 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5575 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5576 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5577 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5578 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5579 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5580 (forall ((I tptp.num) (N tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N)) X)))))
% 19.22/19.42  (assume a5581 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5582 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5583 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5584 (forall ((X tptp.nat) (I tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int I)) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat I)) N))))))
% 19.22/19.42  (assume a5585 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.modulo364778990260209775nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.42  (assume a5586 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.42  (assume a5587 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (and (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.42  (assume a5588 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_num_int tptp.numeral_numeral_int M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 19.22/19.42  (assume a5589 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 19.22/19.42  (assume a5590 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M) N)))))
% 19.22/19.42  (assume a5591 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M) N)))))
% 19.22/19.42  (assume a5592 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B2) N3))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B2) N)))))))
% 19.22/19.42  (assume a5593 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (=> (forall ((N3 tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B2) N3))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B2) N)))))))
% 19.22/19.42  (assume a5594 (forall ((X tptp.real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))))))
% 19.22/19.42  (assume a5595 (forall ((X tptp.rat)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N3))))))
% 19.22/19.42  (assume a5596 (forall ((X tptp.real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))))))
% 19.22/19.42  (assume a5597 (forall ((X tptp.rat)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N3))))))
% 19.22/19.42  (assume a5598 (forall ((X tptp.nat) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X)) Y) (tptp.aa_complex_complex (tptp.times_times_complex Y) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex X)))))
% 19.22/19.42  (assume a5599 (forall ((X tptp.nat) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)))))
% 19.22/19.42  (assume a5600 (forall ((X tptp.nat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)) Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat X)))))
% 19.22/19.42  (assume a5601 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Y) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat X)))))
% 19.22/19.42  (assume a5602 (forall ((X tptp.nat) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Y) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)))))
% 19.22/19.42  (assume a5603 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B2) N))))))
% 19.22/19.42  (assume a5604 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B2) N))))))
% 19.22/19.42  (assume a5605 (forall ((K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) N))))))
% 19.22/19.42  (assume a5606 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.42  (assume a5607 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))))))
% 19.22/19.42  (assume a5608 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.42  (assume a5609 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y))))))
% 19.22/19.42  (assume a5610 (forall ((M tptp.nat) (A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (= M N))))))
% 19.22/19.42  (assume a5611 (forall ((M tptp.nat) (A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (= M N))))))
% 19.22/19.42  (assume a5612 (forall ((B2 tptp.real) (N tptp.nat) (M tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)) M)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) M)))))))
% 19.22/19.42  (assume a5613 (forall ((M tptp.nat) (B2 tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)))))))
% 19.22/19.42  (assume a5614 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_int_real tptp.ring_1_of_int_real X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X)))))
% 19.22/19.42  (assume a5615 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X)))))
% 19.22/19.42  (assume a5616 (forall ((N tptp.nat) (X tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_int_int tptp.ring_1_of_int_int X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) X)))))
% 19.22/19.42  (assume a5617 (forall ((B2 tptp.real) (N tptp.nat) (M tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N)) M)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) M)))))))
% 19.22/19.42  (assume a5618 (forall ((A tptp.real) (N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 19.22/19.42  (assume a5619 (forall ((X tptp.real) (B2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X))))))
% 19.22/19.42  (assume a5620 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.42  (assume a5621 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.42  (assume a5622 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) N)) (= N tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5623 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) N)) (= N tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5624 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int tptp.one_one_int) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.42  (assume a5625 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.42  (assume a5626 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 19.22/19.42  (assume a5627 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 19.22/19.42  (assume a5628 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a5629 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a5630 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5631 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a5632 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5633 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) tptp.zero_zero_int)))))
% 19.22/19.42  (assume a5634 (forall ((M tptp.nat) (A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 19.22/19.42  (assume a5635 (forall ((M tptp.nat) (A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M) A)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 19.22/19.42  (assume a5636 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_complex))))
% 19.22/19.42  (assume a5637 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_real))))
% 19.22/19.42  (assume a5638 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_rat))))
% 19.22/19.42  (assume a5639 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5640 (forall ((N tptp.nat)) (not (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)) tptp.zero_zero_int))))
% 19.22/19.42  (assume a5641 (forall ((B2 tptp.bool) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.zero_n356916108424825756nteger B2)) N)) (and (tptp.pp B2) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5642 (forall ((B2 tptp.bool) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int B2)) N)) (and (tptp.pp B2) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5643 (forall ((B2 tptp.bool) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.zero_n2687167440665602831ol_nat B2)) N)) (and (tptp.pp B2) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5644 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a5645 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a5646 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 19.22/19.42  (assume a5647 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))
% 19.22/19.42  (assume a5648 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))))))
% 19.22/19.42  (assume a5649 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.42  (assume a5650 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5651 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5652 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5653 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.42  (assume a5654 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real I)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real J))))))
% 19.22/19.42  (assume a5655 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat I)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat J))))))
% 19.22/19.42  (assume a5656 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat I)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat J))))))
% 19.22/19.42  (assume a5657 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int I)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int J))))))
% 19.22/19.42  (assume a5658 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a5659 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a5660 (forall ((A tptp.real) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real tptp.ln_ln_real A)))))
% 19.22/19.42  (assume a5661 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.semiri4939895301339042750nteger M)) (tptp.semiri4939895301339042750nteger N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)))))
% 19.22/19.42  (assume a5662 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)))))
% 19.22/19.42  (assume a5663 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) N)))))
% 19.22/19.42  (assume a5664 (forall ((A tptp.int) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))
% 19.22/19.42  (assume a5665 (forall ((M tptp.int) (N tptp.int)) (=> (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M) N)) tptp.one_one_int) (= (tptp.aa_int_int tptp.abs_abs_int M) tptp.one_one_int))))
% 19.22/19.42  (assume a5666 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.semiri4939895301339042750nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) (tptp.modulo364778990260209775nteger (tptp.semiri4939895301339042750nteger M) (tptp.semiri4939895301339042750nteger N)))))
% 19.22/19.42  (assume a5667 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a5668 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a5669 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Y) X)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.abs_abs_int X)) (tptp.aa_int_int tptp.abs_abs_int Y))))))
% 19.22/19.42  (assume a5670 (forall ((M tptp.nat) (N tptp.nat)) (=> (= M (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))))))
% 19.22/19.42  (assume a5671 (forall ((M tptp.nat) (B2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.22/19.42  (assume a5672 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)))))
% 19.22/19.42  (assume a5673 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) M)))))
% 19.22/19.42  (assume a5674 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a5675 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a5676 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))
% 19.22/19.42  (assume a5677 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N)) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))))
% 19.22/19.42  (assume a5678 (forall ((M tptp.nat) (B2 tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) N))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.22/19.42  (assume a5679 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) X)))))))
% 19.22/19.42  (assume a5680 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N3)) X)))))))
% 19.22/19.42  (assume a5681 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))))))
% 19.22/19.42  (assume a5682 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 19.22/19.42  (assume a5683 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))
% 19.22/19.42  (assume a5684 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))))))
% 19.22/19.42  (assume a5685 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.42  (assume a5686 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int K)) tptp.one_one_int)) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 19.22/19.42  (assume a5687 (forall ((N tptp.nat) (X tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) X)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X)) N))))
% 19.22/19.42  (assume a5688 (forall ((N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real X)) N))))
% 19.22/19.42  (assume a5689 (forall ((X tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X)) N))))
% 19.22/19.42  (assume a5690 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real X)) N))))
% 19.22/19.42  (assume a5691 (forall ((I tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int I) (tptp.aa_int_int tptp.uminus_uminus_int I))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.abs_abs_int I) I)))))
% 19.22/19.42  (assume a5692 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (forall ((Y4 tptp.real)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) X))))))))
% 19.22/19.42  (assume a5693 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_real_real tptp.exp_real tptp.one_one_real)) X))))
% 19.22/19.42  (assume a5694 (forall ((N tptp.nat) (X tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))))))
% 19.22/19.42  (assume a5695 (forall ((L tptp.int) (K tptp.int)) (=> (not (= L tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L))) (tptp.aa_int_int tptp.abs_abs_int L))))))
% 19.22/19.42  (assume a5696 (forall ((D tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat D) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real D))))))
% 19.22/19.42  (assume a5697 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)))))))
% 19.22/19.42  (assume a5698 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)))))))
% 19.22/19.42  (assume a5699 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) A) (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.if_fun5757141600869472092nt_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N) tptp.bit_se4203085406695923979it_int tptp.bit_se7879613467334960850it_int) N) A))))
% 19.22/19.42  (assume a5700 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_fun6060303171108177060at_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N) tptp.bit_se4205575877204974255it_nat tptp.bit_se7882103937844011126it_nat) N) A))))
% 19.22/19.42  (assume a5701 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 19.22/19.42  (assume a5702 (forall ((A tptp.real) (B2 tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) B2)))))))
% 19.22/19.42  (assume a5703 (forall ((A tptp.code_integer) (M tptp.nat) (N tptp.nat)) (= (tptp.modulo364778990260209775nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.semiri4939895301339042750nteger M)) (tptp.semiri4939895301339042750nteger N))) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.semiri4939895301339042750nteger M)) (tptp.modulo364778990260209775nteger (tptp.divide6298287555418463151nteger A (tptp.semiri4939895301339042750nteger M)) (tptp.semiri4939895301339042750nteger N))) (tptp.modulo364778990260209775nteger A (tptp.semiri4939895301339042750nteger M))))))
% 19.22/19.42  (assume a5704 (forall ((A tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M))) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M))))))
% 19.22/19.42  (assume a5705 (forall ((A tptp.int) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))))))
% 19.22/19.42  (assume a5706 (forall ((N tptp.nat) (M tptp.nat) (K tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) K)))))))
% 19.22/19.42  (assume a5707 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))))
% 19.22/19.42  (assume a5708 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 19.22/19.42  (assume a5709 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)))))
% 19.22/19.42  (assume a5710 (forall ((M tptp.nat) (K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_concat_bit M K) L)) N)) (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M))))))))
% 19.22/19.42  (assume a5711 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))))))
% 19.22/19.42  (assume a5712 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) tptp.one_one_real))))))
% 19.22/19.42  (assume a5713 (forall ((M tptp.int) (N tptp.int)) (=> (not (= M tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M) N)) M)) (= (tptp.aa_int_int tptp.abs_abs_int N) tptp.one_one_int)))))
% 19.22/19.42  (assume a5714 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 19.22/19.42  (assume a5715 (forall ((X tptp.nat) (D tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) D))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) D))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real D))))))
% 19.22/19.42  (assume a5716 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) K) (tptp.aa_int_int (tptp.bit_concat_bit N K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))))))
% 19.22/19.42  (assume a5717 (forall ((N tptp.nat) (A tptp.int)) (=> (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 19.22/19.42  (assume a5718 (forall ((N tptp.nat) (A tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 19.22/19.42  (assume a5719 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) N)))))
% 19.22/19.42  (assume a5720 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) (tptp.aa_nat_nat tptp.suc N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) N)))))
% 19.22/19.42  (assume a5721 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.42  (assume a5722 (forall ((A tptp.int) (N tptp.nat)) (=> (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.42  (assume a5723 (forall ((A tptp.nat) (N tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.42  (assume a5724 (forall ((A tptp.code_integer)) (=> (forall ((N3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N3)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 19.22/19.42  (assume a5725 (forall ((A tptp.int)) (=> (forall ((N3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N3)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 19.22/19.42  (assume a5726 (forall ((A tptp.nat)) (=> (forall ((N3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))
% 19.22/19.42  (assume a5727 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y)))))))))
% 19.22/19.42  (assume a5728 (forall ((E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (not (forall ((N3 tptp.nat)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N3)))) E))))))))
% 19.22/19.42  (assume a5729 (forall ((E tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) E)) (not (forall ((N3 tptp.nat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N3)))) E))))))))
% 19.22/19.42  (assume a5730 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.42  (assume a5731 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.42  (assume a5732 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.42  (assume a5733 (forall ((K tptp.int)) (not (forall ((N3 tptp.nat)) (=> (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N3) M5)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) M5)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N3))))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N3) tptp.one_one_nat))) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N3)))))))))))
% 19.22/19.42  (assume a5734 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) Y)))))))))
% 19.22/19.42  (assume a5735 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.22/19.42  (assume a5736 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M))) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))))
% 19.22/19.42  (assume a5737 (forall ((N tptp.nat) (X tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)))) N) (tptp.aa_complex_complex tptp.exp_complex X)))))
% 19.22/19.42  (assume a5738 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N) (tptp.aa_real_real tptp.exp_real X)))))
% 19.22/19.42  (assume a5739 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int K)) L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 19.22/19.42  (assume a5740 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_int_int tptp.abs_abs_int L)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L))))))
% 19.22/19.42  (assume a5741 (forall ((X tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) C)) (=> (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M4)) X)) C)))) (= X tptp.zero_zero_real))))))
% 19.22/19.42  (assume a5742 (forall ((N tptp.nat) (X tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) X)))))))
% 19.22/19.42  (assume a5743 (forall ((N tptp.nat) (X tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) X)))) tptp.one_one_real))))
% 19.22/19.42  (assume a5744 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 19.22/19.42  (assume a5745 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.divide6298287555418463151nteger A (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N))))))))
% 19.22/19.42  (assume a5746 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.42  (assume a5747 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.42  (assume a5748 (forall ((A tptp.int) (N tptp.nat)) (= (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_int) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N))))))
% 19.22/19.42  (assume a5749 (forall ((A tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N))))))
% 19.22/19.42  (assume a5750 (forall ((A tptp.real) (B2 tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (not (= B2 tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real B2)) (tptp.aa_real_real tptp.ln_ln_real A))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X))))))))))
% 19.22/19.42  (assume a5751 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.42  (assume a5752 (forall ((M tptp.nat) (N tptp.nat) (F tptp.fun_nat_int) (K tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) I3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc I3))) (tptp.aa_nat_int F I3)))) tptp.one_one_int)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F M)) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_nat_int F N))) (exists ((I3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) I3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) N)) (= (tptp.aa_nat_int F I3) K)))))))))
% 19.22/19.42  (assume a5753 (forall ((D tptp.int) (X tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Z))) tptp.one_one_int)) D))) Z)))))
% 19.22/19.42  (assume a5754 (forall ((D tptp.int) (Z tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Z))) tptp.one_one_int)) D)))))))
% 19.22/19.42  (assume a5755 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) tptp.one_one_real)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) N))))))
% 19.22/19.42  (assume a5756 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) N))))))
% 19.22/19.42  (assume a5757 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.plus_p5714425477246183910nteger tptp.one_one_Code_integer A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (= N tptp.zero_zero_nat))))))
% 19.22/19.42  (assume a5758 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (= N tptp.zero_zero_nat))))))
% 19.22/19.42  (assume a5759 (forall ((A tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) A)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (= N tptp.zero_zero_nat))))))
% 19.22/19.42  (assume a5760 (forall ((A tptp.code_integer) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.minus_8373710615458151222nteger A tptp.one_one_Code_integer)) N)) (= N tptp.zero_zero_nat))))))
% 19.22/19.42  (assume a5761 (forall ((A tptp.int) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.one_one_int)) N)) (= N tptp.zero_zero_nat))))))
% 19.22/19.42  (assume a5762 (forall ((A tptp.nat) (N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) tptp.one_one_nat)) N)) (= N tptp.zero_zero_nat))))))
% 19.22/19.42  (assume a5763 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F (tptp.aa_nat_nat tptp.suc I3))) (tptp.aa_nat_int F I3)))) tptp.one_one_int)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F tptp.zero_zero_nat)) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_nat_int F N))) (exists ((I3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) N)) (= (tptp.aa_nat_int F I3) K))))))))
% 19.22/19.42  (assume a5764 (forall ((A tptp.code_integer) (B2 tptp.code_integer) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.plus_p5714425477246183910nteger A (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) N))))))))
% 19.22/19.42  (assume a5765 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) N))))))))
% 19.22/19.42  (assume a5766 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (=> (forall ((J2 tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) (tptp.aa_nat_nat tptp.suc J2))))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) N))))))))
% 19.22/19.42  (assume a5767 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.divide6298287555418463151nteger A (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a5768 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a5769 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (and (=> (= N tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a5770 (forall ((N tptp.nat) (F tptp.fun_nat_int) (K tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I3) tptp.one_one_nat))) (tptp.aa_nat_int F I3)))) tptp.one_one_int)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int F tptp.zero_zero_nat)) K)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_nat_int F N))) (exists ((I3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) N)) (= (tptp.aa_nat_int F I3) K))))))))
% 19.22/19.42  (assume a5771 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.42  (assume a5772 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.42  (assume a5773 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)))))))))
% 19.22/19.42  (assume a5774 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 19.22/19.42  (assume a5775 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) X)) N))))))
% 19.22/19.42  (assume a5776 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) N)) (tptp.aa_real_real tptp.exp_real X)))))))
% 19.22/19.42  (assume a5777 (forall ((H tptp.real) (Z tptp.real) (K5 tptp.real) (N tptp.nat)) (=> (not (= H tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) K5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) H))) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) H)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) N))) H)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real K5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real H)))))))))
% 19.22/19.42  (assume a5778 (forall ((H tptp.complex) (Z tptp.complex) (K5 tptp.real) (N tptp.nat)) (=> (not (= H tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) K5)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) H))) K5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) H)) N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) N))) H)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real K5) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex H)))))))))
% 19.22/19.42  (assume a5779 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))) tptp.one_one_int)))))
% 19.22/19.42  (assume a5780 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))) N)))))
% 19.22/19.42  (assume a5781 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) N)))))
% 19.22/19.42  (assume a5782 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) Z)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) N)))))
% 19.22/19.42  (assume a5783 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N)))))))
% 19.22/19.42  (assume a5784 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) tptp.one_one_int)))))
% 19.22/19.42  (assume a5785 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one)))))))))))))
% 19.22/19.42  (assume a5786 (forall ((X tptp.real)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) X) (exists ((N5 tptp.int)) (= X (tptp.aa_int_real tptp.ring_1_of_int_real N5))))))
% 19.22/19.42  (assume a5787 (forall ((X tptp.rat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) X) (exists ((N5 tptp.int)) (= X (tptp.aa_int_rat tptp.ring_1_of_int_rat N5))))))
% 19.22/19.42  (assume a5788 (forall ((X tptp.rat)) (= (= (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) X) (exists ((N5 tptp.int)) (= X (tptp.aa_int_rat tptp.ring_1_of_int_rat N5))))))
% 19.22/19.42  (assume a5789 (forall ((X tptp.real)) (= (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) X) (exists ((N5 tptp.int)) (= X (tptp.aa_int_real tptp.ring_1_of_int_real N5))))))
% 19.22/19.42  (assume a5790 (forall ((M tptp.nat) (V tptp.num)) (= (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M) (tptp.aa_num_int tptp.numeral_numeral_int V)) (= M (tptp.aa_num_nat tptp.numeral_numeral_nat V)))))
% 19.22/19.42  (assume a5791 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_num_int tptp.numeral_numeral_int V))))
% 19.22/19.42  (assume a5792 (forall ((V tptp.num)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_num_int tptp.numeral_numeral_int V))))
% 19.22/19.42  (assume a5793 (= (tptp.aa_real_int tptp.archim6058952711729229775r_real tptp.one_one_real) tptp.one_one_int))
% 19.22/19.42  (assume a5794 (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat tptp.one_one_rat) tptp.one_one_int))
% 19.22/19.42  (assume a5795 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_num_real tptp.numeral_numeral_real V)) (tptp.aa_num_int tptp.numeral_numeral_int V))))
% 19.22/19.42  (assume a5796 (forall ((V tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) (tptp.aa_num_int tptp.numeral_numeral_int V))))
% 19.22/19.42  (assume a5797 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 19.22/19.42  (assume a5798 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 19.22/19.42  (assume a5799 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) tptp.zero_zero_nat) tptp.one_one_rat)))
% 19.22/19.42  (assume a5800 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.22/19.42  (assume a5801 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 19.22/19.42  (assume a5802 (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat tptp.one_one_rat) tptp.one_one_int))
% 19.22/19.42  (assume a5803 (= (tptp.aa_real_int tptp.archim7802044766580827645g_real tptp.one_one_real) tptp.one_one_int))
% 19.22/19.42  (assume a5804 (forall ((N tptp.nat) (M tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))
% 19.22/19.42  (assume a5805 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) Z))))
% 19.22/19.42  (assume a5806 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) Z))))
% 19.22/19.42  (assume a5807 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) Z))))
% 19.22/19.42  (assume a5808 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) Z))))
% 19.22/19.42  (assume a5809 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) Z))))
% 19.22/19.42  (assume a5810 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) Z))))
% 19.22/19.42  (assume a5811 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.42  (assume a5812 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)))))
% 19.22/19.42  (assume a5813 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5814 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a5815 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real V)) X)))))
% 19.22/19.42  (assume a5816 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) X)))))
% 19.22/19.42  (assume a5817 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 19.22/19.42  (assume a5818 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) X)))))
% 19.22/19.42  (assume a5819 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))
% 19.22/19.42  (assume a5820 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.one_one_rat)))))
% 19.22/19.42  (assume a5821 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5822 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a5823 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 19.22/19.42  (assume a5824 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat V))))))
% 19.22/19.42  (assume a5825 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)))))
% 19.22/19.42  (assume a5826 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 19.22/19.42  (assume a5827 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)))))
% 19.22/19.42  (assume a5828 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) X)))))
% 19.22/19.42  (assume a5829 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))))))
% 19.22/19.42  (assume a5830 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat V))))))
% 19.22/19.42  (assume a5831 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)))))
% 19.22/19.42  (assume a5832 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.one_one_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.one_one_rat)))))
% 19.22/19.42  (assume a5833 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5834 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) tptp.one_one_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a5835 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)))))
% 19.22/19.42  (assume a5836 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 19.22/19.42  (assume a5837 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real tptp.numeral_numeral_real V)) X)))))
% 19.22/19.42  (assume a5838 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) X)))))
% 19.22/19.42  (assume a5839 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5840 (forall ((V tptp.num)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5841 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)))))
% 19.22/19.42  (assume a5842 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) tptp.one_one_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.one_one_rat)))))
% 19.22/19.42  (assume a5843 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) X)))))
% 19.22/19.42  (assume a5844 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)))))
% 19.22/19.42  (assume a5845 (forall ((X tptp.real) (V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5846 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5847 (forall ((X tptp.real) (V tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5848 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5849 (forall ((V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5850 (forall ((V tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5851 (forall ((X tptp.rat)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) tptp.one_one_rat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) tptp.one_one_int))))
% 19.22/19.42  (assume a5852 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int))))
% 19.22/19.42  (assume a5853 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int))))
% 19.22/19.42  (assume a5854 (forall ((X tptp.rat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) tptp.one_one_rat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.one_one_int))))
% 19.22/19.42  (assume a5855 (forall ((X tptp.real) (V tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_num_real tptp.numeral_numeral_real V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5856 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat V))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_num_int tptp.numeral_numeral_int V)))))
% 19.22/19.42  (assume a5857 (forall ((X tptp.rat)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) tptp.one_one_rat)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) tptp.one_one_int))))
% 19.22/19.42  (assume a5858 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.one_one_real)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.one_one_int))))
% 19.22/19.42  (assume a5859 (forall ((X tptp.num) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))
% 19.22/19.42  (assume a5860 (forall ((X tptp.num) (N tptp.nat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))
% 19.22/19.42  (assume a5861 (forall ((X tptp.num) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real X)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))
% 19.22/19.42  (assume a5862 (forall ((X tptp.num) (N tptp.nat)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat X)) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))
% 19.22/19.42  (assume a5863 (forall ((A tptp.num) (B2 tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int A)) (tptp.aa_num_int tptp.numeral_numeral_int B2)))))
% 19.22/19.42  (assume a5864 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.22/19.42  (assume a5865 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))
% 19.22/19.42  (assume a5866 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)))))
% 19.22/19.42  (assume a5867 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) X)))))
% 19.22/19.42  (assume a5868 (forall ((A tptp.num) (B2 tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int A))) (tptp.aa_num_int tptp.numeral_numeral_int B2))))))
% 19.22/19.42  (assume a5869 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real)) X)))))
% 19.22/19.42  (assume a5870 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) tptp.one_one_rat)) X)))))
% 19.22/19.42  (assume a5871 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real))))))
% 19.22/19.42  (assume a5872 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) tptp.one_one_rat))))))
% 19.22/19.42  (assume a5873 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)))))
% 19.22/19.42  (assume a5874 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) X)))))
% 19.22/19.42  (assume a5875 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a5876 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.one_one_int)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a5877 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real))))))
% 19.22/19.42  (assume a5878 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) tptp.one_one_rat))))))
% 19.22/19.42  (assume a5879 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_num_real tptp.numeral_numeral_real V)) tptp.one_one_real)) X)))))
% 19.22/19.42  (assume a5880 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)) tptp.one_one_rat)) X)))))
% 19.22/19.42  (assume a5881 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) X)))))
% 19.22/19.42  (assume a5882 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) X)))))
% 19.22/19.42  (assume a5883 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V)))))))
% 19.22/19.42  (assume a5884 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)))))))
% 19.22/19.42  (assume a5885 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V)))))))
% 19.22/19.42  (assume a5886 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V)))))))
% 19.22/19.42  (assume a5887 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) X)))))
% 19.22/19.42  (assume a5888 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) X)))))
% 19.22/19.42  (assume a5889 (forall ((B2 tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int B2)))))
% 19.22/19.42  (assume a5890 (forall ((A tptp.num) (B2 tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int A))) (tptp.aa_num_int tptp.numeral_numeral_int B2)))))
% 19.22/19.42  (assume a5891 (forall ((A tptp.num) (B2 tptp.num)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real A)) (tptp.aa_num_real tptp.numeral_numeral_real B2)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int A)) (tptp.aa_num_int tptp.numeral_numeral_int B2))))))
% 19.22/19.42  (assume a5892 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real)) X)))))
% 19.22/19.42  (assume a5893 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) tptp.one_one_rat)) X)))))
% 19.22/19.42  (assume a5894 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real))))))
% 19.22/19.42  (assume a5895 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) tptp.one_one_rat))))))
% 19.22/19.42  (assume a5896 (forall ((X tptp.real) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real))))))
% 19.22/19.42  (assume a5897 (forall ((X tptp.rat) (V tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) tptp.one_one_rat))))))
% 19.22/19.42  (assume a5898 (forall ((V tptp.num) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real V))) tptp.one_one_real)) X)))))
% 19.22/19.42  (assume a5899 (forall ((V tptp.num) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int V))) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat V))) tptp.one_one_rat)) X)))))
% 19.22/19.42  (assume a5900 (forall ((B2 tptp.num)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real B2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int B2)))))
% 19.22/19.42  (assume a5901 (forall ((P tptp.bool) (A tptp.nat) (B2 tptp.nat)) (and (=> (tptp.pp P) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat P) A) B2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A))) (=> (not (tptp.pp P)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat P) A) B2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2))))))
% 19.22/19.42  (assume a5902 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= A B2) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))
% 19.22/19.42  (assume a5903 (forall ((Z tptp.int)) (not (forall ((M4 tptp.nat) (N3 tptp.nat)) (not (= Z (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))))))))
% 19.22/19.42  (assume a5904 (forall ((X tptp.real)) (and (=> (= X (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (=> (not (= X (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X)))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int))))))
% 19.22/19.42  (assume a5905 (forall ((X tptp.rat)) (and (=> (= X (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (=> (not (= X (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)))) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.one_one_int))))))
% 19.22/19.42  (assume a5906 (forall ((X tptp.real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) tptp.one_one_int))))
% 19.22/19.42  (assume a5907 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) tptp.one_one_int))))
% 19.22/19.42  (assume a5908 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))))))
% 19.22/19.42  (assume a5909 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y))))))
% 19.22/19.42  (assume a5910 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) X))))
% 19.22/19.42  (assume a5911 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) X))))
% 19.22/19.42  (assume a5912 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.42  (assume a5913 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)))))
% 19.22/19.42  (assume a5914 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.42  (assume a5915 (forall ((N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (= N tptp.zero_zero_nat))))
% 19.22/19.42  (assume a5916 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real Y)) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))))))
% 19.22/19.42  (assume a5917 (forall ((Y tptp.rat) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat Y)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))))))
% 19.22/19.42  (assume a5918 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X))))))
% 19.22/19.42  (assume a5919 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))))))
% 19.22/19.42  (assume a5920 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)))))
% 19.22/19.42  (assume a5921 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_real_int tptp.archim7802044766580827645g_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.42  (assume a5922 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.zero_zero_nat) tptp.zero_zero_int))
% 19.22/19.42  (assume a5923 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 19.22/19.42  (assume a5924 (forall ((N tptp.num)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_int tptp.numeral_numeral_int N))))
% 19.22/19.42  (assume a5925 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real X) N))))))
% 19.22/19.42  (assume a5926 (forall ((X tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat X) N))))))
% 19.22/19.42  (assume a5927 (forall ((X tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat X) N))))))
% 19.22/19.42  (assume a5928 (forall ((X tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int X) N))))))
% 19.22/19.42  (assume a5929 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2))))))
% 19.22/19.42  (assume a5930 (forall ((P tptp.fun_int_bool) (Z tptp.int)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N3)))))) (tptp.pp (tptp.aa_int_bool P Z))))))
% 19.22/19.42  (assume a5931 (forall ((Z tptp.int)) (=> (forall ((N3 tptp.nat)) (not (= Z (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))) (not (forall ((N3 tptp.nat)) (not (= Z (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N3))))))))))
% 19.22/19.42  (assume a5932 (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) tptp.zero_zero_real))))
% 19.22/19.42  (assume a5933 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) tptp.pi)))
% 19.22/19.42  (assume a5934 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) tptp.pi)))
% 19.22/19.42  (assume a5935 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2))))))
% 19.22/19.42  (assume a5936 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.42  (assume a5937 (forall ((B2 tptp.complex) (A tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex B2) A))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)))))
% 19.22/19.42  (assume a5938 (forall ((A tptp.real) (N tptp.nat) (M tptp.nat)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) M) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5939 (forall ((A tptp.rat) (N tptp.nat) (M tptp.nat)) (=> (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.zero_zero_rat) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) M) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a5940 (forall ((A tptp.real) (M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) M) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a5941 (forall ((A tptp.rat) (M tptp.nat) (N tptp.nat)) (=> (not (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) M) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (not (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.zero_zero_rat))))))
% 19.22/19.42  (assume a5942 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))
% 19.22/19.42  (assume a5943 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))
% 19.22/19.42  (assume a5944 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) Z)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))) Z))))
% 19.22/19.42  (assume a5945 (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int tptp.one_one_nat) tptp.one_one_int))
% 19.22/19.42  (assume a5946 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))
% 19.22/19.42  (assume a5947 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z)) (exists ((N5 tptp.nat)) (= Z (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N5)))))))
% 19.22/19.42  (assume a5948 (forall ((N tptp.nat) (M tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))))
% 19.22/19.42  (assume a5949 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))
% 19.22/19.42  (assume a5950 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))
% 19.22/19.42  (assume a5951 (forall ((N tptp.num)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.42  (assume a5952 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)))))
% 19.22/19.42  (assume a5953 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)))))
% 19.22/19.42  (assume a5954 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)))))
% 19.22/19.42  (assume a5955 (forall ((Z tptp.int) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) X)))))
% 19.22/19.42  (assume a5956 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 19.22/19.42  (assume a5957 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 19.22/19.42  (assume a5958 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))))))
% 19.22/19.42  (assume a5959 (forall ((X tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y))))))
% 19.22/19.42  (assume a5960 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)))))
% 19.22/19.42  (assume a5961 (forall ((Z tptp.int) (X tptp.rat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) X)))))
% 19.22/19.42  (assume a5962 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 19.22/19.42  (assume a5963 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 19.22/19.42  (assume a5964 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real K)) (tptp.aa_int_real tptp.ring_1_of_int_real L))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L))))
% 19.22/19.42  (assume a5965 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat K)) (tptp.aa_int_rat tptp.ring_1_of_int_rat L))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L))))
% 19.22/19.42  (assume a5966 (forall ((X tptp.real) (N tptp.nat)) (=> (= X (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) N)))))
% 19.22/19.42  (assume a5967 (forall ((X tptp.rat) (N tptp.nat)) (=> (= X (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_nat_rat (tptp.power_power_rat X) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) N)))))
% 19.22/19.42  (assume a5968 (forall ((X tptp.real) (A tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) A)))))
% 19.22/19.42  (assume a5969 (forall ((X tptp.rat) (A tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) A)))))
% 19.22/19.42  (assume a5970 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))))))
% 19.22/19.42  (assume a5971 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))))))
% 19.22/19.42  (assume a5972 (forall ((Z tptp.int) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) X)))))
% 19.22/19.42  (assume a5973 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)))))
% 19.22/19.42  (assume a5974 (forall ((X tptp.rat) (Y tptp.rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat Y))))))
% 19.22/19.42  (assume a5975 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) (tptp.aa_real_int tptp.archim7802044766580827645g_real Y))))))
% 19.22/19.42  (assume a5976 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real X) N))))))
% 19.22/19.42  (assume a5977 (forall ((X tptp.rat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat X) N))))))
% 19.22/19.42  (assume a5978 (forall ((X tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat X) N))))))
% 19.22/19.42  (assume a5979 (forall ((X tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int X) N))))))
% 19.22/19.42  (assume a5980 (forall ((M tptp.int)) (=> (forall ((N3 tptp.nat)) (not (= M (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))) (not (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (not (= M (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))))))))))
% 19.22/19.42  (assume a5981 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex tptp.zero_zero_complex) N) tptp.one_one_complex)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex tptp.zero_zero_complex) N) tptp.zero_zero_complex)))))
% 19.22/19.42  (assume a5982 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real tptp.zero_zero_real) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real tptp.zero_zero_real) N) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a5983 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat tptp.zero_zero_rat) N) tptp.one_one_rat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat tptp.zero_zero_rat) N) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a5984 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat tptp.zero_zero_nat) N) tptp.one_one_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a5985 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int tptp.zero_zero_int) N) tptp.one_one_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int tptp.zero_zero_int) N) tptp.zero_zero_int)))))
% 19.22/19.42  (assume a5986 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int))))
% 19.22/19.42  (assume a5987 (forall ((A tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) tptp.one_one_int))))
% 19.22/19.42  (assume a5988 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z)) (exists ((N5 tptp.nat)) (= Z (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N5))))))))
% 19.22/19.42  (assume a5989 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real X))) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))))))
% 19.22/19.42  (assume a5990 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex X))) (tptp.aa_real_real tptp.exp_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))))))
% 19.22/19.42  (assume a5991 (forall ((X tptp.real)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)))))
% 19.22/19.42  (assume a5992 (forall ((X tptp.rat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.one_one_int) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) tptp.one_one_rat)))))
% 19.22/19.42  (assume a5993 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real R2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) tptp.one_one_real)))))
% 19.22/19.42  (assume a5994 (forall ((R2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat R2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat R2) tptp.one_one_rat)))))
% 19.22/19.42  (assume a5995 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real R2))) tptp.one_one_real)) R2))))
% 19.22/19.42  (assume a5996 (forall ((R2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat R2))) tptp.one_one_rat)) R2))))
% 19.22/19.42  (assume a5997 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) N)))))
% 19.22/19.42  (assume a5998 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real R2))) tptp.one_one_real)))))
% 19.22/19.42  (assume a5999 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real R2))) tptp.one_one_real)))))
% 19.22/19.42  (assume a6000 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real R2) tptp.one_one_real)) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real R2))))))
% 19.22/19.42  (assume a6001 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real R2) tptp.one_one_real)) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real R2))))))
% 19.22/19.42  (assume a6002 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_int_real tptp.ring_1_of_int_real B2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)))))
% 19.22/19.42  (assume a6003 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_int_rat tptp.ring_1_of_int_rat B2))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int A)) B2)))))
% 19.22/19.42  (assume a6004 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)))))))
% 19.22/19.42  (assume a6005 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) K)) (not (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)))))))))
% 19.22/19.42  (assume a6006 (forall ((K tptp.int)) (=> (not (= K tptp.zero_zero_int)) (=> (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3))))) (not (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3))))))))))
% 19.22/19.42  (assume a6007 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6008 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)))
% 19.22/19.42  (assume a6009 (forall ((I tptp.int) (J tptp.int) (K tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) J)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K)) I)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K)) J)))))))
% 19.22/19.42  (assume a6010 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N))))))))
% 19.22/19.42  (assume a6011 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N)))) tptp.zero_zero_int))))
% 19.22/19.42  (assume a6012 (forall ((X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) tptp.zero_zero_int)) (exists ((N3 tptp.nat)) (= X (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N3))))))))
% 19.22/19.42  (assume a6013 (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6014 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) N)))))
% 19.22/19.42  (assume a6015 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) N)))))
% 19.22/19.42  (assume a6016 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) N)))))
% 19.22/19.42  (assume a6017 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) N)))))
% 19.22/19.42  (assume a6018 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int)) N)))))
% 19.22/19.42  (assume a6019 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))))))
% 19.22/19.42  (assume a6020 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))
% 19.22/19.42  (assume a6021 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))))))
% 19.22/19.42  (assume a6022 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))))))
% 19.22/19.42  (assume a6023 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.42  (assume a6024 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N)))))
% 19.22/19.42  (assume a6025 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N)))))
% 19.22/19.42  (assume a6026 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N)))))
% 19.22/19.42  (assume a6027 (forall ((Z tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) N)))))
% 19.22/19.42  (assume a6028 (forall ((Z tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) N)))))
% 19.22/19.42  (assume a6029 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.semiri4939895301339042750nteger N)) K) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.42  (assume a6030 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) K) tptp.zero_zero_complex))))
% 19.22/19.42  (assume a6031 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real))))
% 19.22/19.42  (assume a6032 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) K) tptp.zero_zero_rat))))
% 19.22/19.42  (assume a6033 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) K) tptp.zero_zero_int))))
% 19.22/19.42  (assume a6034 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.semiri4939895301339042750nteger N)) K) tptp.zero_z3403309356797280102nteger) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)))))
% 19.22/19.42  (assume a6035 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) K) tptp.zero_zero_complex) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)))))
% 19.22/19.42  (assume a6036 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)))))
% 19.22/19.42  (assume a6037 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) K) tptp.zero_zero_rat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)))))
% 19.22/19.42  (assume a6038 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) K) tptp.zero_zero_int) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)))))
% 19.22/19.42  (assume a6039 (forall ((A tptp.complex) (N tptp.nat)) (= (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) tptp.zero_zero_complex) (exists ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K3) N)) (= A (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K3))))))))
% 19.22/19.42  (assume a6040 (forall ((A tptp.real) (N tptp.nat)) (= (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.zero_zero_real) (exists ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K3) N)) (= A (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K3))))))))
% 19.22/19.42  (assume a6041 (forall ((A tptp.rat) (N tptp.nat)) (= (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.zero_zero_rat) (exists ((K3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K3) N)) (= A (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K3))))))))
% 19.22/19.42  (assume a6042 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (not (= (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.semiri4939895301339042750nteger N)) K) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.42  (assume a6043 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (not (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) K) tptp.zero_zero_complex)))))
% 19.22/19.42  (assume a6044 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (not (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) K) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6045 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (not (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) K) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a6046 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (not (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) K) tptp.zero_zero_int)))))
% 19.22/19.42  (assume a6047 (forall ((A tptp.nat) (B2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2))) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))))
% 19.22/19.42  (assume a6048 (forall ((Z tptp.complex) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) M)))))
% 19.22/19.42  (assume a6049 (forall ((Z tptp.real) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) M)))))
% 19.22/19.42  (assume a6050 (forall ((Z tptp.rat) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) M)))))
% 19.22/19.42  (assume a6051 (forall ((Z tptp.nat) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N))) M)))))
% 19.22/19.42  (assume a6052 (forall ((Z tptp.int) (N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) N)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) M)))))
% 19.22/19.42  (assume a6053 (forall ((P tptp.fun_int_bool) (T tptp.real)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_real_int tptp.archim6058952711729229775r_real T))) (forall ((I2 tptp.int)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) tptp.one_one_real)))) (tptp.pp (tptp.aa_int_bool P I2)))))))
% 19.22/19.42  (assume a6054 (forall ((P tptp.fun_int_bool) (T tptp.rat)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_rat_int tptp.archim3151403230148437115or_rat T))) (forall ((I2 tptp.int)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat I2)) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat T) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat I2)) tptp.one_one_rat)))) (tptp.pp (tptp.aa_int_bool P I2)))))))
% 19.22/19.42  (assume a6055 (forall ((X tptp.real) (A tptp.int)) (= (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) A) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) tptp.one_one_real)))))))
% 19.22/19.42  (assume a6056 (forall ((X tptp.rat) (A tptp.int)) (= (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X) A) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) tptp.one_one_rat)))))))
% 19.22/19.42  (assume a6057 (forall ((Z tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) Z)))))
% 19.22/19.42  (assume a6058 (forall ((Z tptp.int) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat))) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X) Z)))))
% 19.22/19.42  (assume a6059 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) (tptp.aa_real_int tptp.archim6058952711729229775r_real B2))) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))))))))
% 19.22/19.42  (assume a6060 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat A)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat B2))) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))))))))
% 19.22/19.42  (assume a6061 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X)))))
% 19.22/19.42  (assume a6062 (forall ((Z tptp.int) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) X)))))
% 19.22/19.42  (assume a6063 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))))))
% 19.22/19.42  (assume a6064 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat))))))
% 19.22/19.42  (assume a6065 (forall ((K tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K6)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)))))))
% 19.22/19.42  (assume a6066 (forall ((N tptp.nat) (K tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N)))))
% 19.22/19.42  (assume a6067 (forall ((N tptp.nat) (K tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6068 (forall ((K tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) K)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K6) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))))))))
% 19.22/19.42  (assume a6069 (forall ((X tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.one_one_int)))))))
% 19.22/19.42  (assume a6070 (forall ((X tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) tptp.one_one_int)))))))
% 19.22/19.42  (assume a6071 (forall ((P tptp.fun_int_bool) (T tptp.real)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_real_int tptp.archim7802044766580827645g_real T))) (forall ((I2 tptp.int)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) tptp.one_one_real)) T)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T) (tptp.aa_int_real tptp.ring_1_of_int_real I2)))) (tptp.pp (tptp.aa_int_bool P I2)))))))
% 19.22/19.42  (assume a6072 (forall ((P tptp.fun_int_bool) (T tptp.rat)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat T))) (forall ((I2 tptp.int)) (=> (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat I2)) tptp.one_one_rat)) T)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat T) (tptp.aa_int_rat tptp.ring_1_of_int_rat I2)))) (tptp.pp (tptp.aa_int_bool P I2)))))))
% 19.22/19.42  (assume a6073 (forall ((X tptp.real) (A tptp.int)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) A) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real A)))))))
% 19.22/19.42  (assume a6074 (forall ((X tptp.rat) (A tptp.int)) (= (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X) A) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) tptp.one_one_rat)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat A)))))))
% 19.22/19.42  (assume a6075 (forall ((Z tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real Z))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) Z)))))
% 19.22/19.42  (assume a6076 (forall ((Z tptp.int) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat Z))) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X) Z)))))
% 19.22/19.42  (assume a6077 (forall ((X tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) tptp.one_one_real)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real X)))))))
% 19.22/19.42  (assume a6078 (forall ((X tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) tptp.one_one_rat)) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)))))))
% 19.22/19.42  (assume a6079 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim7802044766580827645g_real A)) (tptp.aa_real_int tptp.archim7802044766580827645g_real B2))))))))
% 19.22/19.42  (assume a6080 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat A)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat B2))))))))
% 19.22/19.42  (assume a6081 (forall ((B2 tptp.nat) (N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)) K)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))))
% 19.22/19.42  (assume a6082 (forall ((X tptp.real) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int tptp.archim7802044766580827645g_real X)) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real))))))
% 19.22/19.42  (assume a6083 (forall ((X tptp.rat) (Z tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X)) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat))))))
% 19.22/19.42  (assume a6084 (forall ((Z tptp.int) (X tptp.rat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Z)) tptp.one_one_rat)) X)))))
% 19.22/19.42  (assume a6085 (forall ((Z tptp.int) (X tptp.real)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real Z)) tptp.one_one_real)) X)))))
% 19.22/19.42  (assume a6086 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) N)))))
% 19.22/19.42  (assume a6087 (forall ((B2 tptp.int) (A tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_int_real tptp.ring_1_of_int_real B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) B2)))))
% 19.22/19.42  (assume a6088 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (not (forall ((N3 tptp.nat)) (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)))))))))
% 19.22/19.42  (assume a6089 (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6090 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6091 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6092 (forall ((P tptp.fun_int_bool) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) Y)))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.aa_int_bool P tptp.zero_zero_int)))))))
% 19.22/19.42  (assume a6093 (forall ((B2 tptp.nat) (K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))))))))
% 19.22/19.42  (assume a6094 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) M)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.22/19.42  (assume a6095 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.22/19.42  (assume a6096 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) M)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.22/19.42  (assume a6097 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat Z) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Z) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.22/19.42  (assume a6098 (forall ((M tptp.nat) (N tptp.nat) (Z tptp.int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int Z) M)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.22/19.42  (assume a6099 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) Q2)) P2)))))
% 19.22/19.42  (assume a6100 (forall ((Q2 tptp.rat) (P2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Q2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.divide_divide_rat P2) Q2)))) Q2)) P2)))))
% 19.22/19.42  (assume a6101 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.42  (assume a6102 (forall ((K tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K6)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)))))))
% 19.22/19.42  (assume a6103 (forall ((K tptp.nat) (K6 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) K6)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K6) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K6)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))))))))
% 19.22/19.42  (assume a6104 (forall ((N tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6105 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real P2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) Q2))))))
% 19.22/19.42  (assume a6106 (forall ((Q2 tptp.rat) (P2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Q2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat P2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.divide_divide_rat P2) Q2)))) Q2))))))
% 19.22/19.42  (assume a6107 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat M) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.42  (assume a6108 (forall ((B2 tptp.nat) (N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)) K)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)))))))
% 19.22/19.42  (assume a6109 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6110 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6111 (forall ((R2 tptp.code_integer) (K tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.minus_8373710615458151222nteger R2 (tptp.semiri4939895301339042750nteger K))) (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger R2) K)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger R2) (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger R2) tptp.one_one_Code_integer) K)))))
% 19.22/19.42  (assume a6112 (forall ((R2 tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex R2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex R2)) K)) (tptp.aa_complex_complex (tptp.times_times_complex R2) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex R2)) tptp.one_one_complex)) K)))))
% 19.22/19.42  (assume a6113 (forall ((R2 tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real R2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real R2)) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.uminus_uminus_real R2)) tptp.one_one_real)) K)))))
% 19.22/19.42  (assume a6114 (forall ((R2 tptp.rat) (K tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat R2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat R2)) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat R2) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat R2)) tptp.one_one_rat)) K)))))
% 19.22/19.42  (assume a6115 (forall ((R2 tptp.int) (K tptp.nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int R2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int R2)) K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int R2)) tptp.one_one_int)) K)))))
% 19.22/19.42  (assume a6116 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) tptp.pi)))
% 19.22/19.42  (assume a6117 (forall ((B2 tptp.nat) (K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_nat_real tptp.semiri5074537144036343181t_real B2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) tptp.one_one_int)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) N)) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))))))))))
% 19.22/19.42  (assume a6118 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real P2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) tptp.one_one_real)) Q2))))))
% 19.22/19.42  (assume a6119 (forall ((Q2 tptp.rat) (P2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Q2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat P2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.divide_divide_rat P2) Q2)))) tptp.one_one_rat)) Q2))))))
% 19.22/19.42  (assume a6120 (forall ((Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6121 (= (tptp.aa_real_real tptp.arctan tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6122 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6123 (forall ((X tptp.rat)) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6124 (forall ((Q2 tptp.real) (P2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Q2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real P2) Q2)))) tptp.one_one_real)) Q2)) P2)))))
% 19.22/19.42  (assume a6125 (forall ((Q2 tptp.rat) (P2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) Q2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.divide_divide_rat P2) Q2)))) tptp.one_one_rat)) Q2)) P2)))))
% 19.22/19.42  (assume a6126 (forall ((N tptp.int) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_int_real tptp.ring_1_of_int_real N)) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim7802044766580827645g_real X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))))))
% 19.22/19.42  (assume a6127 (forall ((N tptp.int) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N)) X)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N)) tptp.one_one_rat))) (= (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))))))
% 19.22/19.42  (assume a6128 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6129 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6130 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6131 (forall ((B2 tptp.code_integer) (K tptp.nat)) (= (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2) K) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) K)) (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger B2 (tptp.semiri4939895301339042750nteger K)) tptp.one_one_Code_integer) K)))))
% 19.22/19.42  (assume a6132 (forall ((B2 tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) K) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex B2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K)))))
% 19.22/19.42  (assume a6133 (forall ((B2 tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)))))
% 19.22/19.42  (assume a6134 (forall ((B2 tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) K)))))
% 19.22/19.42  (assume a6135 (forall ((B2 tptp.int) (K tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) K)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))) tptp.one_one_int)) K)))))
% 19.22/19.42  (assume a6136 (forall ((B2 tptp.code_integer) (K tptp.nat)) (= (tptp.comm_s8582702949713902594nteger (tptp.plus_p5714425477246183910nteger (tptp.minus_8373710615458151222nteger B2 (tptp.semiri4939895301339042750nteger K)) tptp.one_one_Code_integer) K) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) K)) (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger B2) K)))))
% 19.22/19.42  (assume a6137 (forall ((B2 tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex B2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex B2)) K)))))
% 19.22/19.42  (assume a6138 (forall ((B2 tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) K)))))
% 19.22/19.42  (assume a6139 (forall ((B2 tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat B2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat B2)) K)))))
% 19.22/19.42  (assume a6140 (forall ((B2 tptp.int) (K tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))) tptp.one_one_int)) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) K)) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int B2)) K)))))
% 19.22/19.42  (assume a6141 (forall ((Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arctan Y)))))
% 19.22/19.42  (assume a6142 (forall ((Y tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6143 (forall ((Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.exp_real Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z))))))))
% 19.22/19.42  (assume a6144 (forall ((Z tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.exp_complex Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))))
% 19.22/19.42  (assume a6145 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6146 (forall ((A tptp.real) (W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.42  (assume a6147 (forall ((A tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.42  (assume a6148 (forall ((W tptp.num) (A tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)))))
% 19.22/19.42  (assume a6149 (forall ((W tptp.num) (A tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex W)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)))))
% 19.22/19.42  (assume a6150 (forall ((A tptp.real) (W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.42  (assume a6151 (forall ((A tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.42  (assume a6152 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)))))
% 19.22/19.42  (assume a6153 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 19.22/19.42  (assume a6154 (forall ((W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 19.22/19.42  (assume a6155 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) tptp.zero_zero_real)) (= X tptp.zero_zero_real))))
% 19.22/19.42  (assume a6156 (forall ((X tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) tptp.zero_zero_real)) (= X tptp.zero_zero_complex))))
% 19.22/19.42  (assume a6157 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) N) (tptp.aa_nat_nat tptp.suc N))))
% 19.22/19.42  (assume a6158 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) N) tptp.one_one_nat)))
% 19.22/19.42  (assume a6159 (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.42  (assume a6160 (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex tptp.one_one_complex) tptp.one_one_real))
% 19.22/19.42  (assume a6161 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 19.22/19.42  (assume a6162 (forall ((W tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.numera6690914467698888265omplex W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 19.22/19.42  (assume a6163 (forall ((K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_nat)))
% 19.22/19.42  (assume a6164 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)))
% 19.22/19.42  (assume a6165 (forall ((N tptp.nat) (K tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)))))
% 19.22/19.42  (assume a6166 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.42  (assume a6167 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.22/19.42  (assume a6168 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))) (not (= X tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6169 (forall ((X tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) (not (= X tptp.zero_zero_complex)))))
% 19.22/19.42  (assume a6170 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)))))
% 19.22/19.42  (assume a6171 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex B2) A)))))
% 19.22/19.42  (assume a6172 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) tptp.one_one_nat) N)))
% 19.22/19.42  (assume a6173 (forall ((X tptp.complex)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6174 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 19.22/19.42  (assume a6175 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)))))
% 19.22/19.42  (assume a6176 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)))))
% 19.22/19.42  (assume a6177 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2)))))
% 19.22/19.42  (assume a6178 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2)))))
% 19.22/19.42  (assume a6179 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) N))))
% 19.22/19.42  (assume a6180 (forall ((X tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) N))))
% 19.22/19.42  (assume a6181 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) tptp.zero_zero_nat))))
% 19.22/19.42  (assume a6182 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)))))
% 19.22/19.42  (assume a6183 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_nat tptp.suc K)))))
% 19.22/19.42  (assume a6184 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.42  (assume a6185 (forall ((M tptp.nat) (R2 tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) R2)) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) R2)) K)) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) R2)) M)))))
% 19.22/19.42  (assume a6186 (forall ((R2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) R2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) R2))))))
% 19.22/19.42  (assume a6187 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real X)) Y)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))
% 19.22/19.42  (assume a6188 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) Y)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)))))
% 19.22/19.42  (assume a6189 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2))))))
% 19.22/19.42  (assume a6190 (forall ((B2 tptp.complex) (A tptp.complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2))))))
% 19.22/19.42  (assume a6191 (forall ((W tptp.real) (N tptp.nat) (Z tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real W) N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real W) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z))))))
% 19.22/19.42  (assume a6192 (forall ((W tptp.complex) (N tptp.nat) (Z tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) N) (tptp.aa_nat_complex (tptp.power_power_complex Z) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 19.22/19.42  (assume a6193 (forall ((X tptp.real) (R2 tptp.real) (Y tptp.real) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) S)))))))
% 19.22/19.42  (assume a6194 (forall ((X tptp.complex) (R2 tptp.real) (Y tptp.complex) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) S)))))))
% 19.22/19.42  (assume a6195 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))))))
% 19.22/19.42  (assume a6196 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))))))
% 19.22/19.42  (assume a6197 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) E)))))
% 19.22/19.42  (assume a6198 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) E)))))
% 19.22/19.42  (assume a6199 (forall ((X tptp.real) (R2 tptp.real) (Y tptp.real) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.22/19.42  (assume a6200 (forall ((X tptp.complex) (R2 tptp.real) (Y tptp.complex) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.22/19.42  (assume a6201 (forall ((X tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) N)))))
% 19.22/19.42  (assume a6202 (forall ((X tptp.complex) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_nat_complex (tptp.power_power_complex X) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) N)))))
% 19.22/19.42  (assume a6203 (forall ((A tptp.real) (R2 tptp.real) (B2 tptp.real) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.22/19.42  (assume a6204 (forall ((A tptp.complex) (R2 tptp.real) (B2 tptp.complex) (S tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) R2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2)) S)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) S)))))))
% 19.22/19.42  (assume a6205 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))))))
% 19.22/19.42  (assume a6206 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))))))
% 19.22/19.42  (assume a6207 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) E)))))
% 19.22/19.42  (assume a6208 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) E)))))
% 19.22/19.42  (assume a6209 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) C))))))
% 19.22/19.42  (assume a6210 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2))) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) C))))))
% 19.22/19.42  (assume a6211 (forall ((X tptp.real) (Y tptp.real) (E1 tptp.real) (Z tptp.real) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 19.22/19.42  (assume a6212 (forall ((X tptp.complex) (Y tptp.complex) (E1 tptp.real) (Z tptp.complex) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 19.22/19.42  (assume a6213 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)))))))
% 19.22/19.42  (assume a6214 (forall ((X tptp.complex) (Y tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)))))))
% 19.22/19.42  (assume a6215 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2))))))
% 19.22/19.42  (assume a6216 (forall ((A tptp.complex) (B2 tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2))))))
% 19.22/19.42  (assume a6217 (forall ((X tptp.real) (Y tptp.real) (E1 tptp.real) (Z tptp.real) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 19.22/19.42  (assume a6218 (forall ((X tptp.complex) (Y tptp.complex) (E1 tptp.real) (Z tptp.complex) (E22 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y))) E1)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Y) Z))) E22)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Z))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real E1) E22)))))))
% 19.22/19.42  (assume a6219 (forall ((X tptp.real) (Y tptp.real) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y))) E)))))
% 19.22/19.42  (assume a6220 (forall ((X tptp.complex) (Y tptp.complex) (E tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) E)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y))) E)))))
% 19.22/19.42  (assume a6221 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))))))
% 19.22/19.42  (assume a6222 (forall ((A tptp.complex) (B2 tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2))))))
% 19.22/19.42  (assume a6223 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))))
% 19.22/19.42  (assume a6224 (forall ((A tptp.complex) (B2 tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2))))))
% 19.22/19.42  (assume a6225 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))))))
% 19.22/19.42  (assume a6226 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) (tptp.aa_nat_nat tptp.suc A))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))) A)))))
% 19.22/19.42  (assume a6227 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.aa_nat_nat tptp.suc K)))))
% 19.22/19.42  (assume a6228 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K))))))))
% 19.22/19.42  (assume a6229 (forall ((N tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K)))))
% 19.22/19.42  (assume a6230 (forall ((W tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real W) N) tptp.one_one_real) (or (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real W) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a6231 (forall ((W tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) N) tptp.one_one_complex) (or (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W) tptp.one_one_real) (= N tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a6232 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real C) D)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) D)))))))
% 19.22/19.42  (assume a6233 (forall ((A tptp.complex) (B2 tptp.complex) (C tptp.complex) (D tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) (tptp.aa_complex_complex (tptp.plus_plus_complex C) D)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) C))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex B2) D)))))))
% 19.22/19.42  (assume a6234 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real A)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real B2)))) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))))))
% 19.22/19.42  (assume a6235 (forall ((A tptp.complex) (B2 tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex A)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2)))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2))))))
% 19.22/19.42  (assume a6236 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K)))))
% 19.22/19.42  (assume a6237 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) K)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)))))))
% 19.22/19.42  (assume a6238 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) K)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)))))))
% 19.22/19.42  (assume a6239 (forall ((N tptp.nat) (K tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.42  (assume a6240 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K)))))))
% 19.22/19.42  (assume a6241 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a6242 (forall ((X tptp.real)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_real) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real X) tptp.one_one_real))))
% 19.22/19.42  (assume a6243 (forall ((X tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.one_one_complex) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X) tptp.one_one_real))))
% 19.22/19.42  (assume a6244 (forall ((Z tptp.real) (W tptp.real) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real Z)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real W)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real W) M)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z) W)))))))))
% 19.22/19.42  (assume a6245 (forall ((Z tptp.complex) (W tptp.complex) (M tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex W)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex Z) M)) (tptp.aa_nat_complex (tptp.power_power_complex W) M)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Z) W)))))))))
% 19.22/19.42  (assume a6246 (forall ((N tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) K))))))
% 19.22/19.42  (assume a6247 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6248 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 19.22/19.42  (assume a6249 (forall ((M tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6250 (forall ((X tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.archim2898591450579166408c_real X))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.archim2898591450579166408c_real X)))) (= (tptp.aa_real_int tptp.archim8280529875227126926d_real X) (tptp.aa_real_int tptp.archim6058952711729229775r_real X))))))
% 19.22/19.42  (assume a6251 (forall ((X tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_rat_rat tptp.archimedean_frac_rat X))) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat X))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_rat_rat tptp.archimedean_frac_rat X)))) (= (tptp.aa_rat_int tptp.archim7778729529865785530nd_rat X) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))))))
% 19.22/19.42  (assume a6252 (forall ((X tptp.real) (B2 tptp.real) (K tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (= (= (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K)) tptp.one_one_int)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) tptp.one_one_nat)))))))))))
% 19.22/19.42  (assume a6253 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real) (or (exists ((N5 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5))) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))) (exists ((N5 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5))) (= X (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.42  (assume a6254 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cot_real X)) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6255 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real tptp.one_one_real) A) tptp.one_one_real)))
% 19.22/19.42  (assume a6256 (= (tptp.aa_complex_complex tptp.cos_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 19.22/19.42  (assume a6257 (= (tptp.aa_real_real tptp.cos_real tptp.zero_zero_real) tptp.one_one_real))
% 19.22/19.42  (assume a6258 (forall ((X tptp.real)) (and (=> (= X tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.zero_zero_real) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.zero_zero_real) tptp.one_one_real)))))
% 19.22/19.42  (assume a6259 (forall ((X tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A))) (not (= X tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6260 (forall ((A tptp.real) (X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X)) tptp.zero_zero_real)) (= A tptp.zero_zero_real))))
% 19.22/19.42  (assume a6261 (forall ((X tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.42  (assume a6262 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.pi) X)) (tptp.aa_real_real tptp.sin_real X))))
% 19.22/19.42  (assume a6263 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) A)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X) tptp.one_one_real) (= X tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6264 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.one_one_real) X))))
% 19.22/19.42  (assume a6265 (forall ((X tptp.real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) tptp.one_one_real) X) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.42  (assume a6266 (forall ((X tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.22/19.42  (assume a6267 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 19.22/19.42  (assume a6268 (= (tptp.aa_real_real tptp.cos_real tptp.pi) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.42  (assume a6269 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.pi) X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.cos_real X)))))
% 19.22/19.42  (assume a6270 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.cos_real X)))))
% 19.22/19.42  (assume a6271 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.pi) X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)))))
% 19.22/19.42  (assume a6272 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)))))
% 19.22/19.42  (assume a6273 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.pi) X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.cos_real X)))))
% 19.22/19.42  (assume a6274 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.cos_real X)))))
% 19.22/19.42  (assume a6275 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)))))
% 19.22/19.42  (assume a6276 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex X))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.sin_complex X))) tptp.one_one_complex)))
% 19.22/19.42  (assume a6277 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real X))) tptp.one_one_real)))
% 19.22/19.42  (assume a6278 (forall ((A tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) Y)) Y)))))
% 19.22/19.42  (assume a6279 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) X))))))
% 19.22/19.42  (assume a6280 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6281 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6282 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6283 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cot_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6284 (forall ((X tptp.real) (N tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.42  (assume a6285 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 19.22/19.42  (assume a6286 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.zero_zero_real))
% 19.22/19.42  (assume a6287 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))
% 19.22/19.42  (assume a6288 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_real))
% 19.22/19.42  (assume a6289 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.cos_real X))))
% 19.22/19.42  (assume a6290 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.sin_real X))))
% 19.22/19.42  (assume a6291 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) X)) (tptp.aa_real_real tptp.cos_real X))))
% 19.22/19.42  (assume a6292 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 19.22/19.42  (assume a6293 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N))))
% 19.22/19.42  (assume a6294 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cot_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.cot_real X))))
% 19.22/19.42  (assume a6295 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 19.22/19.42  (assume a6296 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 19.22/19.42  (assume a6297 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 19.22/19.42  (assume a6298 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 19.22/19.42  (assume a6299 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6300 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)) tptp.one_one_real)))
% 19.22/19.42  (assume a6301 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)))))
% 19.22/19.42  (assume a6302 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6303 (forall ((N tptp.int)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.one_one_real)))
% 19.22/19.42  (assume a6304 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi)) tptp.zero_zero_real))
% 19.22/19.42  (assume a6305 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.abs_abs_real X))))
% 19.22/19.42  (assume a6306 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.42  (assume a6307 (forall ((N tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.pi) (tptp.aa_int_real tptp.ring_1_of_int_real N))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))
% 19.22/19.42  (assume a6308 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 19.22/19.42  (assume a6309 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 19.22/19.42  (assume a6310 (forall ((X4 tptp.complex)) (= (tptp.aa_complex_complex tptp.cot_complex X4) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.cos_complex X4)) (tptp.aa_complex_complex tptp.sin_complex X4)))))
% 19.22/19.42  (assume a6311 (forall ((X4 tptp.real)) (= (tptp.aa_real_real tptp.cot_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real X4)) (tptp.aa_real_real tptp.sin_real X4)))))
% 19.22/19.42  (assume a6312 (forall ((X tptp.real) (Y tptp.real)) (exists ((R3 tptp.real) (A4 tptp.real)) (and (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R3) (tptp.aa_real_real tptp.cos_real A4))) (= Y (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R3) (tptp.aa_real_real tptp.sin_real A4)))))))
% 19.22/19.42  (assume a6313 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.one_one_complex) (= (tptp.aa_complex_complex tptp.sin_complex X) tptp.zero_zero_complex))))
% 19.22/19.42  (assume a6314 (forall ((X tptp.real)) (=> (= (tptp.aa_real_real tptp.cos_real X) tptp.one_one_real) (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real))))
% 19.22/19.42  (assume a6315 (forall ((X tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))
% 19.22/19.42  (assume a6316 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 19.22/19.42  (assume a6317 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))))))
% 19.22/19.42  (assume a6318 (forall ((X tptp.real)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.cos_real X)) tptp.one_one_real))))
% 19.22/19.42  (assume a6319 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_complex tptp.sin_complex X) tptp.zero_zero_complex) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.cos_complex X)) tptp.one_one_real))))
% 19.22/19.42  (assume a6320 (forall ((X tptp.real)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.cos_real X)) tptp.one_one_real))))
% 19.22/19.42  (assume a6321 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex X))) (tptp.aa_complex_complex tptp.cos_complex X)))))
% 19.22/19.42  (assume a6322 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real X))) (tptp.aa_real_real tptp.cos_real X)))))
% 19.22/19.42  (assume a6323 (forall ((X tptp.real)) (exists ((Y3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y3) tptp.pi)) (= (tptp.aa_real_real tptp.sin_real Y3) (tptp.aa_real_real tptp.sin_real X)) (= (tptp.aa_real_real tptp.cos_real Y3) (tptp.aa_real_real tptp.cos_real X))))))
% 19.22/19.42  (assume a6324 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A))))))))
% 19.22/19.42  (assume a6325 (forall ((A tptp.real) (X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X)) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6326 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A))))))))
% 19.22/19.42  (assume a6327 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)))))
% 19.22/19.42  (assume a6328 (forall ((A tptp.real) (B2 tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B2)))))))
% 19.22/19.42  (assume a6329 (forall ((X tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.42  (assume a6330 (forall ((A tptp.real) (B2 tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B2)))))))
% 19.22/19.42  (assume a6331 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) X)))))
% 19.22/19.42  (assume a6332 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) tptp.one_one_real))))
% 19.22/19.42  (assume a6333 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real X)) tptp.one_one_real))))
% 19.22/19.42  (assume a6334 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sin_real X))) (tptp.aa_real_real tptp.abs_abs_real X)))))
% 19.22/19.42  (assume a6335 (forall ((X tptp.real) (Y tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))) tptp.one_one_real))))
% 19.22/19.42  (assume a6336 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.archim2898591450579166408c_real X)))))
% 19.22/19.42  (assume a6337 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.archimedean_frac_rat X)))))
% 19.22/19.42  (assume a6338 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6339 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6340 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6341 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6342 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) tptp.one_one_real))))
% 19.22/19.42  (assume a6343 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.archimedean_frac_rat X)) tptp.one_one_rat))))
% 19.22/19.42  (assume a6344 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)) (tptp.aa_real_real tptp.archim2898591450579166408c_real X))))
% 19.22/19.42  (assume a6345 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat tptp.archimedean_frac_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) tptp.one_one_rat)) (tptp.aa_rat_rat tptp.archimedean_frac_rat X))))
% 19.22/19.42  (assume a6346 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A))))))))
% 19.22/19.42  (assume a6347 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A))))))))
% 19.22/19.42  (assume a6348 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)))))))
% 19.22/19.42  (assume a6349 (forall ((A tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) Y)) (= X Y))))))
% 19.22/19.42  (assume a6350 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) tptp.one_one_real)))))))
% 19.22/19.42  (assume a6351 (forall ((A tptp.real) (B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) B2)))))))))
% 19.22/19.42  (assume a6352 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)))))))
% 19.22/19.42  (assume a6353 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)))))))
% 19.22/19.42  (assume a6354 (forall ((X tptp.real) (Y tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A)))))))
% 19.22/19.42  (assume a6355 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) (tptp.aa_real_real tptp.uminus_uminus_real C))))))
% 19.22/19.42  (assume a6356 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 19.22/19.42  (assume a6357 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.sin_real X))))))
% 19.22/19.42  (assume a6358 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 19.22/19.42  (assume a6359 (forall ((A tptp.real) (B2 tptp.real) (X tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) B2)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X)) B2)))))
% 19.22/19.42  (assume a6360 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_real_real tptp.ln_ln_real X))))))
% 19.22/19.42  (assume a6361 (forall ((X tptp.real) (B2 tptp.real) (Y tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X))))))
% 19.22/19.42  (assume a6362 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.sin_real X)))))
% 19.22/19.42  (assume a6363 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 19.22/19.42  (assume a6364 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.pi)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))))
% 19.22/19.42  (assume a6365 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.pi)) (=> (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real tptp.cos_real Y)) (= X Y))))))))
% 19.22/19.42  (assume a6366 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.cos_real X)))))
% 19.22/19.42  (assume a6367 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sin_real X))) tptp.one_one_real))))
% 19.22/19.42  (assume a6368 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.cos_real X))) tptp.one_one_real))))
% 19.22/19.42  (assume a6369 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex Z) W)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6370 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z) W)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6371 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6372 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6373 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6374 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6375 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6376 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6377 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z))) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6378 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6379 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_complex_complex tptp.sin_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6380 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_real_real tptp.sin_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6381 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6382 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6383 (forall ((X tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) B2)))))
% 19.22/19.42  (assume a6384 (forall ((W tptp.real) (Z1 tptp.real) (Z22 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real W) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z1) Z22)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real W) Z1)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real W) Z22)))))
% 19.22/19.42  (assume a6385 (forall ((W tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sin_complex W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6386 (forall ((W tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sin_real W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6387 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))
% 19.22/19.42  (assume a6388 (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6389 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y)) X)))))))
% 19.22/19.42  (assume a6390 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y))))))))
% 19.22/19.42  (assume a6391 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) Y)))))))
% 19.22/19.42  (assume a6392 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X))))))))
% 19.22/19.42  (assume a6393 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 19.22/19.42  (assume a6394 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.pi)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))))))
% 19.22/19.42  (assume a6395 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.pi)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= X tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6396 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.pi)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6397 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real Y)) (tptp.aa_real_real tptp.cos_real X))))))))
% 19.22/19.42  (assume a6398 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (exists ((I2 tptp.int)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) tptp.pi))))))
% 19.22/19.42  (assume a6399 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real X))))))
% 19.22/19.42  (assume a6400 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat tptp.archimedean_frac_rat X) (tptp.aa_rat_rat (tptp.minus_minus_rat X) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X))))))
% 19.22/19.42  (assume a6401 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) tptp.pi)) (= X (tptp.aa_real_real tptp.cos_real T2)) (= Y (tptp.aa_real_real tptp.sin_real T2))))))))
% 19.22/19.42  (assume a6402 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X))) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a6403 (forall ((X tptp.real) (M tptp.nat)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6404 (forall ((X tptp.real) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)))))
% 19.22/19.42  (assume a6405 (forall ((X tptp.real) (M tptp.nat)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc M))) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a6406 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) X)))))
% 19.22/19.42  (assume a6407 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 19.22/19.42  (assume a6408 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) Y))))))
% 19.22/19.42  (assume a6409 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y)) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X))))))))
% 19.22/19.42  (assume a6410 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) Y)))))))
% 19.22/19.42  (assume a6411 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y))))))))
% 19.22/19.42  (assume a6412 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y)) X)))))))
% 19.22/19.42  (assume a6413 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6414 (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cos_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6415 (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real X3) tptp.zero_zero_real) (forall ((Y4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y4) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real Y4) tptp.zero_zero_real)) (= Y4 X3))))))
% 19.22/19.42  (assume a6416 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real Y)) (tptp.aa_real_real tptp.cos_real X))))))))
% 19.22/19.42  (assume a6417 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real X3) Y) (forall ((Y4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y4) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real Y4) Y)) (= Y4 X3)))))))))
% 19.22/19.42  (assume a6418 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.archim2898591450579166408c_real X) X) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 19.22/19.42  (assume a6419 (forall ((X tptp.rat)) (= (= (tptp.aa_rat_rat tptp.archimedean_frac_rat X) X) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.one_one_rat))))))
% 19.22/19.42  (assume a6420 (forall ((X tptp.real) (Y tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real)) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real))) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real))))))
% 19.22/19.42  (assume a6421 (forall ((X tptp.rat) (Y tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.archimedean_frac_rat X)) (tptp.aa_rat_rat tptp.archimedean_frac_rat Y))) tptp.one_one_rat)) (= (tptp.aa_rat_rat tptp.archimedean_frac_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.archimedean_frac_rat X)) (tptp.aa_rat_rat tptp.archimedean_frac_rat Y)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.archimedean_frac_rat X)) (tptp.aa_rat_rat tptp.archimedean_frac_rat Y))) tptp.one_one_rat))) (= (tptp.aa_rat_rat tptp.archimedean_frac_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.archimedean_frac_rat X)) (tptp.aa_rat_rat tptp.archimedean_frac_rat Y))) tptp.one_one_rat))))))
% 19.22/19.42  (assume a6422 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= X (tptp.aa_real_real tptp.cos_real T2)) (= Y (tptp.aa_real_real tptp.sin_real T2)))))))))
% 19.22/19.42  (assume a6423 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (= X (tptp.aa_real_real tptp.cos_real T2)) (= Y (tptp.aa_real_real tptp.sin_real T2)))))))
% 19.22/19.42  (assume a6424 (forall ((X tptp.real) (Y tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real) (not (forall ((T2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (=> (= X (tptp.aa_real_real tptp.cos_real T2)) (not (= Y (tptp.aa_real_real tptp.sin_real T2)))))))))))
% 19.22/19.42  (assume a6425 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A)) A)))))))
% 19.22/19.42  (assume a6426 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real tptp.ln_ln_real X)) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real A) A)) X)))))))
% 19.22/19.42  (assume a6427 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (not (= B2 tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y)))))))))
% 19.22/19.42  (assume a6428 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (not (= B2 tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y)) X))))))))
% 19.22/19.42  (assume a6429 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (not (= B2 tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) Y)) X))))))))
% 19.22/19.42  (assume a6430 (forall ((N tptp.nat)) (=> (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.22/19.42  (assume a6431 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6432 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6433 (forall ((X tptp.real) (A tptp.real)) (and (=> (= X tptp.zero_zero_real) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) A) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.ln_ln_real X))))))))
% 19.22/19.42  (assume a6434 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6435 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6436 (forall ((W tptp.complex) (Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_complex_complex tptp.cos_complex Z)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex W) Z))) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex W) Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6437 (forall ((W tptp.real) (Z tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_real_real tptp.cos_real Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real W) Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real W) Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6438 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real X)))))))
% 19.22/19.42  (assume a6439 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.pi) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X)) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6440 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))) tptp.one_one_real))))))
% 19.22/19.42  (assume a6441 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6442 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X)))))))
% 19.22/19.42  (assume a6443 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real Y)) (tptp.aa_real_real tptp.sin_real X))))))))
% 19.22/19.42  (assume a6444 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))))
% 19.22/19.42  (assume a6445 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real tptp.sin_real Y)) (= X Y))))))))
% 19.22/19.42  (assume a6446 (forall ((B2 tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (=> (not (= B2 tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) (tptp.aa_real_real tptp.uminus_uminus_real Y))))))))))
% 19.22/19.42  (assume a6447 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6448 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6449 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6450 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.one_one_real) (exists ((X2 tptp.int)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real X2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))))))
% 19.22/19.42  (assume a6451 (forall ((W tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_complex))))
% 19.22/19.42  (assume a6452 (forall ((W tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real W)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_real))))
% 19.22/19.42  (assume a6453 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))) X)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_complex_complex tptp.cos_complex X))))))
% 19.22/19.42  (assume a6454 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))) (tptp.aa_real_real tptp.cos_real X))))))
% 19.22/19.42  (assume a6455 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.sqrt X)))))
% 19.22/19.42  (assume a6456 (forall ((X tptp.real) (N tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))))
% 19.22/19.42  (assume a6457 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.pi) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real X)) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6458 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X)) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6459 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real Y)) (tptp.aa_real_real tptp.sin_real X))))))))
% 19.22/19.42  (assume a6460 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.sin_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))))
% 19.22/19.42  (assume a6461 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real X3) Y) (forall ((Y4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real Y4) Y)) (= Y4 X3)))))))))
% 19.22/19.42  (assume a6462 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X)))))))
% 19.22/19.42  (assume a6463 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cos_real X)))))))
% 19.22/19.42  (assume a6464 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.one_one_real) (or (exists ((X2 tptp.nat)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))) (exists ((X2 tptp.nat)) (= X (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.pi))))))))
% 19.22/19.42  (assume a6465 (forall ((X tptp.real) (Y tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.archim2898591450579166408c_real X)) (tptp.aa_real_real tptp.archim2898591450579166408c_real Y))) tptp.one_one_real))) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))) tptp.one_one_int))))))
% 19.22/19.42  (assume a6466 (forall ((X tptp.rat) (Y tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.archimedean_frac_rat X)) (tptp.aa_rat_rat tptp.archimedean_frac_rat Y))) tptp.one_one_rat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y)))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.archimedean_frac_rat X)) (tptp.aa_rat_rat tptp.archimedean_frac_rat Y))) tptp.one_one_rat))) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y))) tptp.one_one_int))))))
% 19.22/19.42  (assume a6467 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.22/19.42  (assume a6468 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a6469 (forall ((X tptp.real) (B2 tptp.real) (K tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (= (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)) K) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) (tptp.aa_int_real tptp.ring_1_of_int_real K))) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real B2) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) tptp.one_one_int)))))))))))
% 19.22/19.42  (assume a6470 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arctan X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a6471 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cot_real X)))))))
% 19.22/19.42  (assume a6472 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (exists ((I2 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) I2)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6473 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real) (exists ((I2 tptp.int)) (and (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) I2))) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6474 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.42  (assume a6475 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real X) tptp.zero_zero_real) (or (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= X (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.42  (assume a6476 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real) (exists ((N3 tptp.nat)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N3))) (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.42  (assume a6477 (forall ((X tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.tan_complex X))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6478 (forall ((X tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.tan_real X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6479 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6480 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6481 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arcosh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6482 (forall ((Z tptp.complex)) (=> (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) tptp.one_one_real) (not (forall ((T2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (not (= Z (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.cos_real T2)) (tptp.aa_real_real tptp.sin_real T2)))))))))))
% 19.22/19.42  (assume a6483 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6484 (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.42  (assume a6485 (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.one_one_real) tptp.one_one_complex))
% 19.22/19.42  (assume a6486 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real X) tptp.one_one_real) (= X tptp.one_one_real))))
% 19.22/19.42  (assume a6487 (forall ((X tptp.real)) (= (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X) tptp.one_one_complex) (= X tptp.one_one_real))))
% 19.22/19.42  (assume a6488 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 19.22/19.42  (assume a6489 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 19.22/19.42  (assume a6490 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_num_real tptp.numeral_numeral_real W))))
% 19.22/19.42  (assume a6491 (forall ((W tptp.num)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.numera6690914467698888265omplex W))))
% 19.22/19.42  (assume a6492 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 19.22/19.42  (assume a6493 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 19.22/19.42  (assume a6494 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) N))))
% 19.22/19.42  (assume a6495 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) N))))
% 19.22/19.42  (assume a6496 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 19.22/19.42  (assume a6497 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 19.22/19.42  (assume a6498 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y)))))
% 19.22/19.42  (assume a6499 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y)))))
% 19.22/19.42  (assume a6500 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.pi)) (tptp.aa_real_real tptp.tan_real X))))
% 19.22/19.42  (assume a6501 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.42  (assume a6502 (forall ((W tptp.num)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W)))))
% 19.22/19.42  (assume a6503 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.42  (assume a6504 (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.42  (assume a6505 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi)) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6506 (forall ((X tptp.real) (N tptp.num)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real N)) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 19.22/19.42  (assume a6507 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y)))))
% 19.22/19.42  (assume a6508 (forall ((X tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 19.22/19.42  (assume a6509 (forall ((X tptp.real) (I tptp.int)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real I)) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 19.22/19.42  (assume a6510 (forall ((T tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.cos_real T)) (tptp.aa_real_real tptp.sin_real T))) tptp.one_one_real)))
% 19.22/19.42  (assume a6511 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) tptp.one_one_real)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)))))
% 19.22/19.42  (assume a6512 (forall ((X tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) tptp.one_one_complex)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) tptp.one_one_real)))))
% 19.22/19.42  (assume a6513 (forall ((X tptp.real) (B2 tptp.num)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_num_real tptp.numeral_numeral_real B2))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_num_real tptp.numeral_numeral_real B2))))))
% 19.22/19.42  (assume a6514 (forall ((X tptp.real) (B2 tptp.num)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.numera6690914467698888265omplex B2))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_num_real tptp.numeral_numeral_real B2))))))
% 19.22/19.42  (assume a6515 (= (tptp.aa_real_real tptp.arcsin tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6516 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))) (tptp.aa_real_real tptp.tan_real X))))
% 19.22/19.42  (assume a6517 (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))
% 19.22/19.42  (assume a6518 (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_complex))
% 19.22/19.42  (assume a6519 (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))
% 19.22/19.42  (assume a6520 (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex))
% 19.22/19.42  (assume a6521 (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.42  (assume a6522 (forall ((R2 tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) Y)))))
% 19.22/19.42  (assume a6523 (forall ((X tptp.real) (Y tptp.real) (R2 tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) R2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) R2)))))
% 19.22/19.42  (assume a6524 (forall ((R2 tptp.real) (X tptp.real) (Y tptp.real)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real R2) X)) Y))))
% 19.22/19.42  (assume a6525 (forall ((X tptp.real) (Y tptp.real) (R2 tptp.real)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) R2)) Y))))
% 19.22/19.42  (assume a6526 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_real_complex (tptp.complex2 A) B2)) (tptp.aa_real_complex (tptp.complex2 C) D)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) D)))))
% 19.22/19.42  (assume a6527 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B2) tptp.one_one_complex) (and (= A tptp.one_one_real) (= B2 tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6528 (= tptp.one_one_complex (tptp.aa_real_complex (tptp.complex2 tptp.one_one_real) tptp.zero_zero_real)))
% 19.22/19.42  (assume a6529 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B2) (tptp.numera6690914467698888265omplex W)) (and (= A (tptp.aa_num_real tptp.numeral_numeral_real W)) (= B2 tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6530 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex (tptp.complex2 A) B2)) (tptp.aa_real_complex (tptp.complex2 C) D)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real B2) D)))))
% 19.22/19.42  (assume a6531 (forall ((Y tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real X)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real Y))))))
% 19.22/19.42  (assume a6532 (forall ((Y tptp.real) (X tptp.real)) (=> (not (= Y tptp.zero_zero_real)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex Y))))))
% 19.22/19.42  (assume a6533 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (and (= A (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (= B2 tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6534 (forall ((A tptp.real) (B2 tptp.real) (W tptp.num)) (= (= (tptp.aa_real_complex (tptp.complex2 A) B2) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (and (= A (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (= B2 tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6535 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex (tptp.complex2 A) B2)) (tptp.aa_real_complex (tptp.complex2 C) D)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) D))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) D)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B2) C))))))
% 19.22/19.42  (assume a6536 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))))))))
% 19.22/19.42  (assume a6537 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.arcsin X)))))))
% 19.22/19.42  (assume a6538 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))
% 19.22/19.42  (assume a6539 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (= (tptp.aa_real_real tptp.arcsin X) (tptp.aa_real_real tptp.arcsin Y)) (= X Y))))))
% 19.22/19.42  (assume a6540 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X)) (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))) tptp.one_one_real))))))
% 19.22/19.42  (assume a6541 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) tptp.one_one_complex))))))
% 19.22/19.42  (assume a6542 (forall ((X4 tptp.complex)) (= (tptp.aa_complex_complex tptp.tan_complex X4) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex X4)) (tptp.aa_complex_complex tptp.cos_complex X4)))))
% 19.22/19.42  (assume a6543 (forall ((X4 tptp.real)) (= (tptp.aa_real_real tptp.tan_real X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real X4)) (tptp.aa_real_real tptp.cos_real X4)))))
% 19.22/19.42  (assume a6544 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))))))))
% 19.22/19.42  (assume a6545 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arcsin X)) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))
% 19.22/19.42  (assume a6546 (forall ((B2 tptp.real) (A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real B2)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real A)))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A))))))
% 19.22/19.42  (assume a6547 (forall ((B2 tptp.real) (A tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex B2)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex A)))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A))))))
% 19.22/19.42  (assume a6548 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_real))
% 19.22/19.42  (assume a6549 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one)))))
% 19.22/19.42  (assume a6550 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real X))) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 19.22/19.42  (assume a6551 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex M)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 19.22/19.42  (assume a6552 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real X))) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 19.22/19.42  (assume a6553 (forall ((M tptp.int) (X tptp.real)) (= (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex M)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real M)) X))))))
% 19.22/19.42  (assume a6554 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arcsin X)) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6555 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real tptp.tan_real X3))))))))
% 19.22/19.42  (assume a6556 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tan_real X)))))))
% 19.22/19.42  (assume a6557 (forall ((Y tptp.real)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real X3) Y) (forall ((Y4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real Y4) Y)) (= Y4 X3)))))))
% 19.22/19.42  (assume a6558 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real X))))))))
% 19.22/19.42  (assume a6559 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real X))))))))))
% 19.22/19.42  (assume a6560 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))))
% 19.22/19.42  (assume a6561 (forall ((Y tptp.real)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real X3) Y)))))
% 19.22/19.42  (assume a6562 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.42  (assume a6563 (forall ((Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)))))
% 19.22/19.42  (assume a6564 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex (tptp.complex2 X) Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6565 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))))))))
% 19.22/19.42  (assume a6566 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 19.22/19.42  (assume a6567 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (tptp.aa_real_real tptp.cot_real X))))
% 19.22/19.42  (assume a6568 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 19.22/19.42  (assume a6569 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.sin_complex X) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 19.22/19.42  (assume a6570 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 19.22/19.42  (assume a6571 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cos_complex X) (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) X)))))
% 19.22/19.42  (assume a6572 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.tan_real X)))))))
% 19.22/19.42  (assume a6573 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real X3) Y))))))
% 19.22/19.42  (assume a6574 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.tan_real X)) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6575 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))))))))
% 19.22/19.42  (assume a6576 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))))
% 19.22/19.42  (assume a6577 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.tan_real X))) tptp.one_one_real)))))
% 19.22/19.42  (assume a6578 (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 tptp.one))))))
% 19.22/19.42  (assume a6579 (forall ((Y tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arctan Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arctan Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real tptp.arctan Y)) Y))))
% 19.22/19.42  (assume a6580 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.arctan (tptp.aa_real_real tptp.tan_real X)) X)))))
% 19.22/19.42  (assume a6581 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (= (tptp.aa_real_real tptp.tan_real X) Y) (= (tptp.aa_real_real tptp.arctan Y) X))))))
% 19.22/19.42  (assume a6582 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cos_complex X)) (tptp.aa_complex_complex tptp.cos_complex Y))))))))
% 19.22/19.42  (assume a6583 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.cos_real Y))))))))
% 19.22/19.42  (assume a6584 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))))))))))
% 19.22/19.42  (assume a6585 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))))))))))
% 19.22/19.42  (assume a6586 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex Y) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tan_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_complex_complex tptp.tan_complex Y))))))))))
% 19.22/19.42  (assume a6587 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real Y) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_real_real tptp.tan_real Y))))))))))
% 19.22/19.42  (assume a6588 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sin_real X)) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.real_V1803761363581548252l_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6589 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.sin_complex X)) (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.42  (assume a6590 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.aa_real_real tptp.tan_real Z2) X))))))
% 19.22/19.42  (assume a6591 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6592 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y)))))))
% 19.22/19.42  (assume a6593 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a6594 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6595 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.arcsin (tptp.aa_real_real tptp.sin_real X)) X)))))
% 19.22/19.42  (assume a6596 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.tan_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sin_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cos_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X))) tptp.one_one_complex)))))
% 19.22/19.42  (assume a6597 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X))) tptp.one_one_real)))))
% 19.22/19.42  (assume a6598 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real tptp.arcsin X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sin_real Y)) X)))))))))
% 19.22/19.42  (assume a6599 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin X)) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real tptp.sin_real Y))))))))))
% 19.22/19.42  (assume a6600 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) tptp.pi)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y))))))
% 19.22/19.42  (assume a6601 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real tptp.arcsin Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arcsin Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arcsin Y)) Y))))))
% 19.22/19.42  (assume a6602 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.arsinh_real X) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)) (tptp.aa_real_real tptp.real_V1803761363581548252l_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6603 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a6604 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos X)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.42  (assume a6605 (forall ((Theta tptp.real)) (not (forall ((K2 tptp.int)) (not (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real Theta)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Theta) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real K2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))))))))))
% 19.22/19.42  (assume a6606 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 19.22/19.42  (assume a6607 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 19.22/19.42  (assume a6608 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 19.22/19.42  (assume a6609 (forall ((L tptp.int) (K tptp.int) (N tptp.nat) (M tptp.nat)) (and (=> (or (= (tptp.aa_int_int tptp.sgn_sgn_int L) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))) (=> (not (or (= (tptp.aa_int_int tptp.sgn_sgn_int L) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N tptp.zero_zero_nat))) (and (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N))))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M)))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))))))))))
% 19.22/19.42  (assume a6610 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int tptp.sgn_sgn_int A)) (tptp.aa_int_int tptp.sgn_sgn_int A))))
% 19.22/19.42  (assume a6611 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_real_real tptp.sgn_sgn_real A))))
% 19.22/19.42  (assume a6612 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)) (tptp.aa_complex_complex tptp.sgn_sgn_complex A))))
% 19.22/19.42  (assume a6613 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A))))
% 19.22/19.42  (assume a6614 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.aa_rat_rat tptp.sgn_sgn_rat A))))
% 19.22/19.42  (assume a6615 (= (tptp.aa_complex_complex tptp.sgn_sgn_complex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.22/19.42  (assume a6616 (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))
% 19.22/19.42  (assume a6617 (= (tptp.aa_real_real tptp.sgn_sgn_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.22/19.42  (assume a6618 (= (tptp.aa_rat_rat tptp.sgn_sgn_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.22/19.42  (assume a6619 (= (tptp.aa_int_int tptp.sgn_sgn_int tptp.zero_zero_int) tptp.zero_zero_int))
% 19.22/19.42  (assume a6620 (= (tptp.aa_int_int tptp.sgn_sgn_int tptp.one_one_int) tptp.one_one_int))
% 19.22/19.42  (assume a6621 (= (tptp.aa_real_real tptp.sgn_sgn_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.42  (assume a6622 (= (tptp.aa_complex_complex tptp.sgn_sgn_complex tptp.one_one_complex) tptp.one_one_complex))
% 19.22/19.42  (assume a6623 (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer tptp.one_one_Code_integer) tptp.one_one_Code_integer))
% 19.22/19.42  (assume a6624 (= (tptp.aa_rat_rat tptp.sgn_sgn_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.22/19.42  (assume a6625 (= (tptp.aa_real_real tptp.sgn_sgn_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.42  (assume a6626 (= (tptp.aa_complex_complex tptp.sgn_sgn_complex tptp.one_one_complex) tptp.one_one_complex))
% 19.22/19.42  (assume a6627 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)) (tptp.aa_complex_complex tptp.sgn_sgn_complex B2)))))
% 19.22/19.42  (assume a6628 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_real_real tptp.sgn_sgn_real B2)))))
% 19.22/19.42  (assume a6629 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.aa_rat_rat tptp.sgn_sgn_rat B2)))))
% 19.22/19.42  (assume a6630 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sgn_sgn_real A)))))
% 19.22/19.42  (assume a6631 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.sgn_sgn_int A)))))
% 19.22/19.42  (assume a6632 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)))))
% 19.22/19.42  (assume a6633 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)))))
% 19.22/19.42  (assume a6634 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)))))
% 19.22/19.42  (assume a6635 (forall ((A tptp.code_integer) (N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.power_8256067586552552935nteger A N)) (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) N))))
% 19.22/19.42  (assume a6636 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) N))))
% 19.22/19.42  (assume a6637 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sgn_sgn_real A)) N))))
% 19.22/19.42  (assume a6638 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_nat_int (tptp.power_power_int A) N)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.sgn_sgn_int A)) N))))
% 19.22/19.42  (assume a6639 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.22/19.42  (assume a6640 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sgn_sgn_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.22/19.42  (assume a6641 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.sgn_sgn_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.22/19.42  (assume a6642 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int tptp.sgn_sgn_int A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 19.22/19.42  (assume a6643 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.42  (assume a6644 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sgn_sgn_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6645 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a6646 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.sgn_sgn_int A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 19.22/19.42  (assume a6647 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real tptp.sgn_sgn_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.sgn_sgn_real B2)))))
% 19.22/19.42  (assume a6648 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_rat_rat tptp.sgn_sgn_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.sgn_sgn_rat B2)))))
% 19.22/19.42  (assume a6649 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex tptp.zero_zero_nat) tptp.one_one_complex))
% 19.22/19.42  (assume a6650 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat tptp.zero_zero_nat) tptp.one_one_rat))
% 19.22/19.42  (assume a6651 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int tptp.zero_zero_nat) tptp.one_one_int))
% 19.22/19.42  (assume a6652 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat tptp.zero_zero_nat) tptp.one_one_nat))
% 19.22/19.42  (assume a6653 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real tptp.zero_zero_nat) tptp.one_one_real))
% 19.22/19.42  (assume a6654 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex tptp.one_one_nat) tptp.one_one_complex))
% 19.22/19.42  (assume a6655 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat tptp.one_one_nat) tptp.one_one_rat))
% 19.22/19.42  (assume a6656 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int tptp.one_one_nat) tptp.one_one_int))
% 19.22/19.42  (assume a6657 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat tptp.one_one_nat) tptp.one_one_nat))
% 19.22/19.42  (assume a6658 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real tptp.one_one_nat) tptp.one_one_real))
% 19.22/19.42  (assume a6659 (= (tptp.aa_real_real tptp.arccos tptp.one_one_real) tptp.zero_zero_real))
% 19.22/19.42  (assume a6660 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) tptp.one_one_Code_integer))))
% 19.22/19.42  (assume a6661 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.one_one_real))))
% 19.22/19.42  (assume a6662 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.one_one_rat))))
% 19.22/19.42  (assume a6663 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (= (tptp.aa_int_int tptp.sgn_sgn_int A) tptp.one_one_int))))
% 19.22/19.42  (assume a6664 (forall ((A tptp.code_integer)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) tptp.one_one_Code_integer))))
% 19.22/19.42  (assume a6665 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sgn_sgn_real A)) tptp.one_one_real))))
% 19.22/19.42  (assume a6666 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) tptp.one_one_rat))))
% 19.22/19.42  (assume a6667 (forall ((A tptp.int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.sgn_sgn_int A)) tptp.one_one_int))))
% 19.22/19.42  (assume a6668 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_complex))
% 19.22/19.42  (assume a6669 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_rat))
% 19.22/19.42  (assume a6670 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_int))
% 19.22/19.42  (assume a6671 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_nat))
% 19.22/19.42  (assume a6672 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) tptp.one_one_real))
% 19.22/19.42  (assume a6673 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 19.22/19.42  (assume a6674 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 19.22/19.42  (assume a6675 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 19.22/19.42  (assume a6676 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 19.22/19.42  (assume a6677 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 19.22/19.42  (assume a6678 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.zero_n3304061248610475627l_real (tptp.aa_bool_bool tptp.fNot (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real A) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6679 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.zero_n2052037380579107095ol_rat (tptp.aa_bool_bool tptp.fNot (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.fequal_rat A) tptp.zero_zero_rat))))))
% 19.22/19.42  (assume a6680 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int A)) (tptp.aa_int_int tptp.sgn_sgn_int A)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int A) tptp.zero_zero_int))))))
% 19.22/19.42  (assume a6681 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer A) tptp.zero_z3403309356797280102nteger))))))
% 19.22/19.42  (assume a6682 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex tptp.abs_abs_complex A)) (tptp.zero_n1201886186963655149omplex (tptp.aa_bool_bool tptp.fNot (tptp.aa_complex_bool (tptp.fequal_complex A) tptp.zero_zero_complex))))))
% 19.22/19.42  (assume a6683 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.zero_n3304061248610475627l_real (tptp.aa_bool_bool tptp.fNot (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real A) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6684 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.zero_n2052037380579107095ol_rat (tptp.aa_bool_bool tptp.fNot (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.fequal_rat A) tptp.zero_zero_rat))))))
% 19.22/19.42  (assume a6685 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int A) tptp.zero_zero_int))))))
% 19.22/19.42  (assume a6686 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.abs_abs_Code_integer A)) (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer A) tptp.zero_z3403309356797280102nteger))))))
% 19.22/19.42  (assume a6687 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.abs_abs_complex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)) (tptp.zero_n1201886186963655149omplex (tptp.aa_bool_bool tptp.fNot (tptp.aa_complex_bool (tptp.fequal_complex A) tptp.zero_zero_complex))))))
% 19.22/19.42  (assume a6688 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.zero_n3304061248610475627l_real (tptp.aa_bool_bool tptp.fNot (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real A) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6689 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.zero_n2052037380579107095ol_rat (tptp.aa_bool_bool tptp.fNot (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.fequal_rat A) tptp.zero_zero_rat))))))
% 19.22/19.42  (assume a6690 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.sgn_sgn_int A)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int A) tptp.zero_zero_int))))))
% 19.22/19.42  (assume a6691 (forall ((A tptp.code_integer)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer A) tptp.zero_z3403309356797280102nteger))))))
% 19.22/19.42  (assume a6692 (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.pi))
% 19.22/19.42  (assume a6693 (forall ((R2 tptp.int) (L tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int R2)) L)) K)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)) (=> (= R2 tptp.zero_zero_int) (= K tptp.zero_zero_int))))))
% 19.22/19.42  (assume a6694 (forall ((L tptp.int) (R2 tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int L) (tptp.aa_int_int tptp.sgn_sgn_int R2))) K)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)) (=> (= R2 tptp.zero_zero_int) (= K tptp.zero_zero_int))))))
% 19.22/19.42  (assume a6695 (forall ((L tptp.int) (R2 tptp.int) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int R2)) K))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)) (= R2 tptp.zero_zero_int)))))
% 19.22/19.42  (assume a6696 (forall ((L tptp.int) (K tptp.int) (R2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) (tptp.aa_int_int tptp.sgn_sgn_int R2)))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)) (= R2 tptp.zero_zero_int)))))
% 19.22/19.42  (assume a6697 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.sgn_sgn_real A) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.42  (assume a6698 (forall ((A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.sgn_sgn_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))))
% 19.22/19.42  (assume a6699 (forall ((A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))))
% 19.22/19.42  (assume a6700 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))))
% 19.22/19.42  (assume a6701 (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.42  (assume a6702 (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.42  (assume a6703 (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.42  (assume a6704 (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.42  (assume a6705 (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.42  (assume a6706 (forall ((N tptp.nat)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.zero_n3304061248610475627l_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a6707 (forall ((N tptp.nat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.zero_n2052037380579107095ol_rat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a6708 (forall ((N tptp.nat)) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a6709 (forall ((N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.semiri4939895301339042750nteger N)) (tptp.zero_n356916108424825756nteger (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.42  (assume a6710 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arccos Y)) Y)))))
% 19.22/19.42  (assume a6711 (= (tptp.aa_real_real tptp.arccos tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6712 (forall ((Z tptp.complex)) (exists ((A4 tptp.complex) (R3 tptp.real)) (= Z (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R3)) (tptp.aa_complex_complex tptp.exp_complex A4))))))
% 19.22/19.42  (assume a6713 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))))
% 19.22/19.42  (assume a6714 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 19.22/19.42  (assume a6715 (forall ((A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.sgn_sgn_complex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 19.22/19.42  (assume a6716 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.42  (assume a6717 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.42  (assume a6718 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.42  (assume a6719 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.sgn_sgn_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.22/19.42  (assume a6720 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) tptp.zero_z3403309356797280102nteger) (= A tptp.zero_z3403309356797280102nteger))))
% 19.22/19.42  (assume a6721 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.42  (assume a6722 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.42  (assume a6723 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.sgn_sgn_int A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.22/19.42  (assume a6724 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sgn_sgn_complex X)) (tptp.aa_complex_complex tptp.sgn_sgn_complex Y)))))
% 19.22/19.42  (assume a6725 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real X)) (tptp.aa_real_real tptp.sgn_sgn_real Y)))))
% 19.22/19.42  (assume a6726 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)) (tptp.aa_complex_complex tptp.sgn_sgn_complex B2)))))
% 19.22/19.42  (assume a6727 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger A) B2)) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer B2)))))
% 19.22/19.42  (assume a6728 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_real_real tptp.sgn_sgn_real B2)))))
% 19.22/19.42  (assume a6729 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.aa_rat_rat tptp.sgn_sgn_rat B2)))))
% 19.22/19.42  (assume a6730 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int A)) (tptp.aa_int_int tptp.sgn_sgn_int B2)))))
% 19.22/19.42  (assume a6731 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer B2) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.plus_p5714425477246183910nteger A B2)) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)))))
% 19.22/19.42  (assume a6732 (forall ((B2 tptp.real) (A tptp.real)) (=> (= (tptp.aa_real_real tptp.sgn_sgn_real B2) (tptp.aa_real_real tptp.sgn_sgn_real A)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real tptp.sgn_sgn_real A)))))
% 19.22/19.42  (assume a6733 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (= (tptp.aa_rat_rat tptp.sgn_sgn_rat B2) (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat tptp.sgn_sgn_rat A)))))
% 19.22/19.42  (assume a6734 (forall ((B2 tptp.int) (A tptp.int)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int B2) (tptp.aa_int_int tptp.sgn_sgn_int A)) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int tptp.sgn_sgn_int A)))))
% 19.22/19.42  (assume a6735 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))))
% 19.22/19.42  (assume a6736 (forall ((B2 tptp.real) (A tptp.real)) (=> (not (= (tptp.aa_real_real tptp.sgn_sgn_real B2) (tptp.aa_real_real tptp.sgn_sgn_real A))) (=> (not (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.sgn_sgn_real B2) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.sgn_sgn_real A) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sgn_sgn_real B2))))))))
% 19.22/19.42  (assume a6737 (forall ((B2 tptp.int) (A tptp.int)) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int B2) (tptp.aa_int_int tptp.sgn_sgn_int A))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int A) tptp.zero_zero_int)) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int B2) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.sgn_sgn_int A) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.sgn_sgn_int B2))))))))
% 19.22/19.42  (assume a6738 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (not (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer B2) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A))) (=> (not (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) tptp.zero_z3403309356797280102nteger)) (=> (not (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer B2) tptp.zero_z3403309356797280102nteger)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer B2))))))))
% 19.22/19.42  (assume a6739 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (not (= (tptp.aa_rat_rat tptp.sgn_sgn_rat B2) (tptp.aa_rat_rat tptp.sgn_sgn_rat A))) (=> (not (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.zero_zero_rat)) (=> (not (= (tptp.aa_rat_rat tptp.sgn_sgn_rat B2) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat B2))))))))
% 19.22/19.42  (assume a6740 (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))
% 19.22/19.42  (assume a6741 (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 19.22/19.42  (assume a6742 (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.42  (assume a6743 (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.22/19.42  (assume a6744 (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)))
% 19.22/19.42  (assume a6745 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 19.22/19.42  (assume a6746 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 19.22/19.42  (assume a6747 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 19.22/19.42  (assume a6748 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 19.22/19.42  (assume a6749 (forall ((K tptp.code_integer)) (= (tptp.abs_abs_Code_integer K) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger K) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer K)))))
% 19.22/19.42  (assume a6750 (forall ((K tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real K) (tptp.aa_real_real tptp.sgn_sgn_real K)))))
% 19.22/19.42  (assume a6751 (forall ((K tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat K) (tptp.aa_rat_rat tptp.sgn_sgn_rat K)))))
% 19.22/19.42  (assume a6752 (forall ((K tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) (tptp.aa_int_int tptp.sgn_sgn_int K)))))
% 19.22/19.42  (assume a6753 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.abs_abs_complex A)) (tptp.aa_complex_complex tptp.sgn_sgn_complex A)) A)))
% 19.22/19.42  (assume a6754 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A)) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) A)))
% 19.22/19.42  (assume a6755 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.sgn_sgn_real A)) A)))
% 19.22/19.42  (assume a6756 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) A)))
% 19.22/19.42  (assume a6757 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.sgn_sgn_int A)) A)))
% 19.22/19.42  (assume a6758 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)) (tptp.aa_complex_complex tptp.abs_abs_complex A)) A)))
% 19.22/19.42  (assume a6759 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (tptp.abs_abs_Code_integer A)) A)))
% 19.22/19.42  (assume a6760 (forall ((A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_real_real tptp.abs_abs_real A)) A)))
% 19.22/19.42  (assume a6761 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat A)) A)))
% 19.22/19.42  (assume a6762 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int A)) (tptp.aa_int_int tptp.abs_abs_int A)) A)))
% 19.22/19.42  (assume a6763 (forall ((X tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer X)) (tptp.abs_abs_Code_integer X)) X)))
% 19.22/19.42  (assume a6764 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real X)) (tptp.aa_real_real tptp.abs_abs_real X)) X)))
% 19.22/19.42  (assume a6765 (forall ((X tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat X)) (tptp.aa_rat_rat tptp.abs_abs_rat X)) X)))
% 19.22/19.42  (assume a6766 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int X)) (tptp.aa_int_int tptp.abs_abs_int X)) X)))
% 19.22/19.42  (assume a6767 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a6768 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) tptp.zero_zero_int)))))
% 19.22/19.42  (assume a6769 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) tptp.zero_zero_nat)))))
% 19.22/19.42  (assume a6770 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6771 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 19.22/19.42  (assume a6772 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 19.22/19.42  (assume a6773 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 19.22/19.42  (assume a6774 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 19.22/19.42  (assume a6775 (forall ((K tptp.int)) (not (forall ((N3 tptp.nat) (L2 tptp.int)) (not (= K (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L2)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N3))))))))
% 19.22/19.42  (assume a6776 (forall ((B2 tptp.code_integer) (A tptp.code_integer)) (=> (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer B2) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) (= (tptp.abs_abs_Code_integer (tptp.plus_p5714425477246183910nteger A B2)) (tptp.plus_p5714425477246183910nteger (tptp.abs_abs_Code_integer A) (tptp.abs_abs_Code_integer B2))))))
% 19.22/19.42  (assume a6777 (forall ((B2 tptp.real) (A tptp.real)) (=> (= (tptp.aa_real_real tptp.sgn_sgn_real B2) (tptp.aa_real_real tptp.sgn_sgn_real A)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real A)) (tptp.aa_real_real tptp.abs_abs_real B2))))))
% 19.22/19.42  (assume a6778 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (= (tptp.aa_rat_rat tptp.sgn_sgn_rat B2) (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)) (tptp.aa_rat_rat tptp.abs_abs_rat B2))))))
% 19.22/19.42  (assume a6779 (forall ((B2 tptp.int) (A tptp.int)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int B2) (tptp.aa_int_int tptp.sgn_sgn_int A)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))))))
% 19.22/19.42  (assume a6780 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 19.22/19.42  (assume a6781 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 19.22/19.42  (assume a6782 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 19.22/19.42  (assume a6783 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 19.22/19.42  (assume a6784 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat M)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N))))))
% 19.22/19.42  (assume a6785 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))))))
% 19.22/19.42  (assume a6786 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))))
% 19.22/19.42  (assume a6787 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))))))
% 19.22/19.42  (assume a6788 (forall ((K tptp.int) (L tptp.int)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L))))))
% 19.22/19.42  (assume a6789 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M))))))
% 19.22/19.42  (assume a6790 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.semiri3624122377584611663nteger N)) (tptp.semiri3624122377584611663nteger M))))))
% 19.22/19.42  (assume a6791 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M))))))
% 19.22/19.42  (assume a6792 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M))))))
% 19.22/19.42  (assume a6793 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex tptp.one_one_complex) N))))
% 19.22/19.42  (assume a6794 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat tptp.one_one_rat) N))))
% 19.22/19.42  (assume a6795 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int tptp.one_one_int) N))))
% 19.22/19.42  (assume a6796 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat tptp.one_one_nat) N))))
% 19.22/19.42  (assume a6797 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real tptp.one_one_real) N))))
% 19.22/19.42  (assume a6798 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 19.22/19.42  (assume a6799 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) tptp.one_one_Code_integer) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) A)))))
% 19.22/19.42  (assume a6800 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.one_one_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.22/19.42  (assume a6801 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.one_one_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.22/19.42  (assume a6802 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.sgn_sgn_int A) tptp.one_one_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)))))
% 19.22/19.42  (assume a6803 (forall ((A tptp.code_integer)) (and (=> (= A tptp.zero_z3403309356797280102nteger) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) tptp.zero_z3403309356797280102nteger)) (=> (not (= A tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A)) tptp.one_one_Code_integer)))))
% 19.22/19.42  (assume a6804 (forall ((A tptp.real)) (and (=> (= A tptp.zero_zero_real) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sgn_sgn_real A)) tptp.zero_zero_real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.sgn_sgn_real A)) tptp.one_one_real)))))
% 19.22/19.42  (assume a6805 (forall ((A tptp.rat)) (and (=> (= A tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) tptp.zero_zero_rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) tptp.one_one_rat)))))
% 19.22/19.42  (assume a6806 (forall ((A tptp.int)) (and (=> (= A tptp.zero_zero_int) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.sgn_sgn_int A)) tptp.zero_zero_int)) (=> (not (= A tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.sgn_sgn_int A)) tptp.one_one_int)))))
% 19.22/19.42  (assume a6807 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat M) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))))
% 19.22/19.42  (assume a6808 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat M)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))))
% 19.22/19.42  (assume a6809 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))))
% 19.22/19.42  (assume a6810 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))))
% 19.22/19.42  (assume a6811 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))))
% 19.22/19.42  (assume a6812 (forall ((L tptp.int) (K tptp.int)) (=> (not (= L tptp.zero_zero_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K))) (= (tptp.aa_int_int tptp.sgn_sgn_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L)) (tptp.aa_int_int tptp.sgn_sgn_int L))))))
% 19.22/19.42  (assume a6813 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M)) tptp.zero_zero_int))))
% 19.22/19.42  (assume a6814 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.modulo364778990260209775nteger (tptp.semiri3624122377584611663nteger N) (tptp.semiri3624122377584611663nteger M)) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.42  (assume a6815 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) tptp.zero_zero_nat))))
% 19.22/19.42  (assume a6816 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.semiri3624122377584611663nteger K)) (tptp.semiri3624122377584611663nteger N))) (tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 19.22/19.42  (assume a6817 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 19.22/19.42  (assume a6818 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int K)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 19.22/19.42  (assume a6819 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 19.22/19.42  (assume a6820 (forall ((K tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) N))))))
% 19.22/19.42  (assume a6821 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 19.22/19.42  (assume a6822 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 19.22/19.42  (assume a6823 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 19.22/19.42  (assume a6824 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) N))))))
% 19.22/19.42  (assume a6825 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real tptp.arccos X))))))))
% 19.22/19.42  (assume a6826 (forall ((X tptp.real) (Y tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real))) (= (= (tptp.aa_real_real tptp.arccos X) (tptp.aa_real_real tptp.arccos Y)) (= X Y)))))
% 19.22/19.42  (assume a6827 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos X)) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))
% 19.22/19.42  (assume a6828 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat tptp.suc M))) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))))
% 19.22/19.42  (assume a6829 (forall ((X tptp.real)) (and (=> (= X tptp.zero_zero_real) (= (tptp.aa_real_real tptp.sgn_sgn_real X) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.sgn_sgn_real X) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X))) (= (tptp.aa_real_real tptp.sgn_sgn_real X) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))))
% 19.22/19.42  (assume a6830 (forall ((X tptp.int)) (and (=> (= X tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int X) tptp.zero_zero_int)) (=> (not (= X tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X)) (= (tptp.aa_int_int tptp.sgn_sgn_int X) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) X))) (= (tptp.aa_int_int tptp.sgn_sgn_int X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))))
% 19.22/19.42  (assume a6831 (forall ((X tptp.code_integer)) (and (=> (= X tptp.zero_z3403309356797280102nteger) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer X) tptp.zero_z3403309356797280102nteger)) (=> (not (= X tptp.zero_z3403309356797280102nteger)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) X)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer X) tptp.one_one_Code_integer)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) X))) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer X) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))))))
% 19.22/19.42  (assume a6832 (forall ((X tptp.rat)) (and (=> (= X tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat X) tptp.zero_zero_rat)) (=> (not (= X tptp.zero_zero_rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat X) tptp.one_one_rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X))) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat X) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))))
% 19.22/19.42  (assume a6833 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.sgn_sgn_real A) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6834 (forall ((A tptp.int)) (= (= (tptp.aa_int_int tptp.sgn_sgn_int A) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int)))))
% 19.22/19.42  (assume a6835 (forall ((A tptp.code_integer)) (= (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer A) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger A) tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.42  (assume a6836 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a6837 (forall ((I tptp.int)) (and (=> (= I tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int I) tptp.zero_zero_int)) (=> (not (= I tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) I)) (= (tptp.aa_int_int tptp.sgn_sgn_int I) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) I))) (= (tptp.aa_int_int tptp.sgn_sgn_int I) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))))
% 19.22/19.42  (assume a6838 (forall ((R2 tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat R2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) R2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat N) R2))))))
% 19.22/19.42  (assume a6839 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)))))
% 19.22/19.42  (assume a6840 (forall ((X tptp.real)) (and (=> (= X tptp.zero_zero_real) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.sgn_sgn_real X)) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.sgn_sgn_real X)) tptp.one_one_real)))))
% 19.22/19.42  (assume a6841 (forall ((X tptp.complex)) (and (=> (= X tptp.zero_zero_complex) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.sgn_sgn_complex X)) tptp.zero_zero_real)) (=> (not (= X tptp.zero_zero_complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.sgn_sgn_complex X)) tptp.one_one_real)))))
% 19.22/19.42  (assume a6842 (forall ((V tptp.int) (K tptp.int) (L tptp.int)) (=> (not (= V tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int V)) (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int V)) (tptp.aa_int_int tptp.abs_abs_int L))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L))))))
% 19.22/19.42  (assume a6843 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_int_int tptp.sgn_sgn_int L))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L)))))))
% 19.22/19.42  (assume a6844 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.semiri3624122377584611663nteger K)) (tptp.semiri3624122377584611663nteger (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.semiri3624122377584611663nteger N))))))
% 19.22/19.42  (assume a6845 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.dvd_dvd_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N))))))
% 19.22/19.42  (assume a6846 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int K)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N))))))
% 19.22/19.42  (assume a6847 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))))
% 19.22/19.42  (assume a6848 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))))))
% 19.22/19.42  (assume a6849 (forall ((K tptp.num)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex K)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.42  (assume a6850 (forall ((K tptp.num)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.42  (assume a6851 (forall ((K tptp.num)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.42  (assume a6852 (forall ((K tptp.num)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.42  (assume a6853 (forall ((K tptp.num)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.42  (assume a6854 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arccos Y)))))))
% 19.22/19.42  (assume a6855 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real tptp.arccos X))))))))
% 19.22/19.42  (assume a6856 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arccos X)) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))))
% 19.22/19.42  (assume a6857 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) tptp.pi))))))
% 19.22/19.42  (assume a6858 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real X)) X)))))
% 19.22/19.42  (assume a6859 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Y)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arccos Y)) Y))))
% 19.22/19.42  (assume a6860 (forall ((Theta tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real Theta)) tptp.pi)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real Theta)) (tptp.aa_real_real tptp.abs_abs_real Theta)))))
% 19.22/19.42  (assume a6861 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))))
% 19.22/19.42  (assume a6862 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.42  (assume a6863 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.arccos Y)) tptp.pi)))))))
% 19.22/19.42  (assume a6864 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) tptp.pi)))))))
% 19.22/19.42  (assume a6865 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (not (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real tptp.arccos X)) tptp.zero_zero_real))))))
% 19.22/19.42  (assume a6866 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) X)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.cos_real X)) (tptp.aa_real_real tptp.uminus_uminus_real X))))))
% 19.22/19.42  (assume a6867 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.pi) (tptp.aa_real_real tptp.arccos X)))))))
% 19.22/19.42  (assume a6868 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex M) tptp.one_one_complex)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex M) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a6869 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat M) tptp.one_one_rat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat M) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a6870 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M) tptp.one_one_int)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int M) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a6871 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M) tptp.one_one_nat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a6872 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M) tptp.one_one_real)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real M) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat))))))))
% 19.22/19.42  (assume a6873 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a6874 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a6875 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a6876 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a6877 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a6878 (forall ((N tptp.nat)) (= (tptp.comm_s8582702949713902594nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.semiri4939895301339042750nteger N)) N) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.power_8256067586552552935nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) N)) (tptp.semiri3624122377584611663nteger N)))))
% 19.22/19.42  (assume a6879 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) N) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)))))
% 19.22/19.42  (assume a6880 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)))))
% 19.22/19.42  (assume a6881 (forall ((N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) N)) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N)))))
% 19.22/19.42  (assume a6882 (forall ((N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))
% 19.22/19.42  (assume a6883 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))))
% 19.22/19.42  (assume a6884 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))))
% 19.22/19.42  (assume a6885 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))))
% 19.22/19.42  (assume a6886 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))))))
% 19.22/19.42  (assume a6887 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))))))
% 19.22/19.42  (assume a6888 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))))))
% 19.22/19.42  (assume a6889 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.arccos Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real tptp.arccos Y)) Y))))))
% 19.22/19.42  (assume a6890 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arccos (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.pi) (tptp.aa_real_real tptp.arccos X))))))
% 19.22/19.42  (assume a6891 (forall ((L tptp.int) (K tptp.int)) (=> (not (= L tptp.zero_zero_int)) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L)))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)))))))))
% 19.22/19.42  (assume a6892 (forall ((Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.arccos Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.42  (assume a6893 (forall ((L tptp.int) (K tptp.int) (N tptp.nat) (M tptp.nat)) (and (=> (or (= (tptp.aa_int_int tptp.sgn_sgn_int L) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N tptp.zero_zero_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) tptp.zero_zero_int)) (=> (not (or (= (tptp.aa_int_int tptp.sgn_sgn_int L) tptp.zero_zero_int) (= (tptp.aa_int_int tptp.sgn_sgn_int K) tptp.zero_zero_int) (= N tptp.zero_zero_nat))) (and (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int K)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat N) M)))))))))))))
% 19.22/19.42  (assume a6894 (forall ((X4 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X4)) (= (tptp.aa_nat_real tptp.sin_coeff X4) tptp.zero_zero_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X4))) (= (tptp.aa_nat_real tptp.sin_coeff X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X4) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real X4)))))))
% 19.22/19.42  (assume a6895 (forall ((N tptp.nat) (K tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K)) tptp.one_one_nat)) N) tptp.one_one_nat)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat K)))))))))
% 19.22/19.42  (assume a6896 (forall ((X4 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X4)) (= (tptp.aa_nat_real tptp.cos_coeff X4) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X4) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real X4)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) X4))) (= (tptp.aa_nat_real tptp.cos_coeff X4) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6897 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi))) tptp.imaginary_unit)) tptp.one_one_complex))
% 19.22/19.42  (assume a6898 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_complex))
% 19.22/19.42  (assume a6899 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sgn_sgn_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.42  (assume a6900 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sgn_sgn_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a6901 (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex tptp.imaginary_unit) tptp.one_one_real))
% 19.22/19.42  (assume a6902 (= (tptp.aa_nat_real tptp.cos_coeff tptp.zero_zero_nat) tptp.one_one_real))
% 19.22/19.42  (assume a6903 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.imaginary_unit)) X))))
% 19.22/19.42  (assume a6904 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) X)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X))))
% 19.22/19.42  (assume a6905 (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) tptp.imaginary_unit) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.42  (assume a6906 (forall ((Z tptp.complex) (N tptp.num)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex N)) tptp.imaginary_unit)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) Z))) (tptp.numera6690914467698888265omplex N)))))
% 19.22/19.42  (assume a6907 (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.imaginary_unit) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.42  (assume a6908 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex tptp.imaginary_unit) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N))))
% 19.22/19.42  (assume a6909 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.42  (assume a6910 (= (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex tptp.pi)) tptp.imaginary_unit)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))
% 19.22/19.42  (assume a6911 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) (tptp.aa_real_real tptp.abs_abs_real X)))))
% 19.22/19.42  (assume a6912 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 19.22/19.42  (assume a6913 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.sin_coeff (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.cos_coeff N)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.42  (assume a6914 (forall ((W tptp.complex) (Z tptp.complex)) (= (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) W) Z) (= W (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) Z))))))
% 19.22/19.42  (assume a6915 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.cos_coeff (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.sin_coeff N))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.42  (assume a6916 (= tptp.imaginary_unit (tptp.aa_real_complex (tptp.complex2 tptp.zero_zero_real) tptp.one_one_real)))
% 19.22/19.42  (assume a6917 (forall ((X tptp.real) (Y tptp.real)) (= (= (tptp.aa_real_complex (tptp.complex2 X) Y) tptp.imaginary_unit) (and (= X tptp.zero_zero_real) (= Y tptp.one_one_real)))))
% 19.22/19.42  (assume a6918 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex (tptp.complex2 A) B2)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.uminus_uminus_real B2)) A))))
% 19.22/19.42  (assume a6919 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex (tptp.complex2 A) B2)) tptp.imaginary_unit) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.uminus_uminus_real B2)) A))))
% 19.22/19.42  (assume a6920 (forall ((A tptp.real)) (and (=> (= A tptp.zero_zero_real) (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.zero_zero_real)) (=> (not (= A tptp.zero_zero_real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real tptp.sgn_sgn_real A) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A))) (= (tptp.aa_real_real tptp.sgn_sgn_real A) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real))))))))
% 19.22/19.42  (assume a6921 (forall ((A tptp.real) (N tptp.nat) (X tptp.real) (B2 tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real A)) N)) X) (=> (= X (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real B2)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real B2)) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= A B2))))))
% 19.22/19.42  (assume a6922 (forall ((B2 tptp.nat) (A tptp.nat) (F tptp.fun_nat_fun_nat_nat) (Acc tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F A) B2) Acc) Acc)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F A) B2) Acc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) tptp.one_one_nat)) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat F A) Acc)))))))
% 19.22/19.42  (assume a6923 (forall ((X tptp.fun_nat_fun_nat_nat) (Xa tptp.nat) (Xb tptp.nat) (Xc tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X Xa) Xb) Xc) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb) Xa)) (= Y Xc)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xb) Xa))) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat X (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Xa) tptp.one_one_nat)) Xb) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat X Xa) Xc))))))))
% 19.22/19.42  (assume a6924 (forall ((R2 tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) tptp.imaginary_unit) (tptp.aa_real_complex (tptp.complex2 tptp.zero_zero_real) R2))))
% 19.22/19.42  (assume a6925 (forall ((R2 tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) (tptp.aa_real_complex (tptp.complex2 tptp.zero_zero_real) R2))))
% 19.22/19.42  (assume a6926 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_complex (tptp.complex2 A) B2) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex A)) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex B2))))))
% 19.22/19.42  (assume a6927 (forall ((Z tptp.complex)) (exists ((R3 tptp.real) (A4 tptp.real)) (= Z (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R3)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.cos_real A4))) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sin_real A4)))))))))
% 19.22/19.42  (assume a6928 (forall ((A tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.cos_real A))) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sin_real A))))) tptp.one_one_real)))
% 19.22/19.42  (assume a6929 (forall ((R2 tptp.real) (A tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.cos_real A))) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sin_real A)))))) (tptp.aa_real_real tptp.abs_abs_real R2))))
% 19.22/19.42  (assume a6930 (forall ((X tptp.real)) (=> (not (= X tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.arctan (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real X)) tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real tptp.arctan X))))))
% 19.22/19.42  (assume a6931 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 19.22/19.42  (assume a6932 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 19.22/19.42  (assume a6933 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 19.22/19.42  (assume a6934 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 19.22/19.42  (assume a6935 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.one_one_nat)))))
% 19.22/19.42  (assume a6936 (= (tptp.aa_complex_real tptp.arg (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.imaginary_unit)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6937 (= (tptp.aa_complex_complex tptp.csqrt tptp.imaginary_unit) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) tptp.imaginary_unit)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.42  (assume a6938 (= (tptp.aa_complex_real tptp.arg tptp.imaginary_unit) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.42  (assume a6939 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.imaginary_unit)))
% 19.22/19.42  (assume a6940 (forall ((L tptp.int) (K tptp.int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) K)) (=> (not (= L tptp.zero_zero_int)) (and (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L))))))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int L)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int L)) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K))))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))))))))))
% 19.22/19.42  (assume a6941 (forall ((K tptp.num)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))))
% 19.22/19.42  (assume a6942 (forall ((A tptp.real)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_real_complex tptp.cis A)) tptp.one_one_real)))
% 19.22/19.42  (assume a6943 (= (tptp.aa_int_nat tptp.nat2 tptp.one_one_int) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))
% 19.22/19.42  (assume a6944 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z))))))
% 19.22/19.42  (assume a6945 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 19.22/19.42  (assume a6946 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 19.22/19.42  (assume a6947 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 19.22/19.42  (assume a6948 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)))))
% 19.22/19.42  (assume a6949 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)))))
% 19.22/19.42  (assume a6950 (forall ((V tptp.num) (V2 tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) (tptp.aa_num_nat tptp.numeral_numeral_nat V2)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int V)) (tptp.aa_num_int tptp.numeral_numeral_int V2))))))
% 19.22/19.42  (assume a6951 (forall ((X tptp.num) (N tptp.nat) (Y tptp.int)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N) (tptp.aa_int_nat tptp.nat2 Y)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N) Y))))
% 19.22/19.42  (assume a6952 (forall ((Y tptp.int) (X tptp.num) (N tptp.nat)) (= (= (tptp.aa_int_nat tptp.nat2 Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (= Y (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)))))
% 19.22/19.42  (assume a6953 (forall ((Z tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z)))
% 19.22/19.42  (assume a6954 (forall ((X tptp.real) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim7802044766580827645g_real X))) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real A))))))
% 19.22/19.42  (assume a6955 (forall ((Z tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.one_one_int) Z)))))
% 19.22/19.42  (assume a6956 (forall ((V tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat V)) tptp.one_one_nat) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int V)) tptp.one_one_int)))))
% 19.22/19.42  (assume a6957 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (tptp.aa_int_nat tptp.nat2 A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.42  (assume a6958 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.42  (assume a6959 (forall ((X tptp.num) (N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N)) (tptp.aa_int_nat tptp.nat2 A))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N)) A)))))
% 19.22/19.42  (assume a6960 (forall ((A tptp.int) (X tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int X)) N))))))
% 19.22/19.42  (assume a6961 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.imaginary_unit))
% 19.22/19.42  (assume a6962 (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) tptp.one_one_complex))
% 19.22/19.42  (assume a6963 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex tptp.cis A)) (tptp.aa_real_complex tptp.cis B2)) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)))))
% 19.22/19.42  (assume a6964 (= tptp.zero_zero_nat (tptp.aa_int_nat tptp.nat2 tptp.zero_zero_int)))
% 19.22/19.42  (assume a6965 (forall ((X4 tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat X4) (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int X4)))))
% 19.22/19.42  (assume a6966 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 19.22/19.42  (assume a6967 (= tptp.one_one_nat (tptp.aa_int_nat tptp.nat2 tptp.one_one_int)))
% 19.22/19.42  (assume a6968 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se4205575877204974255it_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int M) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.42  (assume a6969 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)))))
% 19.22/19.42  (assume a6970 (forall ((N tptp.nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_nat_nat tptp.bit_se2002935070580805687sk_nat N))))
% 19.22/19.42  (assume a6971 (forall ((Z tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (and (= (tptp.aa_complex_complex tptp.sgn_sgn_complex Z) (tptp.aa_real_complex tptp.cis (tptp.aa_complex_real tptp.arg Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_complex_real tptp.arg Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.arg Z)) tptp.pi))))))
% 19.22/19.42  (assume a6972 (forall ((Z tptp.complex) (X tptp.real)) (=> (= (tptp.aa_complex_complex tptp.sgn_sgn_complex Z) (tptp.aa_real_complex tptp.cis X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.pi)) (= (tptp.aa_complex_real tptp.arg Z) X))))))
% 19.22/19.42  (assume a6973 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.cis A)) (tptp.aa_real_complex tptp.cis B2)) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)))))
% 19.22/19.42  (assume a6974 (forall ((Z tptp.int) (W tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Z)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z))))))
% 19.22/19.42  (assume a6975 (forall ((R2 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim7802044766580827645g_real R2)))))))
% 19.22/19.42  (assume a6976 (forall ((R2 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat R2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_int_nat tptp.nat2 (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat R2)))))))
% 19.22/19.42  (assume a6977 (forall ((M tptp.nat) (Z tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) Z)))))
% 19.22/19.42  (assume a6978 (forall ((X tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 X)) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.42  (assume a6979 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2))))
% 19.22/19.42  (assume a6980 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))))
% 19.22/19.42  (assume a6981 (forall ((W tptp.int) (Z tptp.int)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int W) Z))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int W))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int Z))))))
% 19.22/19.42  (assume a6982 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.42  (assume a6983 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim7802044766580827645g_real X)))))))
% 19.22/19.42  (assume a6984 (forall ((R2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) R2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real R2)))) R2)))))
% 19.22/19.42  (assume a6985 (forall ((R2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) R2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_int_nat tptp.nat2 (tptp.aa_rat_int tptp.archim3151403230148437115or_rat R2)))) R2)))))
% 19.22/19.42  (assume a6986 (forall ((W tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) Z))))))
% 19.22/19.42  (assume a6987 (forall ((W tptp.int) (Z tptp.int)) (=> (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) W)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 W)) (tptp.aa_int_nat tptp.nat2 Z))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int W) Z))))))
% 19.22/19.42  (assume a6988 (forall ((P tptp.fun_nat_bool) (I tptp.int)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_int_nat tptp.nat2 I))) (and (forall ((N5 tptp.nat)) (=> (= I (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N5)) (tptp.pp (tptp.aa_nat_bool P N5)))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int I) tptp.zero_zero_int)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)))))))
% 19.22/19.42  (assume a6989 (forall ((A tptp.real) (B2 tptp.real)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real A))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real B2)))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))
% 19.22/19.42  (assume a6990 (forall ((A tptp.rat) (B2 tptp.rat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_rat_int tptp.archim3151403230148437115or_rat A))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_rat_int tptp.archim3151403230148437115or_rat B2)))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))
% 19.22/19.42  (assume a6991 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_int_nat tptp.nat2 K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) K))))))
% 19.22/19.42  (assume a6992 (forall ((Z tptp.int) (Z4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z4)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Z) Z4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 Z4)))))))
% 19.22/19.42  (assume a6993 (forall ((Z tptp.int) (Z4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) Z4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 Z4))))))
% 19.22/19.42  (assume a6994 (forall ((X4 tptp.nat)) (= (tptp.aa_nat_nat tptp.suc X4) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) tptp.one_one_int)))))
% 19.22/19.42  (assume a6995 (forall ((Z4 tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z4) Z)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z) Z4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 Z4)))))))
% 19.22/19.42  (assume a6996 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y)))))))
% 19.22/19.42  (assume a6997 (forall ((K tptp.int) (L tptp.int)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int K) L)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))))
% 19.22/19.42  (assume a6998 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 19.22/19.42  (assume a6999 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y))))))
% 19.22/19.42  (assume a7000 (forall ((Z tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_nat_int (tptp.power_power_int Z) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_int_nat tptp.nat2 Z)) N)))))
% 19.22/19.42  (assume a7001 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) tptp.zero_zero_nat))))
% 19.22/19.42  (assume a7002 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_int_nat tptp.nat2 X)) (tptp.aa_int_nat tptp.nat2 Y)))))))
% 19.22/19.42  (assume a7003 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))))
% 19.22/19.42  (assume a7004 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) N)))))
% 19.22/19.42  (assume a7005 (forall ((X tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X)) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real A)))))))
% 19.22/19.42  (assume a7006 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))))
% 19.22/19.42  (assume a7007 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_int_nat tptp.nat2 K))))))
% 19.22/19.42  (assume a7008 (forall ((K tptp.int) (N tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_int_nat tptp.nat2 K)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K))))))
% 19.22/19.42  (assume a7009 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_int_nat tptp.nat2 K)) N)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 19.22/19.42  (assume a7010 (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 19.22/19.42  (assume a7011 (forall ((Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Z)) (= (tptp.aa_nat_nat tptp.suc (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) Z))))))
% 19.22/19.42  (assume a7012 (forall ((W tptp.int) (M tptp.nat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) W)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_int_nat tptp.nat2 W)) M)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int W) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)))))))
% 19.22/19.42  (assume a7013 (forall ((Z tptp.int) (Z4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) tptp.zero_zero_int)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) Z4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int Z))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int Z4)))))))
% 19.22/19.42  (assume a7014 (forall ((A tptp.nat) (B2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat B2) A))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2))))))
% 19.22/19.42  (assume a7015 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N)))) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) N)))))
% 19.22/19.42  (assume a7016 (forall ((B2 tptp.real)) (= (tptp.aa_real_complex tptp.cis B2) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex B2))))))
% 19.22/19.42  (assume a7017 (forall ((K tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.ring_18347121197199848620nteger K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.semiri4939895301339042750nteger (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int K)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.ring_18347121197199848620nteger K) (tptp.semiri4939895301339042750nteger (tptp.aa_int_nat tptp.nat2 K)))))))
% 19.22/19.42  (assume a7018 (forall ((K tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int K)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_int_nat tptp.nat2 K)))))))
% 19.22/19.42  (assume a7019 (forall ((K tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real K) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int K)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_real tptp.ring_1_of_int_real K) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_int_nat tptp.nat2 K)))))))
% 19.22/19.42  (assume a7020 (forall ((K tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int K)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_int_nat tptp.nat2 K)))))))
% 19.22/19.42  (assume a7021 (forall ((K tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int K)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.ring_1_of_int_int K) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_int_nat tptp.nat2 K)))))))
% 19.22/19.42  (assume a7022 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt X)) (tptp.aa_complex_complex tptp.csqrt (tptp.aa_real_complex tptp.real_V4546457046886955230omplex X))))))
% 19.22/19.42  (assume a7023 (forall ((Z tptp.complex)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) (tptp.aa_complex_real tptp.arg Z))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.arg Z)) tptp.pi)))))
% 19.22/19.42  (assume a7024 (forall ((K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_nat tptp.nat2 K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))))))
% 19.22/19.42  (assume a7025 (forall ((X tptp.real) (I tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real I)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 I)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) I))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real I)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int I))))))))))
% 19.22/19.42  (assume a7026 (forall ((L tptp.int) (K tptp.int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) tptp.zero_zero_int)) (=> (not (= L tptp.zero_zero_int)) (and (=> (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))))) (=> (not (= (tptp.aa_int_int tptp.sgn_sgn_int K) (tptp.aa_int_int tptp.sgn_sgn_int L))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int L)))) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int L) K)))))))))))))
% 19.22/19.42  (assume a7027 (forall ((N tptp.real)) (=> (tptp.member_real N tptp.ring_1_Ints_real) (= (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.one_one_complex))))
% 19.22/19.42  (assume a7028 (forall ((X tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 N)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) N))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.uminus_uminus_int N))))))))))
% 19.22/19.42  (assume a7029 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.22/19.42  (assume a7030 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.22/19.42  (assume a7031 (forall ((K tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a7032 (forall ((K tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a7033 (forall ((K tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)))))))
% 19.22/19.42  (assume a7034 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.inverse_inverse_real A)) A)))
% 19.22/19.42  (assume a7035 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) A)))
% 19.22/19.42  (assume a7036 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) A)))
% 19.22/19.42  (assume a7037 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.aa_real_real tptp.inverse_inverse_real A) (tptp.aa_real_real tptp.inverse_inverse_real B2)) (= A B2))))
% 19.22/19.42  (assume a7038 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (= A B2))))
% 19.22/19.42  (assume a7039 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (= A B2))))
% 19.22/19.42  (assume a7040 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) Y)) Y)))
% 19.22/19.42  (assume a7041 (forall ((A tptp.real)) (= (= (tptp.aa_real_real tptp.inverse_inverse_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.42  (assume a7042 (forall ((A tptp.complex)) (= (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 19.22/19.42  (assume a7043 (forall ((A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.42  (assume a7044 (= (tptp.aa_real_real tptp.inverse_inverse_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.22/19.42  (assume a7045 (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.22/19.42  (assume a7046 (= (tptp.aa_rat_rat tptp.inverse_inverse_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.22/19.42  (assume a7047 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2)))))
% 19.22/19.42  (assume a7048 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)))))
% 19.22/19.42  (assume a7049 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)))))
% 19.22/19.42  (assume a7050 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.inverse_inverse_real X) tptp.one_one_real) (= X tptp.one_one_real))))
% 19.22/19.42  (assume a7051 (forall ((X tptp.complex)) (= (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X) tptp.one_one_complex) (= X tptp.one_one_complex))))
% 19.22/19.42  (assume a7052 (forall ((X tptp.rat)) (= (= (tptp.aa_rat_rat tptp.inverse_inverse_rat X) tptp.one_one_rat) (= X tptp.one_one_rat))))
% 19.22/19.42  (assume a7053 (= (tptp.aa_real_real tptp.inverse_inverse_real tptp.one_one_real) tptp.one_one_real))
% 19.22/19.42  (assume a7054 (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex tptp.one_one_complex) tptp.one_one_complex))
% 19.22/19.42  (assume a7055 (= (tptp.aa_rat_rat tptp.inverse_inverse_rat tptp.one_one_rat) tptp.one_one_rat))
% 19.22/19.42  (assume a7056 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real B2) A))))
% 19.22/19.42  (assume a7057 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex B2) A))))
% 19.22/19.42  (assume a7058 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2)) (tptp.aa_rat_rat (tptp.divide_divide_rat B2) A))))
% 19.22/19.42  (assume a7059 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real A)))))
% 19.22/19.42  (assume a7060 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)))))
% 19.22/19.42  (assume a7061 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))
% 19.22/19.42  (assume a7062 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) tptp.zero_zero_nat) A)))
% 19.22/19.42  (assume a7063 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) tptp.zero_zero_int) A)))
% 19.22/19.42  (assume a7064 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat tptp.zero_zero_nat) A) A)))
% 19.22/19.42  (assume a7065 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int tptp.zero_zero_int) A) A)))
% 19.22/19.42  (assume a7066 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) A) tptp.zero_zero_nat)))
% 19.22/19.42  (assume a7067 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) A) tptp.zero_zero_int)))
% 19.22/19.42  (assume a7068 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) X) tptp.zero_zero_int)))
% 19.22/19.42  (assume a7069 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.abs_abs_real A)))))
% 19.22/19.42  (assume a7070 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.abs_abs_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.abs_abs_complex A)))))
% 19.22/19.42  (assume a7071 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.abs_abs_rat A)))))
% 19.22/19.42  (assume a7072 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sgn_sgn_real A)) (tptp.aa_real_real tptp.sgn_sgn_real A))))
% 19.22/19.42  (assume a7073 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)) (tptp.aa_rat_rat tptp.sgn_sgn_rat A))))
% 19.22/19.42  (assume a7074 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sgn_sgn_real A)))))
% 19.22/19.42  (assume a7075 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.sgn_sgn_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.sgn_sgn_complex A)))))
% 19.22/19.42  (assume a7076 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.sgn_sgn_rat A)))))
% 19.22/19.42  (assume a7077 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) B2)) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B2)))))
% 19.22/19.42  (assume a7078 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) B2)))))
% 19.22/19.42  (assume a7079 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a7080 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a7081 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)))))
% 19.22/19.42  (assume a7082 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)))))
% 19.22/19.42  (assume a7083 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)))))
% 19.22/19.42  (assume a7084 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat A))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)))))
% 19.22/19.42  (assume a7085 (forall ((A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a7086 (forall ((A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a7087 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))))
% 19.22/19.42  (assume a7088 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))))
% 19.22/19.42  (assume a7089 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)))))))
% 19.22/19.42  (assume a7090 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)))))))
% 19.22/19.42  (assume a7091 (forall ((K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real tptp.zero_zero_real) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_real)))
% 19.22/19.42  (assume a7092 (forall ((K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat tptp.zero_zero_rat) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_rat)))
% 19.22/19.42  (assume a7093 (forall ((K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gbinomial_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_nat)))
% 19.22/19.42  (assume a7094 (forall ((K tptp.nat)) (= (tptp.aa_nat_int (tptp.gbinomial_int tptp.zero_zero_int) (tptp.aa_nat_nat tptp.suc K)) tptp.zero_zero_int)))
% 19.22/19.42  (assume a7095 (forall ((A tptp.complex)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) tptp.zero_zero_nat) tptp.one_one_complex)))
% 19.22/19.42  (assume a7096 (forall ((A tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) tptp.zero_zero_nat) tptp.one_one_real)))
% 19.22/19.42  (assume a7097 (forall ((A tptp.rat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) tptp.zero_zero_nat) tptp.one_one_rat)))
% 19.22/19.42  (assume a7098 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gbinomial_nat A) tptp.zero_zero_nat) tptp.one_one_nat)))
% 19.22/19.42  (assume a7099 (forall ((A tptp.int)) (= (tptp.aa_nat_int (tptp.gbinomial_int A) tptp.zero_zero_nat) tptp.one_one_int)))
% 19.22/19.42  (assume a7100 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))))
% 19.22/19.42  (assume a7101 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))))
% 19.22/19.42  (assume a7102 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))))
% 19.22/19.42  (assume a7103 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))))
% 19.22/19.42  (assume a7104 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.one_one_real))))
% 19.22/19.42  (assume a7105 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) tptp.one_one_complex))))
% 19.22/19.42  (assume a7106 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) tptp.one_one_rat))))
% 19.22/19.42  (assume a7107 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) A) tptp.one_one_real))))
% 19.22/19.42  (assume a7108 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) A) tptp.one_one_complex))))
% 19.22/19.42  (assume a7109 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) A) tptp.one_one_rat))))
% 19.22/19.42  (assume a7110 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_num_real tptp.numeral_numeral_real W)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.42  (assume a7111 (forall ((W tptp.num)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.numera6690914467698888265omplex W)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex W)))))
% 19.22/19.42  (assume a7112 (forall ((W tptp.num)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W)) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat W)))))
% 19.22/19.42  (assume a7113 (forall ((X tptp.real) (Y tptp.real)) (=> (or (tptp.member_real X tptp.ring_1_Ints_real) (tptp.member_real Y tptp.ring_1_Ints_real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_real_int tptp.archim6058952711729229775r_real X)) (tptp.aa_real_int tptp.archim6058952711729229775r_real Y))))))
% 19.22/19.42  (assume a7114 (forall ((X tptp.rat) (Y tptp.rat)) (=> (or (tptp.member_rat X tptp.ring_1_Ints_rat) (tptp.member_rat Y tptp.ring_1_Ints_rat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat Y))))))
% 19.22/19.42  (assume a7115 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.archim2898591450579166408c_real X))) (not (tptp.member_real X tptp.ring_1_Ints_real)))))
% 19.22/19.42  (assume a7116 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.archimedean_frac_rat X))) (not (tptp.member_rat X tptp.ring_1_Ints_rat)))))
% 19.22/19.42  (assume a7117 (forall ((W tptp.num)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_num_real tptp.numeral_numeral_real W))))))
% 19.22/19.42  (assume a7118 (forall ((W tptp.num)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.numera6690914467698888265omplex W))))))
% 19.22/19.42  (assume a7119 (forall ((W tptp.num)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat W))))))
% 19.22/19.42  (assume a7120 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 19.22/19.42  (assume a7121 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 19.22/19.42  (assume a7122 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 19.22/19.42  (assume a7123 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y)))))
% 19.22/19.42  (assume a7124 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y)))))
% 19.22/19.42  (assume a7125 (forall ((Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y)))))
% 19.22/19.42  (assume a7126 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 19.22/19.42  (assume a7127 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X)))))
% 19.22/19.42  (assume a7128 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X)))))
% 19.22/19.42  (assume a7129 (forall ((X tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X)))))
% 19.22/19.42  (assume a7130 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y))))))
% 19.22/19.42  (assume a7131 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y))))))
% 19.22/19.42  (assume a7132 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 19.22/19.42  (assume a7133 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y)))))
% 19.22/19.42  (assume a7134 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 19.22/19.42  (assume a7135 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X)))))
% 19.22/19.42  (assume a7136 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 19.22/19.42  (assume a7137 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 19.22/19.42  (assume a7138 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat X)) (tptp.aa_num_nat tptp.numeral_numeral_nat Y)))))))
% 19.22/19.42  (assume a7139 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int tptp.numeral_numeral_int X)) (tptp.aa_num_int tptp.numeral_numeral_int Y)))))))
% 19.22/19.42  (assume a7140 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real A)) N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N)))))
% 19.22/19.42  (assume a7141 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) N) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_nat_complex (tptp.power_power_complex A) N)))))
% 19.22/19.42  (assume a7142 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) N) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat (tptp.power_power_rat A) N)))))
% 19.22/19.42  (assume a7143 (forall ((Y tptp.real) (X tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Y) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real Y)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real Y))))))
% 19.22/19.42  (assume a7144 (forall ((Y tptp.complex) (X tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex Y) X) (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex Y)) X) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex Y))))))
% 19.22/19.42  (assume a7145 (forall ((Y tptp.rat) (X tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Y) X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat Y)) X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) (tptp.aa_rat_rat tptp.inverse_inverse_rat Y))))))
% 19.22/19.42  (assume a7146 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.42  (assume a7147 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N)) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.42  (assume a7148 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L)) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int tptp.ring_1_of_int_int K)) (tptp.aa_int_int tptp.ring_1_of_int_int L)))))
% 19.22/19.42  (assume a7149 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat B2) C)))))
% 19.22/19.42  (assume a7150 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int B2) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) C)) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int B2) C)))))
% 19.22/19.42  (assume a7151 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) B2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat B2) A))))
% 19.22/19.42  (assume a7152 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) B2) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int B2) A))))
% 19.22/19.42  (assume a7153 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) B2)) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat B2) C)))))
% 19.22/19.42  (assume a7154 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) B2)) C) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int B2) C)))))
% 19.22/19.42  (assume a7155 (forall ((A tptp.real) (B2 tptp.real)) (=> (= (tptp.aa_real_real tptp.inverse_inverse_real A) (tptp.aa_real_real tptp.inverse_inverse_real B2)) (= A B2))))
% 19.22/19.42  (assume a7156 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (= A B2))))
% 19.22/19.42  (assume a7157 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (= A B2))))
% 19.22/19.42  (assume a7158 (= (tptp.aa_real_real tptp.inverse_inverse_real tptp.zero_zero_real) tptp.zero_zero_real))
% 19.22/19.42  (assume a7159 (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex tptp.zero_zero_complex) tptp.zero_zero_complex))
% 19.22/19.42  (assume a7160 (= (tptp.aa_rat_rat tptp.inverse_inverse_rat tptp.zero_zero_rat) tptp.zero_zero_rat))
% 19.22/19.42  (assume a7161 (forall ((A tptp.real)) (=> (= (tptp.aa_real_real tptp.inverse_inverse_real A) tptp.zero_zero_real) (= A tptp.zero_zero_real))))
% 19.22/19.42  (assume a7162 (forall ((A tptp.complex)) (=> (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex))))
% 19.22/19.42  (assume a7163 (forall ((A tptp.rat)) (=> (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat))))
% 19.22/19.42  (assume a7164 (forall ((A tptp.real) (B2 tptp.real)) (=> (= (tptp.aa_real_real tptp.inverse_inverse_real A) (tptp.aa_real_real tptp.inverse_inverse_real B2)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B2 tptp.zero_zero_real)) (= A B2))))))
% 19.22/19.42  (assume a7165 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= A B2))))))
% 19.22/19.42  (assume a7166 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= A B2))))))
% 19.22/19.42  (assume a7167 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.inverse_inverse_real A)) A))))
% 19.22/19.42  (assume a7168 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) A))))
% 19.22/19.42  (assume a7169 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) A))))
% 19.22/19.42  (assume a7170 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (not (= (tptp.aa_real_real tptp.inverse_inverse_real A) tptp.zero_zero_real)))))
% 19.22/19.42  (assume a7171 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (not (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) tptp.zero_zero_complex)))))
% 19.22/19.42  (assume a7172 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (not (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) tptp.zero_zero_rat)))))
% 19.22/19.42  (assume a7173 (forall ((N tptp.num)) (tptp.member_complex (tptp.numera6690914467698888265omplex N) tptp.ring_1_Ints_complex)))
% 19.22/19.42  (assume a7174 (forall ((N tptp.num)) (tptp.member_real (tptp.aa_num_real tptp.numeral_numeral_real N) tptp.ring_1_Ints_real)))
% 19.22/19.42  (assume a7175 (forall ((N tptp.num)) (tptp.member_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N) tptp.ring_1_Ints_rat)))
% 19.22/19.42  (assume a7176 (forall ((N tptp.num)) (tptp.member_int (tptp.aa_num_int tptp.numeral_numeral_int N) tptp.ring_1_Ints_int)))
% 19.22/19.42  (assume a7177 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (tptp.member_complex A tptp.ring_1_Ints_complex) (=> (tptp.member_complex B2 tptp.ring_1_Ints_complex) (tptp.member_complex (tptp.aa_complex_complex (tptp.times_times_complex A) B2) tptp.ring_1_Ints_complex)))))
% 19.22/19.42  (assume a7178 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (=> (tptp.member_real B2 tptp.ring_1_Ints_real) (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2) tptp.ring_1_Ints_real)))))
% 19.22/19.42  (assume a7179 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (=> (tptp.member_rat B2 tptp.ring_1_Ints_rat) (tptp.member_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2) tptp.ring_1_Ints_rat)))))
% 19.22/19.43  (assume a7180 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.member_int A tptp.ring_1_Ints_int) (=> (tptp.member_int B2 tptp.ring_1_Ints_int) (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2) tptp.ring_1_Ints_int)))))
% 19.22/19.43  (assume a7181 (tptp.member_complex tptp.one_one_complex tptp.ring_1_Ints_complex))
% 19.22/19.43  (assume a7182 (tptp.member_rat tptp.one_one_rat tptp.ring_1_Ints_rat))
% 19.22/19.43  (assume a7183 (tptp.member_int tptp.one_one_int tptp.ring_1_Ints_int))
% 19.22/19.43  (assume a7184 (tptp.member_real tptp.one_one_real tptp.ring_1_Ints_real))
% 19.22/19.43  (assume a7185 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (tptp.member_complex A tptp.ring_1_Ints_complex) (=> (tptp.member_complex B2 tptp.ring_1_Ints_complex) (tptp.member_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2) tptp.ring_1_Ints_complex)))))
% 19.22/19.43  (assume a7186 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (=> (tptp.member_real B2 tptp.ring_1_Ints_real) (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2) tptp.ring_1_Ints_real)))))
% 19.22/19.43  (assume a7187 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (=> (tptp.member_rat B2 tptp.ring_1_Ints_rat) (tptp.member_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2) tptp.ring_1_Ints_rat)))))
% 19.22/19.43  (assume a7188 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.member_int A tptp.ring_1_Ints_int) (=> (tptp.member_int B2 tptp.ring_1_Ints_int) (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2) tptp.ring_1_Ints_int)))))
% 19.22/19.43  (assume a7189 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X)))))
% 19.22/19.43  (assume a7190 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (tptp.member_complex A tptp.ring_1_Ints_complex) (=> (tptp.member_complex B2 tptp.ring_1_Ints_complex) (tptp.member_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2) tptp.ring_1_Ints_complex)))))
% 19.22/19.43  (assume a7191 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (=> (tptp.member_real B2 tptp.ring_1_Ints_real) (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2) tptp.ring_1_Ints_real)))))
% 19.22/19.43  (assume a7192 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (=> (tptp.member_rat B2 tptp.ring_1_Ints_rat) (tptp.member_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2) tptp.ring_1_Ints_rat)))))
% 19.22/19.43  (assume a7193 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.member_int A tptp.ring_1_Ints_int) (=> (tptp.member_int B2 tptp.ring_1_Ints_int) (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) tptp.ring_1_Ints_int)))))
% 19.22/19.43  (assume a7194 (forall ((A tptp.real) (N tptp.nat)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (tptp.member_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) N) tptp.ring_1_Ints_real))))
% 19.22/19.43  (assume a7195 (forall ((A tptp.int) (N tptp.nat)) (=> (tptp.member_int A tptp.ring_1_Ints_int) (tptp.member_int (tptp.aa_nat_int (tptp.power_power_int A) N) tptp.ring_1_Ints_int))))
% 19.22/19.43  (assume a7196 (forall ((A tptp.complex) (N tptp.nat)) (=> (tptp.member_complex A tptp.ring_1_Ints_complex) (tptp.member_complex (tptp.aa_nat_complex (tptp.power_power_complex A) N) tptp.ring_1_Ints_complex))))
% 19.22/19.43  (assume a7197 (forall ((Y tptp.int) (Z tptp.int) (X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int Y) Z)) X) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Y) X)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int Z) X)))))
% 19.22/19.43  (assume a7198 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int Y) Z)) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Z)))))
% 19.22/19.43  (assume a7199 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) B2)) N)) (not (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat B2) N)))))))
% 19.22/19.43  (assume a7200 (forall ((A tptp.int) (B2 tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) B2)) N)) (not (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B2) N)))))))
% 19.22/19.43  (assume a7201 (forall ((R2 tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R2) (tptp.aa_real_real tptp.real_V7735802525324610683m_real X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real tptp.inverse_inverse_real X))) (tptp.aa_real_real tptp.inverse_inverse_real R2)))))))
% 19.22/19.43  (assume a7202 (forall ((R2 tptp.real) (X tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real R2) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X))) (tptp.aa_real_real tptp.inverse_inverse_real R2)))))))
% 19.22/19.43  (assume a7203 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))))))
% 19.22/19.43  (assume a7204 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat A))))))
% 19.22/19.43  (assume a7205 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)))))
% 19.22/19.43  (assume a7206 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) tptp.zero_zero_rat)))))
% 19.22/19.43  (assume a7207 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real A))) (=> (not (= A tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A))))))
% 19.22/19.43  (assume a7208 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat A))) (=> (not (= A tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A))))))
% 19.22/19.43  (assume a7209 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) tptp.zero_zero_real)) (=> (not (= A tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 19.22/19.43  (assume a7210 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) tptp.zero_zero_rat)) (=> (not (= A tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))))))
% 19.22/19.43  (assume a7211 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 19.22/19.43  (assume a7212 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))))
% 19.22/19.43  (assume a7213 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))))))
% 19.22/19.43  (assume a7214 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))))))
% 19.22/19.43  (assume a7215 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 19.22/19.43  (assume a7216 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))))
% 19.22/19.43  (assume a7217 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))))))
% 19.22/19.43  (assume a7218 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))))))
% 19.22/19.43  (assume a7219 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 19.22/19.43  (assume a7220 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex (tptp.times_times_complex A) B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)))))))
% 19.22/19.43  (assume a7221 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))))
% 19.22/19.43  (assume a7222 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.uminus_uminus_real A)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real A))))))
% 19.22/19.43  (assume a7223 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A))))))
% 19.22/19.43  (assume a7224 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A))))))
% 19.22/19.43  (assume a7225 (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)) (tptp.aa_num_real tptp.numeral_numeral_real tptp.one)))
% 19.22/19.43  (assume a7226 (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.numera6690914467698888265omplex tptp.one)) (tptp.numera6690914467698888265omplex tptp.one)))
% 19.22/19.43  (assume a7227 (= (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)) (tptp.aa_num_rat tptp.numeral_numeral_rat tptp.one)))
% 19.22/19.43  (assume a7228 (forall ((A tptp.real) (B2 tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2) tptp.one_one_real) (= (tptp.aa_real_real tptp.inverse_inverse_real A) B2))))
% 19.22/19.43  (assume a7229 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (= (tptp.aa_complex_complex (tptp.times_times_complex A) B2) tptp.one_one_complex) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) B2))))
% 19.22/19.43  (assume a7230 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2) tptp.one_one_rat) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) B2))))
% 19.22/19.43  (assume a7231 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real B2)) A))))
% 19.22/19.43  (assume a7232 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) A))))
% 19.22/19.43  (assume a7233 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) A))))
% 19.22/19.43  (assume a7234 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.inverse_inverse_real B2)))))
% 19.22/19.43  (assume a7235 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)))))
% 19.22/19.43  (assume a7236 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)))))
% 19.22/19.43  (assume a7237 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_real_real tptp.inverse_inverse_real B2)))))
% 19.22/19.43  (assume a7238 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)))))
% 19.22/19.43  (assume a7239 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat A) B2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)))))
% 19.22/19.43  (assume a7240 (forall ((A tptp.real)) (= (tptp.aa_real_real tptp.inverse_inverse_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A))))
% 19.22/19.43  (assume a7241 (forall ((A tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A))))
% 19.22/19.43  (assume a7242 (forall ((A tptp.rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A))))
% 19.22/19.43  (assume a7243 (forall ((X tptp.real) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real X)) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real X)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)))))
% 19.22/19.43  (assume a7244 (forall ((X tptp.complex) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) M)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) N)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) N)) (tptp.aa_nat_complex (tptp.power_power_complex X) M)))))
% 19.22/19.43  (assume a7245 (forall ((X tptp.rat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X) M)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat X)) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat X)) N)) (tptp.aa_nat_rat (tptp.power_power_rat X) M)))))
% 19.22/19.43  (assume a7246 (forall ((X tptp.real) (M tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)) (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) M)))))
% 19.22/19.43  (assume a7247 (forall ((X tptp.complex) (M tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) M)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_nat_complex (tptp.power_power_complex X) M)))))
% 19.22/19.43  (assume a7248 (forall ((X tptp.rat) (M tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X) M)) (tptp.aa_rat_rat tptp.inverse_inverse_rat X)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat X)) (tptp.aa_nat_rat (tptp.power_power_rat X) M)))))
% 19.22/19.43  (assume a7249 (forall ((Xa tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Xa))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Xa))))))
% 19.22/19.43  (assume a7250 (forall ((Xa tptp.nat) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Xa))) X) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Xa))))))
% 19.22/19.43  (assume a7251 (forall ((Xa tptp.nat) (X tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Xa))) X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Xa))))))
% 19.22/19.43  (assume a7252 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.abs_abs_real A))))))
% 19.22/19.43  (assume a7253 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_rat_rat tptp.abs_abs_rat A))))))
% 19.22/19.43  (assume a7254 (forall ((Xa tptp.int) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_int_real tptp.ring_1_of_int_real Xa))) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_int_real tptp.ring_1_of_int_real Xa))))))
% 19.22/19.43  (assume a7255 (forall ((Xa tptp.int) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Xa))) X) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex Xa))))))
% 19.22/19.43  (assume a7256 (forall ((Xa tptp.int) (X tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Xa))) X) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Xa))))))
% 19.22/19.43  (assume a7257 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) (tptp.aa_real_real tptp.inverse_inverse_real Y)))))
% 19.22/19.43  (assume a7258 (forall ((A tptp.complex)) (=> (tptp.member_complex A tptp.ring_1_Ints_complex) (= (= (tptp.aa_complex_complex (tptp.plus_plus_complex A) A) tptp.zero_zero_complex) (= A tptp.zero_zero_complex)))))
% 19.22/19.43  (assume a7259 (forall ((A tptp.real)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (= (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) A) tptp.zero_zero_real) (= A tptp.zero_zero_real)))))
% 19.22/19.43  (assume a7260 (forall ((A tptp.rat)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (= (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) A) tptp.zero_zero_rat) (= A tptp.zero_zero_rat)))))
% 19.22/19.43  (assume a7261 (forall ((A tptp.int)) (=> (tptp.member_int A tptp.ring_1_Ints_int) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) A) tptp.zero_zero_int) (= A tptp.zero_zero_int)))))
% 19.22/19.43  (assume a7262 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A))))))
% 19.22/19.43  (assume a7263 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))))))
% 19.22/19.43  (assume a7264 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 19.22/19.43  (assume a7265 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))))
% 19.22/19.43  (assume a7266 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A))))))
% 19.22/19.43  (assume a7267 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))))))
% 19.22/19.43  (assume a7268 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 19.22/19.43  (assume a7269 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))))
% 19.22/19.43  (assume a7270 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real X)) tptp.one_one_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X))))))
% 19.22/19.43  (assume a7271 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat X)) tptp.one_one_rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) X))))))
% 19.22/19.43  (assume a7272 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real X))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 19.22/19.43  (assume a7273 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat X))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) tptp.one_one_rat))))))
% 19.22/19.43  (assume a7274 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 19.22/19.43  (assume a7275 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))))
% 19.22/19.43  (assume a7276 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) A) tptp.one_one_real))))
% 19.22/19.43  (assume a7277 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) A) tptp.one_one_complex))))
% 19.22/19.43  (assume a7278 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) A) tptp.one_one_rat))))
% 19.22/19.43  (assume a7279 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2))) (tptp.aa_real_real tptp.inverse_inverse_real B2)))))))
% 19.22/19.43  (assume a7280 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)))))))
% 19.22/19.43  (assume a7281 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2))) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)))))))
% 19.22/19.43  (assume a7282 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_real_real tptp.inverse_inverse_real A))) (tptp.aa_real_real tptp.inverse_inverse_real B2)))))))
% 19.22/19.43  (assume a7283 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) B2)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)))))))
% 19.22/19.43  (assume a7284 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) B2)) (tptp.aa_rat_rat tptp.inverse_inverse_rat A))) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)))))))
% 19.22/19.43  (assume a7285 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A))) (tptp.aa_real_real tptp.inverse_inverse_real B2)))))))
% 19.22/19.43  (assume a7286 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex (tptp.minus_minus_complex B2) A))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)))))))
% 19.22/19.43  (assume a7287 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat (tptp.minus_minus_rat B2) A))) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)))))))
% 19.22/19.43  (assume a7288 (forall ((A tptp.real)) (=> (not (= A tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.inverse_inverse_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) A)))))
% 19.22/19.43  (assume a7289 (forall ((A tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) A)))))
% 19.22/19.43  (assume a7290 (forall ((A tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.inverse_inverse_rat A) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) A)))))
% 19.22/19.43  (assume a7291 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a7292 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a7293 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a7294 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) K) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.43  (assume a7295 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) K) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.43  (assume a7296 (forall ((K tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) K) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) K))))))
% 19.22/19.43  (assume a7297 (forall ((Y tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real tptp.inverse_inverse_real Y)) A) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Y) A))))))
% 19.22/19.43  (assume a7298 (forall ((A tptp.complex)) (=> (tptp.member_complex A tptp.ring_1_Ints_complex) (not (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) A)) A) tptp.zero_zero_complex)))))
% 19.22/19.43  (assume a7299 (forall ((A tptp.real)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) A)) A) tptp.zero_zero_real)))))
% 19.22/19.43  (assume a7300 (forall ((A tptp.rat)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (not (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) A)) A) tptp.zero_zero_rat)))))
% 19.22/19.43  (assume a7301 (forall ((A tptp.int)) (=> (tptp.member_int A tptp.ring_1_Ints_int) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) A) tptp.zero_zero_int)))))
% 19.22/19.43  (assume a7302 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (tptp.member_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex A)) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex B2)) tptp.ring_1_Ints_complex))))
% 19.22/19.43  (assume a7303 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real A)) (tptp.aa_int_real tptp.ring_1_of_int_real B2)) tptp.ring_1_Ints_real))))
% 19.22/19.43  (assume a7304 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (tptp.member_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat A)) (tptp.aa_int_rat tptp.ring_1_of_int_rat B2)) tptp.ring_1_Ints_rat))))
% 19.22/19.43  (assume a7305 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)) (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.ring_1_of_int_int A)) (tptp.aa_int_int tptp.ring_1_of_int_int B2)) tptp.ring_1_Ints_int))))
% 19.22/19.43  (assume a7306 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))))
% 19.22/19.43  (assume a7307 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))))
% 19.22/19.43  (assume a7308 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2))) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)))))))
% 19.22/19.43  (assume a7309 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)))))))
% 19.22/19.43  (assume a7310 (forall ((A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real A)))))))
% 19.22/19.43  (assume a7311 (forall ((A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) tptp.one_one_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat A)))))))
% 19.22/19.43  (assume a7312 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real X)) tptp.one_one_real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X))))))
% 19.22/19.43  (assume a7313 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat X)) tptp.one_one_rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) X))))))
% 19.22/19.43  (assume a7314 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.inverse_inverse_real X))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real))))))
% 19.22/19.43  (assume a7315 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.inverse_inverse_rat X))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) tptp.one_one_rat))))))
% 19.22/19.43  (assume a7316 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A tptp.zero_zero_real)) (=> (not (= B2 tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real tptp.inverse_inverse_real B2)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2))) (tptp.aa_real_real tptp.inverse_inverse_real B2))))))))
% 19.22/19.43  (assume a7317 (forall ((A tptp.complex) (B2 tptp.complex)) (=> (not (= A tptp.zero_zero_complex)) (=> (not (= B2 tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex A)) (tptp.aa_complex_complex (tptp.minus_minus_complex A) B2))) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex B2))))))))
% 19.22/19.43  (assume a7318 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A tptp.zero_zero_rat)) (=> (not (= B2 tptp.zero_zero_rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2)) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat A)) (tptp.aa_rat_rat (tptp.minus_minus_rat A) B2))) (tptp.aa_rat_rat tptp.inverse_inverse_rat B2))))))))
% 19.22/19.43  (assume a7319 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N3)))) X))))))
% 19.22/19.43  (assume a7320 (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc N3)))) X))))))
% 19.22/19.43  (assume a7321 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 19.22/19.43  (assume a7322 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 19.22/19.43  (assume a7323 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.one_one_rat)) K)))))
% 19.22/19.43  (assume a7324 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 19.22/19.43  (assume a7325 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 19.22/19.43  (assume a7326 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.one_one_rat)) K)))))
% 19.22/19.43  (assume a7327 (forall ((K tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K))))))
% 19.22/19.43  (assume a7328 (forall ((K tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K)) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat (tptp.divide_divide_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) K)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K))))))
% 19.22/19.43  (assume a7329 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) A) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7330 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7331 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) A) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7332 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7333 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7334 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7335 (forall ((P tptp.fun_real_bool) (E tptp.real)) (=> (forall ((D2 tptp.real) (E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D2) E2)) (=> (tptp.pp (tptp.aa_real_bool P D2)) (tptp.pp (tptp.aa_real_bool P E2))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc N3)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (tptp.pp (tptp.aa_real_bool P E)))))))
% 19.22/19.43  (assume a7336 (forall ((P tptp.fun_real_bool) (E tptp.real)) (=> (forall ((D2 tptp.real) (E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real D2) E2)) (=> (tptp.pp (tptp.aa_real_bool P D2)) (tptp.pp (tptp.aa_real_bool P E2))))) (=> (forall ((N3 tptp.nat)) (=> (not (= N3 tptp.zero_zero_nat)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3)))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (tptp.pp (tptp.aa_real_bool P E)))))))
% 19.22/19.43  (assume a7337 (forall ((E tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (exists ((N5 tptp.nat)) (and (not (= N5 tptp.zero_zero_nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5))) E)))))))
% 19.22/19.43  (assume a7338 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se3222712562003087583nteger A B2))) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.22/19.43  (assume a7339 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) B2))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.22/19.43  (assume a7340 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) B2))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2))))))
% 19.22/19.43  (assume a7341 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sqrt X)) X) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))))))
% 19.22/19.43  (assume a7342 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.ln_ln_real X))))))
% 19.22/19.43  (assume a7343 (forall ((A tptp.real)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) A)) A)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.zero_zero_real))))))
% 19.22/19.43  (assume a7344 (forall ((A tptp.rat)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat tptp.one_one_rat) A)) A)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))))))
% 19.22/19.43  (assume a7345 (forall ((A tptp.int)) (=> (tptp.member_int A tptp.ring_1_Ints_int) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) A)) A)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 19.22/19.43  (assume a7346 (forall ((X tptp.code_integer)) (=> (tptp.member_Code_integer X tptp.ring_11222124179247155820nteger) (=> (not (= X tptp.zero_z3403309356797280102nteger)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger tptp.one_one_Code_integer) (tptp.abs_abs_Code_integer X)))))))
% 19.22/19.43  (assume a7347 (forall ((X tptp.real)) (=> (tptp.member_real X tptp.ring_1_Ints_real) (=> (not (= X tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.abs_abs_real X)))))))
% 19.22/19.43  (assume a7348 (forall ((X tptp.rat)) (=> (tptp.member_rat X tptp.ring_1_Ints_rat) (=> (not (= X tptp.zero_zero_rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.abs_abs_rat X)))))))
% 19.22/19.43  (assume a7349 (forall ((X tptp.int)) (=> (tptp.member_int X tptp.ring_1_Ints_int) (=> (not (= X tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.one_one_int) (tptp.aa_int_int tptp.abs_abs_int X)))))))
% 19.22/19.43  (assume a7350 (forall ((X tptp.code_integer)) (=> (tptp.member_Code_integer X tptp.ring_11222124179247155820nteger) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer X)) tptp.one_one_Code_integer)) (= X tptp.zero_z3403309356797280102nteger)))))
% 19.22/19.43  (assume a7351 (forall ((X tptp.real)) (=> (tptp.member_real X tptp.ring_1_Ints_real) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= X tptp.zero_zero_real)))))
% 19.22/19.43  (assume a7352 (forall ((X tptp.rat)) (=> (tptp.member_rat X tptp.ring_1_Ints_rat) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat X)) tptp.one_one_rat)) (= X tptp.zero_zero_rat)))))
% 19.22/19.43  (assume a7353 (forall ((X tptp.int)) (=> (tptp.member_int X tptp.ring_1_Ints_int) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int X)) tptp.one_one_int)) (= X tptp.zero_zero_int)))))
% 19.22/19.43  (assume a7354 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (=> (tptp.member_Code_integer X tptp.ring_11222124179247155820nteger) (=> (tptp.member_Code_integer Y tptp.ring_11222124179247155820nteger) (= (= X Y) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.abs_abs_Code_integer (tptp.minus_8373710615458151222nteger X Y))) tptp.one_one_Code_integer)))))))
% 19.22/19.43  (assume a7355 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.member_real X tptp.ring_1_Ints_real) (=> (tptp.member_real Y tptp.ring_1_Ints_real) (= (= X Y) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y))) tptp.one_one_real)))))))
% 19.22/19.43  (assume a7356 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.member_rat X tptp.ring_1_Ints_rat) (=> (tptp.member_rat Y tptp.ring_1_Ints_rat) (= (= X Y) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) Y))) tptp.one_one_rat)))))))
% 19.22/19.43  (assume a7357 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.member_int X tptp.ring_1_Ints_int) (=> (tptp.member_int Y tptp.ring_1_Ints_int) (= (= X Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X) Y))) tptp.one_one_int)))))))
% 19.22/19.43  (assume a7358 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) tptp.pi)) tptp.zero_zero_real) (tptp.member_real X tptp.ring_1_Ints_real))))
% 19.22/19.43  (assume a7359 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))) X)))))))
% 19.22/19.43  (assume a7360 (forall ((X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) X)) (exists ((N3 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N3))) X)))))))
% 19.22/19.43  (assume a7361 (forall ((X tptp.real) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real X)) M)))))))
% 19.22/19.43  (assume a7362 (forall ((X tptp.complex) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) M)))))))
% 19.22/19.43  (assume a7363 (forall ((X tptp.rat) (M tptp.nat) (N tptp.nat)) (=> (not (= X tptp.zero_zero_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_rat (tptp.power_power_rat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat X) N)) (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat X)) M)))))))
% 19.22/19.43  (assume a7364 (forall ((K tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)))))
% 19.22/19.43  (assume a7365 (forall ((K tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)))))
% 19.22/19.43  (assume a7366 (forall ((K tptp.nat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)))))
% 19.22/19.43  (assume a7367 (forall ((K tptp.nat) (A tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K)))))
% 19.22/19.43  (assume a7368 (forall ((K tptp.nat) (A tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K)))))
% 19.22/19.43  (assume a7369 (forall ((K tptp.nat) (A tptp.rat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.one_one_rat)) K)))))
% 19.22/19.43  (assume a7370 (forall ((K tptp.nat) (M tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) M)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex M)) K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)))))))
% 19.22/19.43  (assume a7371 (forall ((K tptp.nat) (M tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) M)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M)) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)))))))
% 19.22/19.43  (assume a7372 (forall ((K tptp.nat) (M tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) M)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) M)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat M)) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) K)))))))
% 19.22/19.43  (assume a7373 (forall ((A tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (=> (not (= A tptp.one_one_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log A) X))))))))
% 19.22/19.43  (assume a7374 (forall ((X tptp.real)) (and (=> (tptp.member_real X tptp.ring_1_Ints_real) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real tptp.uminus_uminus_real X)) tptp.zero_zero_real)) (=> (not (tptp.member_real X tptp.ring_1_Ints_real)) (= (tptp.aa_real_real tptp.archim2898591450579166408c_real (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_real_real tptp.archim2898591450579166408c_real X)))))))
% 19.22/19.43  (assume a7375 (forall ((X tptp.rat)) (and (=> (tptp.member_rat X tptp.ring_1_Ints_rat) (= (tptp.aa_rat_rat tptp.archimedean_frac_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) tptp.zero_zero_rat)) (=> (not (tptp.member_rat X tptp.ring_1_Ints_rat)) (= (tptp.aa_rat_rat tptp.archimedean_frac_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat X)) (tptp.aa_rat_rat (tptp.minus_minus_rat tptp.one_one_rat) (tptp.aa_rat_rat tptp.archimedean_frac_rat X)))))))
% 19.22/19.43  (assume a7376 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K)))) (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)))))
% 19.22/19.43  (assume a7377 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)))))
% 19.22/19.43  (assume a7378 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K)))) (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)))))
% 19.22/19.43  (assume a7379 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.gbinomial_complex A) K)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex A) tptp.one_one_complex)) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7380 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7381 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.gbinomial_rat A) K)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) tptp.one_one_rat)) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat tptp.suc K)))))))
% 19.22/19.43  (assume a7382 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K)) A)) tptp.one_one_complex)) K)))))
% 19.22/19.43  (assume a7383 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K)) A)) tptp.one_one_real)) K)))))
% 19.22/19.43  (assume a7384 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K)) A)) tptp.one_one_rat)) K)))))
% 19.22/19.43  (assume a7385 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) tptp.one_one_complex)) K)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) N)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) N)))))
% 19.22/19.43  (assume a7386 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.one_one_real)) K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) N)))))
% 19.22/19.43  (assume a7387 (forall ((K tptp.nat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat N))) tptp.one_one_rat)) K)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) N)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) N)))))
% 19.22/19.43  (assume a7388 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X)))))))
% 19.22/19.43  (assume a7389 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) (tptp.aa_real_int tptp.archim6058952711729229775r_real B2)))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))))
% 19.22/19.43  (assume a7390 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) (tptp.aa_real_int tptp.archim6058952711729229775r_real B2)))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))))
% 19.22/19.43  (assume a7391 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim6058952711729229775r_real A)) (tptp.aa_real_int tptp.archim6058952711729229775r_real B2)))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))))))))
% 19.22/19.43  (assume a7392 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat A)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat B2)))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))))
% 19.22/19.43  (assume a7393 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat A)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat B2)))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))))
% 19.22/19.43  (assume a7394 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat A)) (tptp.aa_rat_int tptp.archim3151403230148437115or_rat B2)))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))))))))
% 19.22/19.43  (assume a7395 (forall ((X tptp.real) (A tptp.real)) (= (= (tptp.aa_real_real tptp.archim2898591450579166408c_real X) A) (and (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) A) tptp.ring_1_Ints_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) tptp.one_one_real))))))
% 19.22/19.43  (assume a7396 (forall ((X tptp.rat) (A tptp.rat)) (= (= (tptp.aa_rat_rat tptp.archimedean_frac_rat X) A) (and (tptp.member_rat (tptp.aa_rat_rat (tptp.minus_minus_rat X) A) tptp.ring_1_Ints_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.one_one_rat))))))
% 19.22/19.43  (assume a7397 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim7802044766580827645g_real A)) (tptp.aa_real_int tptp.archim7802044766580827645g_real B2)))))))))
% 19.22/19.43  (assume a7398 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim7802044766580827645g_real A)) (tptp.aa_real_int tptp.archim7802044766580827645g_real B2)))))))))
% 19.22/19.43  (assume a7399 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) A)) (=> (tptp.member_real A tptp.ring_1_Ints_real) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_real_int tptp.archim7802044766580827645g_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) B2)))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_real_int tptp.archim7802044766580827645g_real A)) (tptp.aa_real_int tptp.archim7802044766580827645g_real B2)))))))))
% 19.22/19.43  (assume a7400 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat A)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat B2)))))))))
% 19.22/19.43  (assume a7401 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat A)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat B2)))))))))
% 19.22/19.43  (assume a7402 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) A)) (=> (tptp.member_rat A tptp.ring_1_Ints_rat) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat A) B2)))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat A)) (tptp.aa_rat_int tptp.archim2889992004027027881ng_rat B2)))))))))
% 19.22/19.43  (assume a7403 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) K) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K)))))
% 19.22/19.43  (assume a7404 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real tptp.uminus_uminus_real A)) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)))))
% 19.22/19.43  (assume a7405 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K)) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) K)))))
% 19.22/19.43  (assume a7406 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.inverse_inverse_real X)))))))
% 19.22/19.43  (assume a7407 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.inverse_inverse_real X)))))
% 19.22/19.43  (assume a7408 (forall ((K tptp.nat) (A tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat))) (tptp.aa_nat_complex (tptp.gbinomial_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) tptp.one_one_complex)) K))))))
% 19.22/19.43  (assume a7409 (forall ((K tptp.nat) (A tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) tptp.one_one_real)) K))))))
% 19.22/19.43  (assume a7410 (forall ((K tptp.nat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) K)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.one_one_rat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat))) (tptp.aa_nat_rat (tptp.gbinomial_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) tptp.one_one_rat)) K))))))
% 19.22/19.43  (assume a7411 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)) K)) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex A)) K))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)))))
% 19.22/19.43  (assume a7412 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat)) K)) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat tptp.uminus_uminus_rat A)) K))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K)))))
% 19.22/19.43  (assume a7413 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real tptp.uminus_uminus_real A)) K))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)))))
% 19.22/19.43  (assume a7414 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.minus_minus_complex A) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex K))) tptp.one_one_complex)) K)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)))))
% 19.22/19.43  (assume a7415 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.minus_minus_rat A) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat K))) tptp.one_one_rat)) K)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K)))))
% 19.22/19.43  (assume a7416 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real K))) tptp.one_one_real)) K)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)))))
% 19.22/19.43  (assume a7417 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tan_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.tan_real X)))))
% 19.22/19.43  (assume a7418 (forall ((N tptp.real)) (=> (tptp.member_real N tptp.ring_1_Ints_real) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.zero_zero_real))))
% 19.22/19.43  (assume a7419 (forall ((N tptp.real)) (=> (tptp.member_real N tptp.ring_1_Ints_real) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) N)) tptp.one_one_real))))
% 19.22/19.43  (assume a7420 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N) N)) (=> (not (= M tptp.zero_zero_nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N) M)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 19.22/19.43  (assume a7421 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.43  (assume a7422 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.43  (assume a7423 (forall ((A tptp.code_integer)) (= (tptp.bit_se3222712562003087583nteger A tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger (tptp.plus_p5714425477246183910nteger A (tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.43  (assume a7424 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.43  (assume a7425 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.43  (assume a7426 (forall ((A tptp.code_integer)) (= (tptp.bit_se3222712562003087583nteger tptp.one_one_Code_integer A) (tptp.minus_8373710615458151222nteger (tptp.plus_p5714425477246183910nteger A (tptp.zero_n356916108424825756nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))) (tptp.zero_n356916108424825756nteger (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.43  (assume a7427 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat tptp.one_one_nat) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.43  (assume a7428 (forall ((A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int tptp.one_one_int) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)))))))
% 19.22/19.43  (assume a7429 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.exp_real X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.43  (assume a7430 (forall ((X tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cos_real X) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.tan_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.cos_real X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7431 (forall ((X tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cos_complex X) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.tan_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_complex_complex tptp.cos_complex X))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7432 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) (tptp.aa_real_real tptp.inverse_inverse_real X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7433 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real tptp.ln_ln_real X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) (tptp.aa_real_real tptp.inverse_inverse_real X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7434 (forall ((X tptp.real)) (= (= (tptp.aa_real_real tptp.cosh_real X) tptp.zero_zero_real) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.exp_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.43  (assume a7435 (forall ((X tptp.complex)) (= (= (tptp.aa_complex_complex tptp.cosh_complex X) tptp.zero_zero_complex) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.exp_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex tptp.one_one_complex)))))
% 19.22/19.43  (assume a7436 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A3 B3) (=> (not (= A3 B3)) (tptp.ord_less_set_nat A3 B3)))))
% 19.22/19.43  (assume a7437 (forall ((N tptp.num)) (= (tptp.bit_se7788150548672797655nteger (tptp.aa_num_nat tptp.numeral_numeral_nat N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.43  (assume a7438 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.43  (assume a7439 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.22/19.43  (assume a7440 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.22/19.43  (assume a7441 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.zero_zero_int) tptp.zero_zero_int)))
% 19.22/19.43  (assume a7442 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.22/19.43  (assume a7443 (forall ((N tptp.nat) (A tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A) tptp.zero_zero_int) (= A tptp.zero_zero_int))))
% 19.22/19.43  (assume a7444 (forall ((N tptp.nat) (A tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A) tptp.zero_zero_nat) (= A tptp.zero_zero_nat))))
% 19.22/19.43  (assume a7445 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) A))))
% 19.22/19.43  (assume a7446 (forall ((M tptp.nat) (N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) A))))
% 19.22/19.43  (assume a7447 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) B2)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) B2)))))
% 19.22/19.43  (assume a7448 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) B2)))))
% 19.22/19.43  (assume a7449 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) B2)) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) B2)))))
% 19.22/19.43  (assume a7450 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) B2)))))
% 19.22/19.43  (assume a7451 (forall ((N tptp.nat) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N tptp.zero_zero_int) L) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) L))))
% 19.22/19.43  (assume a7452 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.43  (assume a7453 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.43  (assume a7454 (= (tptp.aa_complex_complex tptp.cosh_complex tptp.zero_zero_complex) tptp.one_one_complex))
% 19.22/19.43  (assume a7455 (= (tptp.aa_real_real tptp.cosh_real tptp.zero_zero_real) tptp.one_one_real))
% 19.22/19.43  (assume a7456 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sinh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)))))
% 19.22/19.43  (assume a7457 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)))))
% 19.22/19.43  (assume a7458 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.sinh_real X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)))))
% 19.22/19.43  (assume a7459 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sinh_real X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)))))
% 19.22/19.43  (assume a7460 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L))))))
% 19.22/19.43  (assume a7461 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L)) tptp.zero_zero_int)) (not (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)))))))
% 19.22/19.43  (assume a7462 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.43  (assume a7463 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.43  (assume a7464 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.bit_se7788150548672797655nteger (tptp.aa_nat_nat tptp.suc N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.bit_se7788150548672797655nteger N (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 K)))))))
% 19.22/19.43  (assume a7465 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))))))
% 19.22/19.43  (assume a7466 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_int tptp.numeral_numeral_int K)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.43  (assume a7467 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 K))))))
% 19.22/19.43  (assume a7468 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 19.22/19.43  (assume a7469 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7470 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat (tptp.aa_nat_nat tptp.suc N)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7471 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 19.22/19.43  (assume a7472 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) tptp.one_one_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 19.22/19.43  (assume a7473 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_se7788150548672797655nteger N A))) (or (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.43  (assume a7474 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A))) (or (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.43  (assume a7475 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A))) (or (not (= N tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.43  (assume a7476 (forall ((L tptp.num) (K tptp.num)) (= (tptp.bit_se7788150548672797655nteger (tptp.aa_num_nat tptp.numeral_numeral_nat L) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger K))) (tptp.bit_se7788150548672797655nteger (tptp.aa_num_nat tptp.pred_numeral L) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 K)))))))
% 19.22/19.43  (assume a7477 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))))))
% 19.22/19.43  (assume a7478 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) K) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int)))))
% 19.22/19.43  (assume a7479 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) B2)))))
% 19.22/19.43  (assume a7480 (forall ((N tptp.nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) B2)))))
% 19.22/19.43  (assume a7481 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.exp_complex X))))
% 19.22/19.43  (assume a7482 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.exp_real X))))
% 19.22/19.43  (assume a7483 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.exp_complex X))))
% 19.22/19.43  (assume a7484 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.exp_real X))))
% 19.22/19.43  (assume a7485 (forall ((A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat) (C tptp.extended_enat)) (=> (tptp.ord_le2529575680413868914d_enat A3 B3) (=> (tptp.member_Extended_enat C A3) (tptp.member_Extended_enat C B3)))))
% 19.22/19.43  (assume a7486 (forall ((A3 tptp.set_complex) (B3 tptp.set_complex) (C tptp.complex)) (=> (tptp.ord_less_set_complex A3 B3) (=> (tptp.member_complex C A3) (tptp.member_complex C B3)))))
% 19.22/19.43  (assume a7487 (forall ((A3 tptp.set_real) (B3 tptp.set_real) (C tptp.real)) (=> (tptp.ord_less_set_real A3 B3) (=> (tptp.member_real C A3) (tptp.member_real C B3)))))
% 19.22/19.43  (assume a7488 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat) (C tptp.nat)) (=> (tptp.ord_less_set_nat A3 B3) (=> (tptp.member_nat C A3) (tptp.member_nat C B3)))))
% 19.22/19.43  (assume a7489 (forall ((A3 tptp.set_int) (B3 tptp.set_int) (C tptp.int)) (=> (tptp.ord_less_set_int A3 B3) (=> (tptp.member_int C A3) (tptp.member_int C B3)))))
% 19.22/19.43  (assume a7490 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)))))
% 19.22/19.43  (assume a7491 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)))))
% 19.22/19.43  (assume a7492 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int tptp.ring_1_of_int_int K)) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K)))))
% 19.22/19.43  (assume a7493 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) N)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)))))
% 19.22/19.43  (assume a7494 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N)))))
% 19.22/19.43  (assume a7495 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) M)))))
% 19.22/19.43  (assume a7496 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat M)) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) M)))))
% 19.22/19.43  (assume a7497 (forall ((A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (=> (tptp.ord_le2529575680413868914d_enat A3 B3) (exists ((B4 tptp.extended_enat)) (tptp.member_Extended_enat B4 (tptp.minus_925952699566721837d_enat B3 A3))))))
% 19.22/19.43  (assume a7498 (forall ((A3 tptp.set_complex) (B3 tptp.set_complex)) (=> (tptp.ord_less_set_complex A3 B3) (exists ((B4 tptp.complex)) (tptp.member_complex B4 (tptp.minus_811609699411566653omplex B3 A3))))))
% 19.22/19.43  (assume a7499 (forall ((A3 tptp.set_real) (B3 tptp.set_real)) (=> (tptp.ord_less_set_real A3 B3) (exists ((B4 tptp.real)) (tptp.member_real B4 (tptp.minus_minus_set_real B3 A3))))))
% 19.22/19.43  (assume a7500 (forall ((A3 tptp.set_int) (B3 tptp.set_int)) (=> (tptp.ord_less_set_int A3 B3) (exists ((B4 tptp.int)) (tptp.member_int B4 (tptp.minus_minus_set_int B3 A3))))))
% 19.22/19.43  (assume a7501 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.ord_less_set_nat A3 B3) (exists ((B4 tptp.nat)) (tptp.member_nat B4 (tptp.minus_minus_set_nat B3 A3))))))
% 19.22/19.43  (assume a7502 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 19.22/19.43  (assume a7503 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 19.22/19.43  (assume a7504 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 19.22/19.43  (assume a7505 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.sinh_real Y))))))
% 19.22/19.43  (assume a7506 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_int_nat tptp.nat2 K)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K)))))
% 19.22/19.43  (assume a7507 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_se7788150548672797655nteger N (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.bit_se7788150548672797655nteger N A)))))
% 19.22/19.43  (assume a7508 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int tptp.uminus_uminus_int A)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A)))))
% 19.22/19.43  (assume a7509 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.tanh_complex X) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex X)))))
% 19.22/19.43  (assume a7510 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.tanh_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)))))
% 19.22/19.43  (assume a7511 (forall ((K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L)) N)) (not (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) N)))))))
% 19.22/19.43  (assume a7512 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X))))))
% 19.22/19.43  (assume a7513 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X))))))
% 19.22/19.43  (assume a7514 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real X)))))
% 19.22/19.43  (assume a7515 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)))))
% 19.22/19.43  (assume a7516 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) Y)))))))
% 19.22/19.43  (assume a7517 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cosh_real X)))))
% 19.22/19.43  (assume a7518 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real tptp.cosh_real X)))))
% 19.22/19.43  (assume a7519 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))))
% 19.22/19.43  (assume a7520 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))
% 19.22/19.43  (assume a7521 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real tptp.cosh_real X)))))
% 19.22/19.43  (assume a7522 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.sinh_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex tptp.sinh_complex X))) (tptp.aa_complex_complex tptp.cosh_complex X)))))
% 19.22/19.43  (assume a7523 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.sinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real tptp.sinh_real X))) (tptp.aa_real_real tptp.cosh_real X)))))
% 19.22/19.43  (assume a7524 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M) A)))))
% 19.22/19.43  (assume a7525 (forall ((M tptp.nat) (N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) A)))))
% 19.22/19.43  (assume a7526 (forall ((M tptp.nat) (N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) A)))))
% 19.22/19.43  (assume a7527 (forall ((M tptp.nat) (N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) A)))))
% 19.22/19.43  (assume a7528 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y) (tptp.aa_complex_complex (tptp.times_times_complex X) (tptp.aa_complex_complex tptp.invers8013647133539491842omplex Y)))))
% 19.22/19.43  (assume a7529 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) tptp.one_one_nat)))))
% 19.22/19.43  (assume a7530 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y)))))))
% 19.22/19.43  (assume a7531 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))))
% 19.22/19.43  (assume a7532 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) tptp.zero_zero_real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_real_real tptp.cosh_real Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))))
% 19.22/19.43  (assume a7533 (forall ((M tptp.nat) (K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M) K)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.22/19.43  (assume a7534 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 19.22/19.43  (assume a7535 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex))))
% 19.22/19.43  (assume a7536 (forall ((X tptp.complex)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex))))
% 19.22/19.43  (assume a7537 (forall ((X tptp.real)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 19.22/19.43  (assume a7538 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_complex)))
% 19.22/19.43  (assume a7539 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real)))
% 19.22/19.43  (assume a7540 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.43  (assume a7541 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.ord_less_set_nat A3 B3) (not (=> (tptp.ord_less_eq_set_nat A3 B3) (tptp.ord_less_eq_set_nat B3 A3))))))
% 19.22/19.43  (assume a7542 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.ord_less_set_nat A3 B3) (and (tptp.ord_less_eq_set_nat A3 B3) (not (= A3 B3))))))
% 19.22/19.43  (assume a7543 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.ord_less_set_nat A3 B3) (tptp.ord_less_eq_set_nat A3 B3))))
% 19.22/19.43  (assume a7544 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat) (C5 tptp.set_nat)) (=> (tptp.ord_less_set_nat A3 B3) (=> (tptp.ord_less_eq_set_nat B3 C5) (tptp.ord_less_set_nat A3 C5)))))
% 19.22/19.43  (assume a7545 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.ord_less_set_nat A3 B3) (and (tptp.ord_less_eq_set_nat A3 B3) (not (tptp.ord_less_eq_set_nat B3 A3))))))
% 19.22/19.43  (assume a7546 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat) (C5 tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A3 B3) (=> (tptp.ord_less_set_nat B3 C5) (tptp.ord_less_set_nat A3 C5)))))
% 19.22/19.43  (assume a7547 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.ord_less_eq_set_nat A3 B3) (or (tptp.ord_less_set_nat A3 B3) (= A3 B3)))))
% 19.22/19.43  (assume a7548 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat) (C5 tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A3 B3) (=> (tptp.ord_less_eq_set_nat B3 C5) (= (tptp.minus_minus_set_nat B3 (tptp.minus_minus_set_nat C5 A3)) A3)))))
% 19.22/19.43  (assume a7549 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A3 B3) A3)))
% 19.22/19.43  (assume a7550 (forall ((A3 tptp.set_nat) (C5 tptp.set_nat) (D4 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A3 C5) (=> (tptp.ord_less_eq_set_nat D4 B3) (tptp.ord_less_eq_set_nat (tptp.minus_minus_set_nat A3 B3) (tptp.minus_minus_set_nat C5 D4))))))
% 19.22/19.43  (assume a7551 (forall ((M tptp.nat) (Q2 tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) Q2)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)))))))
% 19.22/19.43  (assume a7552 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) L)))))
% 19.22/19.43  (assume a7553 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real tptp.arcosh_real (tptp.aa_real_real tptp.cosh_real X)) X))))
% 19.22/19.43  (assume a7554 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2159334234014336723it_int N) A) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int A) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int)))))
% 19.22/19.43  (assume a7555 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2161824704523386999it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se6528837805403552850or_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) tptp.one_one_nat)))))
% 19.22/19.43  (assume a7556 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.cosh_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.cosh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_complex_complex tptp.sinh_complex X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7557 (forall ((X tptp.real)) (= (tptp.aa_real_real tptp.cosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.cosh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.sinh_real X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7558 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.43  (assume a7559 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.43  (assume a7560 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)) (not (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int)) tptp.zero_zero_int)))))
% 19.22/19.43  (assume a7561 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat A) N)) (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se727722235901077358nd_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) tptp.one_one_nat)) tptp.zero_zero_nat)))))
% 19.22/19.43  (assume a7562 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.43  (assume a7563 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.43  (assume a7564 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.43  (assume a7565 (forall ((N tptp.nat) (A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.43  (assume a7566 (forall ((N tptp.nat) (A tptp.code_integer)) (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) A)) (not (forall ((B4 tptp.code_integer)) (not (= A (tptp.bit_se7788150548672797655nteger N B4))))))))
% 19.22/19.43  (assume a7567 (forall ((N tptp.nat) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)) (not (forall ((B4 tptp.int)) (not (= A (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) B4))))))))
% 19.22/19.43  (assume a7568 (forall ((N tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) A)) (not (forall ((B4 tptp.nat)) (not (= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat N) B4))))))))
% 19.22/19.43  (assume a7569 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.43  (assume a7570 (forall ((X tptp.complex) (Y tptp.complex)) (=> (not (= (tptp.aa_complex_complex tptp.cosh_complex X) tptp.zero_zero_complex)) (=> (not (= (tptp.aa_complex_complex tptp.cosh_complex Y) tptp.zero_zero_complex)) (= (tptp.aa_complex_complex tptp.tanh_complex (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.tanh_complex X)) (tptp.aa_complex_complex tptp.tanh_complex Y))) (tptp.aa_complex_complex (tptp.plus_plus_complex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.tanh_complex X)) (tptp.aa_complex_complex tptp.tanh_complex Y)))))))))
% 19.22/19.43  (assume a7571 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= (tptp.aa_real_real tptp.cosh_real X) tptp.zero_zero_real)) (=> (not (= (tptp.aa_real_real tptp.cosh_real Y) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.tanh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.tanh_real X)) (tptp.aa_real_real tptp.tanh_real Y)))))))))
% 19.22/19.43  (assume a7572 (forall ((X tptp.int) (N tptp.nat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) Y)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.43  (assume a7573 (forall ((Z tptp.real)) (= (tptp.aa_real_real tptp.cosh_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.exp_real Z)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.43  (assume a7574 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.cosh_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.43  (assume a7575 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_real_complex (tptp.complex2 A) B2)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real A) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.43  (assume a7576 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.43  (assume a7577 (forall ((Z tptp.real)) (= (tptp.aa_real_real tptp.sinh_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.exp_real Z)) (tptp.aa_real_real tptp.exp_real (tptp.aa_real_real tptp.uminus_uminus_real Z)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.43  (assume a7578 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.sinh_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_complex_complex tptp.exp_complex (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex Z)))) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.43  (assume a7579 (forall ((K tptp.int) (L tptp.int)) (and (=> (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int L))) (=> (not (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K))) (=> (not (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) L)) (=> (not (= K tptp.zero_zero_int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) K)) (=> (not (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))))
% 19.22/19.43  (assume a7580 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT tptp.treeList))))
% 19.22/19.43  (assume a7581 (forall ((X5 tptp.fun_nat_real)) (= (tptp.topolo4055970368930404560y_real X5) (forall ((J3 tptp.nat)) (exists ((M8 tptp.nat)) (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) M7)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) N5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real X5 M7)) (tptp.aa_nat_real X5 N5)))) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc J3))))))))))))))
% 19.22/19.43  (assume a7582 (forall ((A tptp.set_nat)) (tptp.ord_less_eq_set_nat A A)))
% 19.22/19.43  (assume a7583 (forall ((A tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) A))))
% 19.22/19.43  (assume a7584 (forall ((A tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) A))))
% 19.22/19.43  (assume a7585 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) A))))
% 19.22/19.43  (assume a7586 (forall ((A tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) A))))
% 19.22/19.43  (assume a7587 (forall ((X tptp.set_nat)) (tptp.ord_less_eq_set_nat X X)))
% 19.22/19.43  (assume a7588 (forall ((X tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) X))))
% 19.22/19.43  (assume a7589 (forall ((X tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) X))))
% 19.22/19.43  (assume a7590 (forall ((X tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) X))))
% 19.22/19.43  (assume a7591 (forall ((X tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) X))))
% 19.22/19.43  (assume a7592 (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)))
% 19.22/19.43  (assume a7593 (forall ((C tptp.extended_enat) (A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (=> (tptp.member_Extended_enat C A3) (=> (not (tptp.member_Extended_enat C B3)) (tptp.member_Extended_enat C (tptp.minus_925952699566721837d_enat A3 B3))))))
% 19.22/19.43  (assume a7594 (forall ((C tptp.complex) (A3 tptp.set_complex) (B3 tptp.set_complex)) (=> (tptp.member_complex C A3) (=> (not (tptp.member_complex C B3)) (tptp.member_complex C (tptp.minus_811609699411566653omplex A3 B3))))))
% 19.22/19.43  (assume a7595 (forall ((C tptp.real) (A3 tptp.set_real) (B3 tptp.set_real)) (=> (tptp.member_real C A3) (=> (not (tptp.member_real C B3)) (tptp.member_real C (tptp.minus_minus_set_real A3 B3))))))
% 19.22/19.43  (assume a7596 (forall ((C tptp.int) (A3 tptp.set_int) (B3 tptp.set_int)) (=> (tptp.member_int C A3) (=> (not (tptp.member_int C B3)) (tptp.member_int C (tptp.minus_minus_set_int A3 B3))))))
% 19.22/19.43  (assume a7597 (forall ((C tptp.nat) (A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.member_nat C A3) (=> (not (tptp.member_nat C B3)) (tptp.member_nat C (tptp.minus_minus_set_nat A3 B3))))))
% 19.22/19.43  (assume a7598 (forall ((C tptp.extended_enat) (A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (= (tptp.member_Extended_enat C (tptp.minus_925952699566721837d_enat A3 B3)) (and (tptp.member_Extended_enat C A3) (not (tptp.member_Extended_enat C B3))))))
% 19.22/19.43  (assume a7599 (forall ((C tptp.complex) (A3 tptp.set_complex) (B3 tptp.set_complex)) (= (tptp.member_complex C (tptp.minus_811609699411566653omplex A3 B3)) (and (tptp.member_complex C A3) (not (tptp.member_complex C B3))))))
% 19.22/19.43  (assume a7600 (forall ((C tptp.real) (A3 tptp.set_real) (B3 tptp.set_real)) (= (tptp.member_real C (tptp.minus_minus_set_real A3 B3)) (and (tptp.member_real C A3) (not (tptp.member_real C B3))))))
% 19.22/19.43  (assume a7601 (forall ((C tptp.int) (A3 tptp.set_int) (B3 tptp.set_int)) (= (tptp.member_int C (tptp.minus_minus_set_int A3 B3)) (and (tptp.member_int C A3) (not (tptp.member_int C B3))))))
% 19.22/19.43  (assume a7602 (forall ((C tptp.nat) (A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.member_nat C (tptp.minus_minus_set_nat A3 B3)) (and (tptp.member_nat C A3) (not (tptp.member_nat C B3))))))
% 19.22/19.43  (assume a7603 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.minus_minus_set_nat (tptp.minus_minus_set_nat A3 B3) B3) (tptp.minus_minus_set_nat A3 B3))))
% 19.22/19.43  (assume a7604 (forall ((X tptp.int) (Y tptp.int)) (= (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int Y)) (= X Y))))
% 19.22/19.43  (assume a7605 (forall ((X tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X)) X)))
% 19.22/19.43  (assume a7606 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int Y)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) Y)))))
% 19.22/19.43  (assume a7607 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X)) Y) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) Y)))))
% 19.22/19.43  (assume a7608 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X)) tptp.zero_zero_int)))
% 19.22/19.43  (assume a7609 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X)) X) tptp.zero_zero_int)))
% 19.22/19.43  (assume a7610 (= (tptp.bit_ri7632146776885996613nteger tptp.zero_z3403309356797280102nteger) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)))
% 19.22/19.43  (assume a7611 (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))
% 19.22/19.43  (assume a7612 (= (tptp.bit_ri7632146776885996613nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) tptp.zero_z3403309356797280102nteger))
% 19.22/19.43  (assume a7613 (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) tptp.zero_zero_int))
% 19.22/19.43  (assume a7614 (forall ((X tptp.code_integer)) (= (tptp.bit_se3222712562003087583nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer) X) (tptp.bit_ri7632146776885996613nteger X))))
% 19.22/19.43  (assume a7615 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) X) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X))))
% 19.22/19.43  (assume a7616 (forall ((X tptp.code_integer)) (= (tptp.bit_se3222712562003087583nteger X (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.bit_ri7632146776885996613nteger X))))
% 19.22/19.43  (assume a7617 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X))))
% 19.22/19.43  (assume a7618 (forall ((X tptp.code_integer)) (= (tptp.bit_se3222712562003087583nteger (tptp.bit_ri7632146776885996613nteger X) X) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.22/19.43  (assume a7619 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X)) X) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.43  (assume a7620 (forall ((X tptp.code_integer)) (= (tptp.bit_se3222712562003087583nteger X (tptp.bit_ri7632146776885996613nteger X)) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))))
% 19.22/19.43  (assume a7621 (forall ((X tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int X) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int X)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.43  (assume a7622 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.22/19.43  (assume a7623 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.22/19.43  (assume a7624 (forall ((N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.bit_ri7632146776885996613nteger (tptp.numera6620942414471956472nteger N))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N)))))
% 19.22/19.43  (assume a7625 (forall ((N tptp.num)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N)))))
% 19.22/19.43  (assume a7626 (forall ((A tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.bit_ri7632146776885996613nteger A))) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.43  (assume a7627 (forall ((A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A))))))
% 19.22/19.43  (assume a7628 (forall ((N tptp.nat)) (= (tptp.bit_se7788150548672797655nteger N (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer)) (tptp.bit_ri7632146776885996613nteger (tptp.bit_se2119862282449309892nteger N)))))
% 19.22/19.43  (assume a7629 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 19.22/19.43  (assume a7630 (= (tptp.bit_ri7632146776885996613nteger tptp.one_one_Code_integer) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.43  (assume a7631 (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.43  (assume a7632 (forall ((P tptp.fun_li6006399982103069984T_bool) (Xs tptp.list_VEBT_VEBT)) (=> (forall ((Xs2 tptp.list_VEBT_VEBT)) (=> (forall ((Ys tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_s6755466524823107622T_VEBT Ys)) (tptp.size_s6755466524823107622T_VEBT Xs2))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Ys)))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Xs2)))) (tptp.pp (tptp.aa_lis2822252094023462681T_bool P Xs)))))
% 19.22/19.43  (assume a7633 (forall ((P tptp.fun_list_bool_bool) (Xs tptp.list_bool)) (=> (forall ((Xs2 tptp.list_bool)) (=> (forall ((Ys tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_bool Ys)) (tptp.size_size_list_bool Xs2))) (tptp.pp (tptp.aa_list_bool_bool P Ys)))) (tptp.pp (tptp.aa_list_bool_bool P Xs2)))) (tptp.pp (tptp.aa_list_bool_bool P Xs)))))
% 19.22/19.43  (assume a7634 (forall ((P tptp.fun_list_nat_bool) (Xs tptp.list_nat)) (=> (forall ((Xs2 tptp.list_nat)) (=> (forall ((Ys tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_nat Ys)) (tptp.size_size_list_nat Xs2))) (tptp.pp (tptp.aa_list_nat_bool P Ys)))) (tptp.pp (tptp.aa_list_nat_bool P Xs2)))) (tptp.pp (tptp.aa_list_nat_bool P Xs)))))
% 19.22/19.43  (assume a7635 (forall ((P tptp.fun_list_int_bool) (Xs tptp.list_int)) (=> (forall ((Xs2 tptp.list_int)) (=> (forall ((Ys tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.size_size_list_int Ys)) (tptp.size_size_list_int Xs2))) (tptp.pp (tptp.aa_list_int_bool P Ys)))) (tptp.pp (tptp.aa_list_int_bool P Xs2)))) (tptp.pp (tptp.aa_list_int_bool P Xs)))))
% 19.22/19.43  (assume a7636 (forall ((C tptp.extended_enat) (A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (=> (tptp.member_Extended_enat C (tptp.minus_925952699566721837d_enat A3 B3)) (not (=> (tptp.member_Extended_enat C A3) (tptp.member_Extended_enat C B3))))))
% 19.22/19.43  (assume a7637 (forall ((C tptp.complex) (A3 tptp.set_complex) (B3 tptp.set_complex)) (=> (tptp.member_complex C (tptp.minus_811609699411566653omplex A3 B3)) (not (=> (tptp.member_complex C A3) (tptp.member_complex C B3))))))
% 19.22/19.43  (assume a7638 (forall ((C tptp.real) (A3 tptp.set_real) (B3 tptp.set_real)) (=> (tptp.member_real C (tptp.minus_minus_set_real A3 B3)) (not (=> (tptp.member_real C A3) (tptp.member_real C B3))))))
% 19.22/19.43  (assume a7639 (forall ((C tptp.int) (A3 tptp.set_int) (B3 tptp.set_int)) (=> (tptp.member_int C (tptp.minus_minus_set_int A3 B3)) (not (=> (tptp.member_int C A3) (tptp.member_int C B3))))))
% 19.22/19.43  (assume a7640 (forall ((C tptp.nat) (A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.member_nat C (tptp.minus_minus_set_nat A3 B3)) (not (=> (tptp.member_nat C A3) (tptp.member_nat C B3))))))
% 19.22/19.43  (assume a7641 (forall ((C tptp.extended_enat) (A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (=> (tptp.member_Extended_enat C (tptp.minus_925952699566721837d_enat A3 B3)) (tptp.member_Extended_enat C A3))))
% 19.22/19.43  (assume a7642 (forall ((C tptp.complex) (A3 tptp.set_complex) (B3 tptp.set_complex)) (=> (tptp.member_complex C (tptp.minus_811609699411566653omplex A3 B3)) (tptp.member_complex C A3))))
% 19.22/19.43  (assume a7643 (forall ((C tptp.real) (A3 tptp.set_real) (B3 tptp.set_real)) (=> (tptp.member_real C (tptp.minus_minus_set_real A3 B3)) (tptp.member_real C A3))))
% 19.22/19.43  (assume a7644 (forall ((C tptp.int) (A3 tptp.set_int) (B3 tptp.set_int)) (=> (tptp.member_int C (tptp.minus_minus_set_int A3 B3)) (tptp.member_int C A3))))
% 19.22/19.43  (assume a7645 (forall ((C tptp.nat) (A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.member_nat C (tptp.minus_minus_set_nat A3 B3)) (tptp.member_nat C A3))))
% 19.22/19.43  (assume a7646 (forall ((C tptp.extended_enat) (A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (=> (tptp.member_Extended_enat C (tptp.minus_925952699566721837d_enat A3 B3)) (not (tptp.member_Extended_enat C B3)))))
% 19.22/19.43  (assume a7647 (forall ((C tptp.complex) (A3 tptp.set_complex) (B3 tptp.set_complex)) (=> (tptp.member_complex C (tptp.minus_811609699411566653omplex A3 B3)) (not (tptp.member_complex C B3)))))
% 19.22/19.43  (assume a7648 (forall ((C tptp.real) (A3 tptp.set_real) (B3 tptp.set_real)) (=> (tptp.member_real C (tptp.minus_minus_set_real A3 B3)) (not (tptp.member_real C B3)))))
% 19.22/19.43  (assume a7649 (forall ((C tptp.int) (A3 tptp.set_int) (B3 tptp.set_int)) (=> (tptp.member_int C (tptp.minus_minus_set_int A3 B3)) (not (tptp.member_int C B3)))))
% 19.22/19.43  (assume a7650 (forall ((C tptp.nat) (A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.member_nat C (tptp.minus_minus_set_nat A3 B3)) (not (tptp.member_nat C B3)))))
% 19.22/19.43  (assume a7651 (forall ((N tptp.nat) (A tptp.int) (B2 tptp.int)) (= (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int B2))) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) B2)))))
% 19.22/19.43  (assume a7652 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A)))))
% 19.22/19.43  (assume a7653 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) N)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N))))))
% 19.22/19.43  (assume a7654 (forall ((K tptp.int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int tptp.ring_1_of_int_int K)))))
% 19.22/19.43  (assume a7655 (forall ((X tptp.list_VEBT_VEBT) (Y tptp.list_VEBT_VEBT)) (=> (not (= (tptp.size_s6755466524823107622T_VEBT X) (tptp.size_s6755466524823107622T_VEBT Y))) (not (= X Y)))))
% 19.22/19.43  (assume a7656 (forall ((X tptp.list_bool) (Y tptp.list_bool)) (=> (not (= (tptp.size_size_list_bool X) (tptp.size_size_list_bool Y))) (not (= X Y)))))
% 19.22/19.43  (assume a7657 (forall ((X tptp.list_nat) (Y tptp.list_nat)) (=> (not (= (tptp.size_size_list_nat X) (tptp.size_size_list_nat Y))) (not (= X Y)))))
% 19.22/19.43  (assume a7658 (forall ((X tptp.list_int) (Y tptp.list_int)) (=> (not (= (tptp.size_size_list_int X) (tptp.size_size_list_int Y))) (not (= X Y)))))
% 19.22/19.43  (assume a7659 (forall ((X tptp.num) (Y tptp.num)) (=> (not (= (tptp.aa_num_nat tptp.size_size_num X) (tptp.aa_num_nat tptp.size_size_num Y))) (not (= X Y)))))
% 19.22/19.43  (assume a7660 (forall ((K tptp.num)) (= (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int K)))))
% 19.22/19.43  (assume a7661 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A)) B2))))
% 19.22/19.43  (assume a7662 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A)) B2))))
% 19.22/19.43  (assume a7663 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.plus_p5714425477246183910nteger (tptp.bit_ri7632146776885996613nteger A) tptp.one_one_Code_integer))))
% 19.22/19.43  (assume a7664 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A)) tptp.one_one_int))))
% 19.22/19.43  (assume a7665 (forall ((A tptp.code_integer)) (= (tptp.bit_ri7632146776885996613nteger A) (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) tptp.one_one_Code_integer))))
% 19.22/19.43  (assume a7666 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int A)) tptp.one_one_int))))
% 19.22/19.43  (assume a7667 (forall ((A tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger A) (tptp.bit_ri7632146776885996613nteger (tptp.minus_8373710615458151222nteger A tptp.one_one_Code_integer)))))
% 19.22/19.43  (assume a7668 (forall ((A tptp.int)) (= (tptp.aa_int_int tptp.uminus_uminus_int A) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) tptp.one_one_int)))))
% 19.22/19.43  (assume a7669 (forall ((K tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int K)) tptp.one_one_int))))
% 19.22/19.43  (assume a7670 (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) tptp.zero_zero_int))
% 19.22/19.43  (assume a7671 (forall ((B2 tptp.int) (A tptp.int)) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int B2) N3)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N3)))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int A) B2) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int B2))))))
% 19.22/19.43  (assume a7672 (forall ((A tptp.rat) (B2 tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (not (= B2 A))))))
% 19.22/19.43  (assume a7673 (forall ((A tptp.num) (B2 tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (not (= B2 A))))))
% 19.22/19.43  (assume a7674 (forall ((A tptp.nat) (B2 tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (not (= B2 A))))))
% 19.22/19.43  (assume a7675 (forall ((A tptp.int) (B2 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (not (= B2 A))))))
% 19.22/19.43  (assume a7676 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Z)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Z)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) Y)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)))) (=> (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X)))) (not (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Z) X)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y))))))))))))
% 19.22/19.43  (assume a7677 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Z)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Z)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))) (=> (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X)))) (not (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Z) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y))))))))))))
% 19.22/19.43  (assume a7678 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Z)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Z)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X)))) (not (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Z) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))))))))))))
% 19.22/19.43  (assume a7679 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Z)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Z)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X)))) (not (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Z) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))))))))))))
% 19.22/19.43  (assume a7680 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (= X Y) (and (tptp.ord_less_eq_set_nat X Y) (tptp.ord_less_eq_set_nat Y X)))))
% 19.22/19.43  (assume a7681 (forall ((X tptp.rat) (Y tptp.rat)) (= (= X Y) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X))))))
% 19.22/19.43  (assume a7682 (forall ((X tptp.num) (Y tptp.num)) (= (= X Y) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X))))))
% 19.22/19.43  (assume a7683 (forall ((X tptp.nat) (Y tptp.nat)) (= (= X Y) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X))))))
% 19.22/19.43  (assume a7684 (forall ((X tptp.int) (Y tptp.int)) (= (= X Y) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X))))))
% 19.22/19.43  (assume a7685 (forall ((A tptp.set_nat) (B2 tptp.set_nat) (C tptp.set_nat)) (=> (= A B2) (=> (tptp.ord_less_eq_set_nat B2 C) (tptp.ord_less_eq_set_nat A C)))))
% 19.22/19.43  (assume a7686 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (= A B2) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 19.22/19.43  (assume a7687 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (= A B2) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 19.22/19.43  (assume a7688 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (= A B2) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 19.22/19.43  (assume a7689 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (= A B2) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 19.22/19.43  (assume a7690 (forall ((A tptp.set_nat) (B2 tptp.set_nat) (C tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A B2) (=> (= B2 C) (tptp.ord_less_eq_set_nat A C)))))
% 19.22/19.43  (assume a7691 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 19.22/19.43  (assume a7692 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 19.22/19.43  (assume a7693 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 19.22/19.43  (assume a7694 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 19.22/19.43  (assume a7695 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat X Y) (=> (tptp.ord_less_eq_set_nat Y X) (= X Y)))))
% 19.22/19.43  (assume a7696 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7697 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7698 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7699 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7700 (forall ((A tptp.set_nat) (B2 tptp.set_nat) (C tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A B2) (=> (tptp.ord_less_eq_set_nat B2 C) (tptp.ord_less_eq_set_nat A C)))))
% 19.22/19.43  (assume a7701 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) C))))))
% 19.22/19.43  (assume a7702 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) C))))))
% 19.22/19.43  (assume a7703 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) C))))))
% 19.22/19.43  (assume a7704 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) C))))))
% 19.22/19.43  (assume a7705 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat X Y) (=> (tptp.ord_less_eq_set_nat Y Z) (tptp.ord_less_eq_set_nat X Z)))))
% 19.22/19.43  (assume a7706 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Z))))))
% 19.22/19.43  (assume a7707 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Z))))))
% 19.22/19.43  (assume a7708 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Z))))))
% 19.22/19.43  (assume a7709 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Z))))))
% 19.22/19.43  (assume a7710 (forall ((P tptp.fun_rat_fun_rat_bool) (A tptp.rat) (B2 tptp.rat)) (=> (forall ((A4 tptp.rat) (B4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A4) B4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A4) B4)))) (=> (forall ((A4 tptp.rat) (B4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P B4) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A4) B4)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A) B2))))))
% 19.22/19.43  (assume a7711 (forall ((P tptp.fun_num_fun_num_bool) (A tptp.num) (B2 tptp.num)) (=> (forall ((A4 tptp.num) (B4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A4) B4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A4) B4)))) (=> (forall ((A4 tptp.num) (B4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P B4) A4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A4) B4)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A) B2))))))
% 19.22/19.43  (assume a7712 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B2 tptp.nat)) (=> (forall ((A4 tptp.nat) (B4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A4) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) B4)))) (=> (forall ((A4 tptp.nat) (B4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B4) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) B4)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B2))))))
% 19.22/19.43  (assume a7713 (forall ((P tptp.fun_int_fun_int_bool) (A tptp.int) (B2 tptp.int)) (=> (forall ((A4 tptp.int) (B4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A4) B4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A4) B4)))) (=> (forall ((A4 tptp.int) (B4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P B4) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A4) B4)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A) B2))))))
% 19.22/19.43  (assume a7714 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (= A B2) (and (tptp.ord_less_eq_set_nat B2 A) (tptp.ord_less_eq_set_nat A B2)))))
% 19.22/19.43  (assume a7715 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A B2) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.22/19.43  (assume a7716 (forall ((A tptp.num) (B2 tptp.num)) (= (= A B2) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))))))
% 19.22/19.43  (assume a7717 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= A B2) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))))))
% 19.22/19.43  (assume a7718 (forall ((A tptp.int) (B2 tptp.int)) (= (= A B2) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.43  (assume a7719 (forall ((B2 tptp.set_nat) (A tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat B2 A) (=> (tptp.ord_less_eq_set_nat A B2) (= A B2)))))
% 19.22/19.43  (assume a7720 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (= A B2)))))
% 19.22/19.43  (assume a7721 (forall ((B2 tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (= A B2)))))
% 19.22/19.43  (assume a7722 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (= A B2)))))
% 19.22/19.43  (assume a7723 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (= A B2)))))
% 19.22/19.43  (assume a7724 (forall ((B2 tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat B2 A) (=> (tptp.ord_less_eq_set_nat C B2) (tptp.ord_less_eq_set_nat C A)))))
% 19.22/19.43  (assume a7725 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A))))))
% 19.22/19.43  (assume a7726 (forall ((B2 tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A))))))
% 19.22/19.43  (assume a7727 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A))))))
% 19.22/19.43  (assume a7728 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A))))))
% 19.22/19.43  (assume a7729 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A B2) (=> (tptp.ord_less_eq_set_nat B2 A) (= A B2)))))
% 19.22/19.43  (assume a7730 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (= A B2)))))
% 19.22/19.43  (assume a7731 (forall ((A tptp.num) (B2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (= A B2)))))
% 19.22/19.43  (assume a7732 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (= A B2)))))
% 19.22/19.43  (assume a7733 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (= A B2)))))
% 19.22/19.43  (assume a7734 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (= A B2) (and (tptp.ord_less_eq_set_nat A B2) (tptp.ord_less_eq_set_nat B2 A)))))
% 19.22/19.43  (assume a7735 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= A B2) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A))))))
% 19.22/19.43  (assume a7736 (forall ((A tptp.num) (B2 tptp.num)) (= (= A B2) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A))))))
% 19.22/19.43  (assume a7737 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= A B2) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))))
% 19.22/19.43  (assume a7738 (forall ((A tptp.int) (B2 tptp.int)) (= (= A B2) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A))))))
% 19.22/19.43  (assume a7739 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F C))))))))
% 19.22/19.43  (assume a7740 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F C))))))))
% 19.22/19.43  (assume a7741 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X3)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F C))))))))
% 19.22/19.43  (assume a7742 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_int_rat F B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X3)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_int_rat F C))))))))
% 19.22/19.43  (assume a7743 (forall ((A tptp.num) (F tptp.fun_rat_num) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F C))))))))
% 19.22/19.43  (assume a7744 (forall ((A tptp.num) (F tptp.fun_num_num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X3)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 19.22/19.43  (assume a7745 (forall ((A tptp.num) (F tptp.fun_nat_num) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X3)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 19.22/19.43  (assume a7746 (forall ((A tptp.num) (F tptp.fun_int_num) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_int_num F B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_int_num F X3)) (tptp.aa_int_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_int_num F C))))))))
% 19.22/19.43  (assume a7747 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F C))))))))
% 19.22/19.43  (assume a7748 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X3)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 19.22/19.43  (assume a7749 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F A)) C)))))))
% 19.22/19.43  (assume a7750 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F A)) C)))))))
% 19.22/19.43  (assume a7751 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F A)) C)))))))
% 19.22/19.43  (assume a7752 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F A)) C)))))))
% 19.22/19.43  (assume a7753 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F A)) C)))))))
% 19.22/19.43  (assume a7754 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X3)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 19.22/19.43  (assume a7755 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X3)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 19.22/19.43  (assume a7756 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X3)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 19.22/19.43  (assume a7757 (forall ((A tptp.nat) (B2 tptp.nat) (F tptp.fun_nat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F B2)) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X3)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F A)) C)))))))
% 19.22/19.43  (assume a7758 (forall ((A tptp.nat) (B2 tptp.nat) (F tptp.fun_nat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F B2)) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X3)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 19.22/19.43  (assume a7759 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (= X Y) (tptp.ord_less_eq_set_nat X Y))))
% 19.22/19.43  (assume a7760 (forall ((X tptp.rat) (Y tptp.rat)) (=> (= X Y) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)))))
% 19.22/19.43  (assume a7761 (forall ((X tptp.num) (Y tptp.num)) (=> (= X Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)))))
% 19.22/19.43  (assume a7762 (forall ((X tptp.nat) (Y tptp.nat)) (=> (= X Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)))))
% 19.22/19.43  (assume a7763 (forall ((X tptp.int) (Y tptp.int)) (=> (= X Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)))))
% 19.22/19.43  (assume a7764 (forall ((X tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)))))
% 19.22/19.43  (assume a7765 (forall ((X tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 19.22/19.43  (assume a7766 (forall ((X tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 19.22/19.43  (assume a7767 (forall ((X tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 19.22/19.43  (assume a7768 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_rat F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F C))))))))
% 19.22/19.43  (assume a7769 (forall ((A tptp.num) (F tptp.fun_rat_num) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_num F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_rat_num F C))))))))
% 19.22/19.43  (assume a7770 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_nat F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_rat_nat F C))))))))
% 19.22/19.43  (assume a7771 (forall ((A tptp.int) (F tptp.fun_rat_int) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_int F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_rat_int F C))))))))
% 19.22/19.43  (assume a7772 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B2 tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_rat F B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F C))))))))
% 19.22/19.43  (assume a7773 (forall ((A tptp.num) (F tptp.fun_num_num) (B2 tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_num F B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X3)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_num_num F C))))))))
% 19.22/19.43  (assume a7774 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B2 tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_nat F B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X3)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_num_nat F C))))))))
% 19.22/19.43  (assume a7775 (forall ((A tptp.int) (F tptp.fun_num_int) (B2 tptp.num) (C tptp.num)) (=> (= A (tptp.aa_num_int F B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X3)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) (tptp.aa_num_int F C))))))))
% 19.22/19.43  (assume a7776 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B2 tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_rat F B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X3)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F C))))))))
% 19.22/19.43  (assume a7777 (forall ((A tptp.num) (F tptp.fun_nat_num) (B2 tptp.nat) (C tptp.nat)) (=> (= A (tptp.aa_nat_num F B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X3)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) (tptp.aa_nat_num F C))))))))
% 19.22/19.43  (assume a7778 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (= (tptp.aa_rat_rat F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F A)) C)))))))
% 19.22/19.43  (assume a7779 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (= (tptp.aa_rat_num F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F A)) C)))))))
% 19.22/19.43  (assume a7780 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (= (tptp.aa_rat_nat F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F A)) C)))))))
% 19.22/19.43  (assume a7781 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (= (tptp.aa_rat_int F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F A)) C)))))))
% 19.22/19.43  (assume a7782 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (= (tptp.aa_num_rat F B2) C) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F A)) C)))))))
% 19.22/19.43  (assume a7783 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (= (tptp.aa_num_num F B2) C) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X3)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F A)) C)))))))
% 19.22/19.43  (assume a7784 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (= (tptp.aa_num_nat F B2) C) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X3)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F A)) C)))))))
% 19.22/19.43  (assume a7785 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (= (tptp.aa_num_int F B2) C) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X3)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F A)) C)))))))
% 19.22/19.43  (assume a7786 (forall ((A tptp.nat) (B2 tptp.nat) (F tptp.fun_nat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (= (tptp.aa_nat_rat F B2) C) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X3)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F A)) C)))))))
% 19.22/19.43  (assume a7787 (forall ((A tptp.nat) (B2 tptp.nat) (F tptp.fun_nat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (= (tptp.aa_nat_num F B2) C) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F X3)) (tptp.aa_nat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_nat_num F A)) C)))))))
% 19.22/19.43  (assume a7788 (forall ((X tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)))))
% 19.22/19.43  (assume a7789 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 19.22/19.43  (assume a7790 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 19.22/19.43  (assume a7791 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 19.22/19.43  (assume a7792 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat Y X) (= (tptp.ord_less_eq_set_nat X Y) (= X Y)))))
% 19.22/19.43  (assume a7793 (forall ((Y tptp.rat) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a7794 (forall ((Y tptp.num) (X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (= X Y)))))
% 19.22/19.43  (assume a7795 (forall ((Y tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a7796 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (= X Y)))))
% 19.22/19.43  (assume a7797 (forall ((X tptp.real)) (exists ((Y3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) X)))))
% 19.22/19.43  (assume a7798 (forall ((X tptp.rat)) (exists ((Y3 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y3) X)))))
% 19.22/19.43  (assume a7799 (forall ((X tptp.int)) (exists ((Y3 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y3) X)))))
% 19.22/19.43  (assume a7800 (forall ((X tptp.real)) (exists ((X_1 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) X_1)))))
% 19.22/19.43  (assume a7801 (forall ((X tptp.rat)) (exists ((X_1 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) X_1)))))
% 19.22/19.43  (assume a7802 (forall ((X tptp.nat)) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) X_1)))))
% 19.22/19.43  (assume a7803 (forall ((X tptp.int)) (exists ((X_1 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) X_1)))))
% 19.22/19.43  (assume a7804 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) Y)))))))
% 19.22/19.43  (assume a7805 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (exists ((Z2 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z2) Y)))))))
% 19.22/19.43  (assume a7806 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7807 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7808 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7809 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7810 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7811 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))))))
% 19.22/19.43  (assume a7812 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))))))
% 19.22/19.43  (assume a7813 (forall ((A tptp.num) (B2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A))))))
% 19.22/19.43  (assume a7814 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A))))))
% 19.22/19.43  (assume a7815 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A))))))
% 19.22/19.43  (assume a7816 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (= A B2) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 19.22/19.43  (assume a7817 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (= A B2) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 19.22/19.43  (assume a7818 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (= A B2) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 19.22/19.43  (assume a7819 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (= A B2) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 19.22/19.43  (assume a7820 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (= A B2) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 19.22/19.43  (assume a7821 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 19.22/19.43  (assume a7822 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 19.22/19.43  (assume a7823 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 19.22/19.43  (assume a7824 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 19.22/19.43  (assume a7825 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (= B2 C) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 19.22/19.43  (assume a7826 (forall ((P tptp.fun_nat_bool) (A tptp.nat)) (=> (forall ((X3 tptp.nat)) (=> (forall ((Y4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y4) X3)) (tptp.pp (tptp.aa_nat_bool P Y4)))) (tptp.pp (tptp.aa_nat_bool P X3)))) (tptp.pp (tptp.aa_nat_bool P A)))))
% 19.22/19.43  (assume a7827 (forall ((Y tptp.real) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (= X Y)))))
% 19.22/19.43  (assume a7828 (forall ((Y tptp.rat) (X tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (= X Y)))))
% 19.22/19.43  (assume a7829 (forall ((Y tptp.num) (X tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (= X Y)))))
% 19.22/19.43  (assume a7830 (forall ((Y tptp.nat) (X tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= X Y)))))
% 19.22/19.43  (assume a7831 (forall ((Y tptp.int) (X tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (= X Y)))))
% 19.22/19.43  (assume a7832 (forall ((X tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 19.22/19.43  (assume a7833 (forall ((X tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))))))
% 19.22/19.43  (assume a7834 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 19.22/19.43  (assume a7835 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 19.22/19.43  (assume a7836 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (=> (not (= X Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 19.22/19.43  (assume a7837 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.43  (assume a7838 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.22/19.43  (assume a7839 (forall ((B2 tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2))))))
% 19.22/19.43  (assume a7840 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))))))
% 19.22/19.43  (assume a7841 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.22/19.43  (assume a7842 (forall ((A tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) A)))))
% 19.22/19.43  (assume a7843 (forall ((A tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) A)))))
% 19.22/19.43  (assume a7844 (forall ((A tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) A)))))
% 19.22/19.43  (assume a7845 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) A)))))
% 19.22/19.43  (assume a7846 (forall ((A tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) A)))))
% 19.22/19.43  (assume a7847 (forall ((P tptp.fun_nat_bool)) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_13))) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool P N5)) (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M7) N5)) (not (tptp.pp (tptp.aa_nat_bool P M7))))))))))
% 19.22/19.43  (assume a7848 (forall ((P tptp.fun_re1255401033344146673l_bool) (A tptp.real) (B2 tptp.real)) (=> (forall ((A4 tptp.real) (B4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A4) B4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A4) B4)))) (=> (forall ((A4 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A4) A4))) (=> (forall ((A4 tptp.real) (B4 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P B4) A4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A4) B4)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool P A) B2)))))))
% 19.22/19.43  (assume a7849 (forall ((P tptp.fun_rat_fun_rat_bool) (A tptp.rat) (B2 tptp.rat)) (=> (forall ((A4 tptp.rat) (B4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A4) B4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A4) B4)))) (=> (forall ((A4 tptp.rat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A4) A4))) (=> (forall ((A4 tptp.rat) (B4 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P B4) A4)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A4) B4)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool P A) B2)))))))
% 19.22/19.43  (assume a7850 (forall ((P tptp.fun_num_fun_num_bool) (A tptp.num) (B2 tptp.num)) (=> (forall ((A4 tptp.num) (B4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A4) B4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A4) B4)))) (=> (forall ((A4 tptp.num)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A4) A4))) (=> (forall ((A4 tptp.num) (B4 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P B4) A4)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A4) B4)))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool P A) B2)))))))
% 19.22/19.43  (assume a7851 (forall ((P tptp.fun_nat_fun_nat_bool) (A tptp.nat) (B2 tptp.nat)) (=> (forall ((A4 tptp.nat) (B4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A4) B4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) B4)))) (=> (forall ((A4 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) A4))) (=> (forall ((A4 tptp.nat) (B4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P B4) A4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A4) B4)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P A) B2)))))))
% 19.22/19.43  (assume a7852 (forall ((P tptp.fun_int_fun_int_bool) (A tptp.int) (B2 tptp.int)) (=> (forall ((A4 tptp.int) (B4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A4) B4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A4) B4)))) (=> (forall ((A4 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A4) A4))) (=> (forall ((A4 tptp.int) (B4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P B4) A4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A4) B4)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A) B2)))))))
% 19.22/19.43  (assume a7853 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 19.22/19.43  (assume a7854 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 19.22/19.43  (assume a7855 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 19.22/19.43  (assume a7856 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 19.22/19.43  (assume a7857 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 19.22/19.43  (assume a7858 (forall ((X tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7859 (forall ((X tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7860 (forall ((X tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7861 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7862 (forall ((X tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)) (= X Y)))))
% 19.22/19.43  (assume a7863 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 19.22/19.43  (assume a7864 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 19.22/19.43  (assume a7865 (forall ((B2 tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 19.22/19.43  (assume a7866 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 19.22/19.43  (assume a7867 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 19.22/19.43  (assume a7868 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (not (= A B2)))))
% 19.22/19.43  (assume a7869 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (not (= A B2)))))
% 19.22/19.43  (assume a7870 (forall ((A tptp.num) (B2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (not (= A B2)))))
% 19.22/19.43  (assume a7871 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (not (= A B2)))))
% 19.22/19.43  (assume a7872 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (not (= A B2)))))
% 19.22/19.43  (assume a7873 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (not (= A B2)))))
% 19.22/19.43  (assume a7874 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (not (= A B2)))))
% 19.22/19.43  (assume a7875 (forall ((B2 tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (not (= A B2)))))
% 19.22/19.43  (assume a7876 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (not (= A B2)))))
% 19.22/19.43  (assume a7877 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (not (= A B2)))))
% 19.22/19.43  (assume a7878 (forall ((X tptp.real) (Y tptp.real)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 19.22/19.43  (assume a7879 (forall ((X tptp.rat) (Y tptp.rat)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))))))
% 19.22/19.43  (assume a7880 (forall ((X tptp.num) (Y tptp.num)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 19.22/19.43  (assume a7881 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 19.22/19.43  (assume a7882 (forall ((X tptp.int) (Y tptp.int)) (=> (not (= X Y)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 19.22/19.43  (assume a7883 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 19.22/19.43  (assume a7884 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))))))
% 19.22/19.43  (assume a7885 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 19.22/19.43  (assume a7886 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 19.22/19.43  (assume a7887 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 19.22/19.43  (assume a7888 (forall ((X tptp.real) (Y tptp.real)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 19.22/19.43  (assume a7889 (forall ((X tptp.rat) (Y tptp.rat)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))))))
% 19.22/19.43  (assume a7890 (forall ((X tptp.num) (Y tptp.num)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 19.22/19.43  (assume a7891 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 19.22/19.43  (assume a7892 (forall ((X tptp.int) (Y tptp.int)) (= (not (= X Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 19.22/19.43  (assume a7893 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A))))))
% 19.22/19.43  (assume a7894 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A))))))
% 19.22/19.43  (assume a7895 (forall ((A tptp.num) (B2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A))))))
% 19.22/19.43  (assume a7896 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A))))))
% 19.22/19.43  (assume a7897 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A))))))
% 19.22/19.43  (assume a7898 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z))))))
% 19.22/19.43  (assume a7899 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z))))))
% 19.22/19.43  (assume a7900 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z))))))
% 19.22/19.43  (assume a7901 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z))))))
% 19.22/19.43  (assume a7902 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z))))))
% 19.22/19.43  (assume a7903 (forall ((A tptp.real) (F tptp.fun_real_real) (B2 tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_real F B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X3)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 19.22/19.43  (assume a7904 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B2 tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_rat F B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X3)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 19.22/19.43  (assume a7905 (forall ((A tptp.num) (F tptp.fun_real_num) (B2 tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_num F B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X3)) (tptp.aa_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_real_num F C))))))))
% 19.22/19.43  (assume a7906 (forall ((A tptp.nat) (F tptp.fun_real_nat) (B2 tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_nat F B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X3)) (tptp.aa_real_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_real_nat F C))))))))
% 19.22/19.43  (assume a7907 (forall ((A tptp.int) (F tptp.fun_real_int) (B2 tptp.real) (C tptp.real)) (=> (= A (tptp.aa_real_int F B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X3)) (tptp.aa_real_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_real_int F C))))))))
% 19.22/19.43  (assume a7908 (forall ((A tptp.real) (F tptp.fun_rat_real) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_real F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 19.22/19.43  (assume a7909 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_rat F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 19.22/19.43  (assume a7910 (forall ((A tptp.num) (F tptp.fun_rat_num) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_num F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F C))))))))
% 19.22/19.43  (assume a7911 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_nat F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F C))))))))
% 19.22/19.43  (assume a7912 (forall ((A tptp.int) (F tptp.fun_rat_int) (B2 tptp.rat) (C tptp.rat)) (=> (= A (tptp.aa_rat_int F B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F C))))))))
% 19.22/19.43  (assume a7913 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= (tptp.aa_real_real F B2) C) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X3)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 19.22/19.43  (assume a7914 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= (tptp.aa_real_rat F B2) C) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X3)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 19.22/19.43  (assume a7915 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= (tptp.aa_real_num F B2) C) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X3)) (tptp.aa_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 19.22/19.43  (assume a7916 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= (tptp.aa_real_nat F B2) C) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X3)) (tptp.aa_real_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 19.22/19.43  (assume a7917 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= (tptp.aa_real_int F B2) C) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X3)) (tptp.aa_real_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 19.22/19.43  (assume a7918 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (= (tptp.aa_rat_real F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 19.22/19.43  (assume a7919 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (= (tptp.aa_rat_rat F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 19.22/19.43  (assume a7920 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (= (tptp.aa_rat_num F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 19.22/19.43  (assume a7921 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (= (tptp.aa_rat_nat F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 19.22/19.43  (assume a7922 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (= (tptp.aa_rat_int F B2) C) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 19.22/19.43  (assume a7923 (forall ((X tptp.real)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) X)))))
% 19.22/19.43  (assume a7924 (forall ((X tptp.rat)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) X)))))
% 19.22/19.43  (assume a7925 (forall ((X tptp.num)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) X)))))
% 19.22/19.43  (assume a7926 (forall ((X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) X)))))
% 19.22/19.43  (assume a7927 (forall ((X tptp.int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) X)))))
% 19.22/19.43  (assume a7928 (forall ((A tptp.real) (F tptp.fun_real_real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X3)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 19.22/19.43  (assume a7929 (forall ((A tptp.real) (F tptp.fun_rat_real) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 19.22/19.43  (assume a7930 (forall ((A tptp.real) (F tptp.fun_num_real) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X3)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 19.22/19.43  (assume a7931 (forall ((A tptp.real) (F tptp.fun_nat_real) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X3)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 19.22/19.43  (assume a7932 (forall ((A tptp.real) (F tptp.fun_int_real) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X3)) (tptp.aa_int_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 19.22/19.43  (assume a7933 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X3)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 19.22/19.43  (assume a7934 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 19.22/19.43  (assume a7935 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 19.22/19.43  (assume a7936 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X3)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F C))))))))
% 19.22/19.43  (assume a7937 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X3)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F C))))))))
% 19.22/19.43  (assume a7938 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F B2)) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X3)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 19.22/19.43  (assume a7939 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F B2)) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X3)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 19.22/19.43  (assume a7940 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F B2)) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F X3)) (tptp.aa_real_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_real_num F A)) C)))))))
% 19.22/19.43  (assume a7941 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F B2)) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F X3)) (tptp.aa_real_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_real_nat F A)) C)))))))
% 19.22/19.43  (assume a7942 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F B2)) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F X3)) (tptp.aa_real_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_real_int F A)) C)))))))
% 19.22/19.43  (assume a7943 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 19.22/19.43  (assume a7944 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 19.22/19.43  (assume a7945 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 19.22/19.43  (assume a7946 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 19.22/19.43  (assume a7947 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 19.22/19.43  (assume a7948 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 19.22/19.43  (assume a7949 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))))))
% 19.22/19.43  (assume a7950 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 19.22/19.43  (assume a7951 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 19.22/19.43  (assume a7952 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 19.22/19.43  (assume a7953 (forall ((X tptp.real) (Y tptp.real) (P tptp.bool)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)) (tptp.pp P)))))
% 19.22/19.43  (assume a7954 (forall ((X tptp.rat) (Y tptp.rat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X)) (tptp.pp P)))))
% 19.22/19.43  (assume a7955 (forall ((X tptp.num) (Y tptp.num) (P tptp.bool)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)) (tptp.pp P)))))
% 19.22/19.43  (assume a7956 (forall ((X tptp.nat) (Y tptp.nat) (P tptp.bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (tptp.pp P)))))
% 19.22/19.43  (assume a7957 (forall ((X tptp.int) (Y tptp.int) (P tptp.bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)) (tptp.pp P)))))
% 19.22/19.43  (assume a7958 (forall ((X tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))
% 19.22/19.43  (assume a7959 (forall ((X tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (= X Y) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X)))))
% 19.22/19.43  (assume a7960 (forall ((X tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (= X Y) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)))))
% 19.22/19.43  (assume a7961 (forall ((X tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= X Y) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)))))
% 19.22/19.43  (assume a7962 (forall ((X tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (= X Y) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)))))
% 19.22/19.43  (assume a7963 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7964 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7965 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7966 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7967 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (= X Y)))))
% 19.22/19.43  (assume a7968 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (= Y X)))))
% 19.22/19.43  (assume a7969 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (not (= Y X)))))
% 19.22/19.43  (assume a7970 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (= Y X)))))
% 19.22/19.43  (assume a7971 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (= Y X)))))
% 19.22/19.43  (assume a7972 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (= Y X)))))
% 19.22/19.43  (assume a7973 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X))))))
% 19.22/19.43  (assume a7974 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X))))))
% 19.22/19.43  (assume a7975 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X))))))
% 19.22/19.43  (assume a7976 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X))))))
% 19.22/19.43  (assume a7977 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X))))))
% 19.22/19.43  (assume a7978 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) A)))))
% 19.22/19.43  (assume a7979 (forall ((N tptp.num)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.inc N))) (tptp.bit_ri7632146776885996613nteger (tptp.numera6620942414471956472nteger N)))))
% 19.22/19.43  (assume a7980 (forall ((N tptp.num)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.43  (assume a7981 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) K) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int))))))
% 19.22/19.43  (assume a7982 (forall ((K tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a7983 (forall ((K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))))))
% 19.22/19.43  (assume a7984 (forall ((N tptp.num)) (= (tptp.bit_ri7632146776885996613nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 N))))))
% 19.22/19.43  (assume a7985 (forall ((N tptp.num)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))))))
% 19.22/19.43  (assume a7986 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int)))
% 19.22/19.43  (assume a7987 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M)))))
% 19.22/19.43  (assume a7988 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.uminus_uminus_int K)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int K) tptp.one_one_int))) N)))))
% 19.22/19.43  (assume a7989 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N))) tptp.zero_zero_int))))
% 19.22/19.43  (assume a7990 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se545348938243370406it_int M) (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int M))))))
% 19.22/19.43  (assume a7991 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se4203085406695923979it_int N) A) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int A) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int))))))
% 19.22/19.43  (assume a7992 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.43  (assume a7993 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M)))))
% 19.22/19.43  (assume a7994 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.zero_zero_int)))
% 19.22/19.43  (assume a7995 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.43  (assume a7996 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.43  (assume a7997 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int A)) N)) (and (not (= (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N) tptp.zero_zero_int)) (not (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int A) N)))))))
% 19.22/19.43  (assume a7998 (forall ((N tptp.nat)) (= (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.power_8256067586552552935nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)) N)) (tptp.bit_ri7632146776885996613nteger (tptp.bit_se2119862282449309892nteger N)))))
% 19.22/19.43  (assume a7999 (forall ((N tptp.nat)) (= (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_nat_int tptp.bit_se2000444600071755411sk_int N)))))
% 19.22/19.43  (assume a8000 (forall ((X5 tptp.fun_nat_complex) (E tptp.real)) (=> (tptp.topolo6517432010174082258omplex X5) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (exists ((M9 tptp.nat)) (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) M5)) (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) N6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex X5 M5)) (tptp.aa_nat_complex X5 N6)))) E)))))))))))
% 19.22/19.43  (assume a8001 (forall ((X5 tptp.fun_nat_real) (E tptp.real)) (=> (tptp.topolo4055970368930404560y_real X5) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E)) (exists ((M9 tptp.nat)) (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) M5)) (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M9) N6)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real X5 M5)) (tptp.aa_nat_real X5 N6)))) E)))))))))))
% 19.22/19.43  (assume a8002 (forall ((X5 tptp.fun_nat_complex)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (exists ((M10 tptp.nat)) (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M10) M4)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M10) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex X5 M4)) (tptp.aa_nat_complex X5 N3)))) E2))))))))) (tptp.topolo6517432010174082258omplex X5))))
% 19.22/19.43  (assume a8003 (forall ((X5 tptp.fun_nat_real)) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (exists ((M10 tptp.nat)) (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M10) M4)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M10) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real X5 M4)) (tptp.aa_nat_real X5 N3)))) E2))))))))) (tptp.topolo4055970368930404560y_real X5))))
% 19.22/19.43  (assume a8004 (forall ((X5 tptp.fun_nat_complex)) (= (tptp.topolo6517432010174082258omplex X5) (forall ((E3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E3)) (exists ((M8 tptp.nat)) (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) M7)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) N5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_nat_complex X5 M7)) (tptp.aa_nat_complex X5 N5)))) E3))))))))))))
% 19.22/19.43  (assume a8005 (forall ((X5 tptp.fun_nat_real)) (= (tptp.topolo4055970368930404560y_real X5) (forall ((E3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E3)) (exists ((M8 tptp.nat)) (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) M7)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M8) N5)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real X5 M7)) (tptp.aa_nat_real X5 N5)))) E3))))))))))))
% 19.22/19.43  (assume a8006 (forall ((Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 19.22/19.43  (assume a8007 (forall ((Y tptp.set_nat) (X tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat Y X) (not (tptp.ord_less_set_nat X Y)))))
% 19.22/19.43  (assume a8008 (forall ((Y tptp.rat) (X tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))))))
% 19.22/19.43  (assume a8009 (forall ((Y tptp.num) (X tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))))))
% 19.22/19.43  (assume a8010 (forall ((Y tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))))))
% 19.22/19.43  (assume a8011 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))))))
% 19.22/19.43  (assume a8012 (forall ((X tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))
% 19.22/19.43  (assume a8013 (forall ((X tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)))))
% 19.22/19.43  (assume a8014 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 19.22/19.43  (assume a8015 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 19.22/19.43  (assume a8016 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 19.22/19.43  (assume a8017 (forall ((A tptp.real) (B2 tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (= A B2)))))
% 19.22/19.43  (assume a8018 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (not (tptp.ord_less_set_nat A B2)) (or (not (tptp.ord_less_eq_set_nat A B2)) (= A B2)))))
% 19.22/19.43  (assume a8019 (forall ((A tptp.rat) (B2 tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (= A B2)))))
% 19.22/19.43  (assume a8020 (forall ((A tptp.num) (B2 tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2))) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))) (= A B2)))))
% 19.22/19.43  (assume a8021 (forall ((A tptp.nat) (B2 tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (= A B2)))))
% 19.22/19.43  (assume a8022 (forall ((A tptp.int) (B2 tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))) (= A B2)))))
% 19.22/19.43  (assume a8023 (forall ((X tptp.real) (Y tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8024 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (not (tptp.ord_less_set_nat X Y)) (= (tptp.ord_less_eq_set_nat X Y) (= X Y)))))
% 19.22/19.43  (assume a8025 (forall ((X tptp.rat) (Y tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8026 (forall ((X tptp.num) (Y tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8027 (forall ((X tptp.nat) (Y tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8028 (forall ((X tptp.int) (Y tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8029 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (= X Y)))))
% 19.22/19.43  (assume a8030 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat X Y) (= (not (tptp.ord_less_set_nat X Y)) (= X Y)))))
% 19.22/19.43  (assume a8031 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (= X Y)))))
% 19.22/19.43  (assume a8032 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (= X Y)))))
% 19.22/19.43  (assume a8033 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= X Y)))))
% 19.22/19.43  (assume a8034 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (= X Y)))))
% 19.22/19.43  (assume a8035 (forall ((Z tptp.real) (Y tptp.real)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)))))
% 19.22/19.43  (assume a8036 (forall ((Z tptp.rat) (Y tptp.rat)) (=> (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) X3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X3)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))))
% 19.22/19.43  (assume a8037 (forall ((Y tptp.real) (Z tptp.real)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) Z)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)))))
% 19.22/19.43  (assume a8038 (forall ((Y tptp.rat) (Z tptp.rat)) (=> (forall ((X3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Z)))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)))))
% 19.22/19.43  (assume a8039 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))))
% 19.22/19.43  (assume a8040 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.ord_less_set_nat X Y) (and (tptp.ord_less_eq_set_nat X Y) (not (tptp.ord_less_eq_set_nat Y X))))))
% 19.22/19.43  (assume a8041 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)))))))
% 19.22/19.43  (assume a8042 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))))
% 19.22/19.43  (assume a8043 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))))
% 19.22/19.43  (assume a8044 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))))
% 19.22/19.43  (assume a8045 (forall ((Y tptp.real) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)))))
% 19.22/19.43  (assume a8046 (forall ((Y tptp.rat) (X tptp.rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)))))
% 19.22/19.43  (assume a8047 (forall ((Y tptp.num) (X tptp.num)) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)))))
% 19.22/19.43  (assume a8048 (forall ((Y tptp.nat) (X tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)))))
% 19.22/19.43  (assume a8049 (forall ((Y tptp.int) (X tptp.int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)))))
% 19.22/19.43  (assume a8050 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (= A B2)))))
% 19.22/19.43  (assume a8051 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.ord_less_eq_set_nat A B2) (or (tptp.ord_less_set_nat A B2) (= A B2)))))
% 19.22/19.43  (assume a8052 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (= A B2)))))
% 19.22/19.43  (assume a8053 (forall ((A tptp.num) (B2 tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (= A B2)))))
% 19.22/19.43  (assume a8054 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (= A B2)))))
% 19.22/19.43  (assume a8055 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (= A B2)))))
% 19.22/19.43  (assume a8056 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (not (= A B2))))))
% 19.22/19.43  (assume a8057 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.ord_less_set_nat A B2) (and (tptp.ord_less_eq_set_nat A B2) (not (= A B2))))))
% 19.22/19.43  (assume a8058 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (not (= A B2))))))
% 19.22/19.43  (assume a8059 (forall ((A tptp.num) (B2 tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (not (= A B2))))))
% 19.22/19.43  (assume a8060 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (not (= A B2))))))
% 19.22/19.43  (assume a8061 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (not (= A B2))))))
% 19.22/19.43  (assume a8062 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 19.22/19.43  (assume a8063 (forall ((A tptp.set_nat) (B2 tptp.set_nat) (C tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A B2) (=> (tptp.ord_less_set_nat B2 C) (tptp.ord_less_set_nat A C)))))
% 19.22/19.43  (assume a8064 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 19.22/19.43  (assume a8065 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 19.22/19.43  (assume a8066 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 19.22/19.43  (assume a8067 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 19.22/19.43  (assume a8068 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C))))))
% 19.22/19.43  (assume a8069 (forall ((A tptp.set_nat) (B2 tptp.set_nat) (C tptp.set_nat)) (=> (tptp.ord_less_set_nat A B2) (=> (tptp.ord_less_eq_set_nat B2 C) (tptp.ord_less_set_nat A C)))))
% 19.22/19.43  (assume a8070 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) C))))))
% 19.22/19.43  (assume a8071 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) C))))))
% 19.22/19.43  (assume a8072 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) C)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) C))))))
% 19.22/19.43  (assume a8073 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) C)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) C))))))
% 19.22/19.43  (assume a8074 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))))
% 19.22/19.43  (assume a8075 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (tptp.ord_less_set_nat A B2) (and (tptp.ord_less_eq_set_nat A B2) (not (tptp.ord_less_eq_set_nat B2 A))))))
% 19.22/19.43  (assume a8076 (forall ((A tptp.rat) (B2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))))
% 19.22/19.43  (assume a8077 (forall ((A tptp.num) (B2 tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)))))))
% 19.22/19.43  (assume a8078 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))))
% 19.22/19.43  (assume a8079 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)))))))
% 19.22/19.43  (assume a8080 (forall ((Z tptp.real) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) X)) (=> (forall ((W2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) W2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W2) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) W2))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z))))))
% 19.22/19.43  (assume a8081 (forall ((Z tptp.rat) (X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) X)) (=> (forall ((W2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Z) W2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W2) X)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) W2))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z))))))
% 19.22/19.43  (assume a8082 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (forall ((W2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) W2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real W2) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real W2) Z))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z))))))
% 19.22/19.43  (assume a8083 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (=> (forall ((W2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) W2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat W2) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat W2) Z))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z))))))
% 19.22/19.43  (assume a8084 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (= A B2)))))
% 19.22/19.43  (assume a8085 (forall ((B2 tptp.set_nat) (A tptp.set_nat)) (= (tptp.ord_less_eq_set_nat B2 A) (or (tptp.ord_less_set_nat B2 A) (= A B2)))))
% 19.22/19.43  (assume a8086 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (= A B2)))))
% 19.22/19.43  (assume a8087 (forall ((B2 tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (= A B2)))))
% 19.22/19.43  (assume a8088 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (= A B2)))))
% 19.22/19.43  (assume a8089 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (= A B2)))))
% 19.22/19.43  (assume a8090 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (not (= A B2))))))
% 19.22/19.43  (assume a8091 (forall ((B2 tptp.set_nat) (A tptp.set_nat)) (= (tptp.ord_less_set_nat B2 A) (and (tptp.ord_less_eq_set_nat B2 A) (not (= A B2))))))
% 19.22/19.43  (assume a8092 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (not (= A B2))))))
% 19.22/19.43  (assume a8093 (forall ((B2 tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (not (= A B2))))))
% 19.22/19.43  (assume a8094 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (not (= A B2))))))
% 19.22/19.43  (assume a8095 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (not (= A B2))))))
% 19.22/19.43  (assume a8096 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 19.22/19.43  (assume a8097 (forall ((B2 tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat B2 A) (=> (tptp.ord_less_set_nat C B2) (tptp.ord_less_set_nat C A)))))
% 19.22/19.43  (assume a8098 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 19.22/19.43  (assume a8099 (forall ((B2 tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 19.22/19.43  (assume a8100 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 19.22/19.43  (assume a8101 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 19.22/19.43  (assume a8102 (forall ((B2 tptp.real) (A tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A))))))
% 19.22/19.43  (assume a8103 (forall ((B2 tptp.set_nat) (A tptp.set_nat) (C tptp.set_nat)) (=> (tptp.ord_less_set_nat B2 A) (=> (tptp.ord_less_eq_set_nat C B2) (tptp.ord_less_set_nat C A)))))
% 19.22/19.43  (assume a8104 (forall ((B2 tptp.rat) (A tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A))))))
% 19.22/19.43  (assume a8105 (forall ((B2 tptp.num) (A tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A))))))
% 19.22/19.43  (assume a8106 (forall ((B2 tptp.nat) (A tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A))))))
% 19.22/19.43  (assume a8107 (forall ((B2 tptp.int) (A tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A))))))
% 19.22/19.43  (assume a8108 (forall ((B2 tptp.real) (A tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))))
% 19.22/19.43  (assume a8109 (forall ((B2 tptp.set_nat) (A tptp.set_nat)) (= (tptp.ord_less_set_nat B2 A) (and (tptp.ord_less_eq_set_nat B2 A) (not (tptp.ord_less_eq_set_nat A B2))))))
% 19.22/19.43  (assume a8110 (forall ((B2 tptp.rat) (A tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))))
% 19.22/19.43  (assume a8111 (forall ((B2 tptp.num) (A tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)))))))
% 19.22/19.43  (assume a8112 (forall ((B2 tptp.nat) (A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)))))))
% 19.22/19.43  (assume a8113 (forall ((B2 tptp.int) (A tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))))
% 19.22/19.43  (assume a8114 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)))))
% 19.22/19.43  (assume a8115 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.ord_less_set_nat A B2) (tptp.ord_less_eq_set_nat A B2))))
% 19.22/19.43  (assume a8116 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)))))
% 19.22/19.43  (assume a8117 (forall ((A tptp.num) (B2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)))))
% 19.22/19.43  (assume a8118 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)))))
% 19.22/19.43  (assume a8119 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)))))
% 19.22/19.43  (assume a8120 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) A)))))
% 19.22/19.43  (assume a8121 (forall ((B2 tptp.set_nat) (A tptp.set_nat)) (=> (tptp.ord_less_set_nat B2 A) (tptp.ord_less_eq_set_nat B2 A))))
% 19.22/19.43  (assume a8122 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) A)))))
% 19.22/19.43  (assume a8123 (forall ((B2 tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) A)))))
% 19.22/19.43  (assume a8124 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))
% 19.22/19.43  (assume a8125 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A)))))
% 19.22/19.43  (assume a8126 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8127 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.ord_less_eq_set_nat X Y) (or (tptp.ord_less_set_nat X Y) (= X Y)))))
% 19.22/19.43  (assume a8128 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8129 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8130 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8131 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8132 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (not (= X Y))))))
% 19.22/19.43  (assume a8133 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (tptp.ord_less_set_nat X Y) (and (tptp.ord_less_eq_set_nat X Y) (not (= X Y))))))
% 19.22/19.43  (assume a8134 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (not (= X Y))))))
% 19.22/19.43  (assume a8135 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (not (= X Y))))))
% 19.22/19.43  (assume a8136 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (not (= X Y))))))
% 19.22/19.43  (assume a8137 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (not (= X Y))))))
% 19.22/19.43  (assume a8138 (forall ((X tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))
% 19.22/19.43  (assume a8139 (forall ((X tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X)))))
% 19.22/19.43  (assume a8140 (forall ((X tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)))))
% 19.22/19.43  (assume a8141 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)))))
% 19.22/19.43  (assume a8142 (forall ((X tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)))))
% 19.22/19.43  (assume a8143 (forall ((X tptp.real) (Y tptp.real)) (= (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) X)))))
% 19.22/19.43  (assume a8144 (forall ((X tptp.rat) (Y tptp.rat)) (= (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) X)))))
% 19.22/19.43  (assume a8145 (forall ((X tptp.num) (Y tptp.num)) (= (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) X)))))
% 19.22/19.43  (assume a8146 (forall ((X tptp.nat) (Y tptp.nat)) (= (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X)))))
% 19.22/19.43  (assume a8147 (forall ((X tptp.int) (Y tptp.int)) (= (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) X)))))
% 19.22/19.43  (assume a8148 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)))))
% 19.22/19.43  (assume a8149 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.ord_less_set_nat X Y) (tptp.ord_less_eq_set_nat X Y))))
% 19.22/19.43  (assume a8150 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)))))
% 19.22/19.43  (assume a8151 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)))))
% 19.22/19.43  (assume a8152 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)))))
% 19.22/19.43  (assume a8153 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)))))
% 19.22/19.43  (assume a8154 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (not (= A B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.43  (assume a8155 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A B2) (=> (not (= A B2)) (tptp.ord_less_set_nat A B2)))))
% 19.22/19.43  (assume a8156 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (not (= A B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.22/19.43  (assume a8157 (forall ((A tptp.num) (B2 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (not (= A B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2))))))
% 19.22/19.43  (assume a8158 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (not (= A B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))))))
% 19.22/19.43  (assume a8159 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (=> (not (= A B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.22/19.43  (assume a8160 (forall ((A tptp.real) (B2 tptp.real)) (=> (not (= A B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2))))))
% 19.22/19.43  (assume a8161 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (=> (not (= A B2)) (=> (tptp.ord_less_eq_set_nat A B2) (tptp.ord_less_set_nat A B2)))))
% 19.22/19.43  (assume a8162 (forall ((A tptp.rat) (B2 tptp.rat)) (=> (not (= A B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2))))))
% 19.22/19.43  (assume a8163 (forall ((A tptp.num) (B2 tptp.num)) (=> (not (= A B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2))))))
% 19.22/19.43  (assume a8164 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2))))))
% 19.22/19.43  (assume a8165 (forall ((A tptp.int) (B2 tptp.int)) (=> (not (= A B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.22/19.43  (assume a8166 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z))))))
% 19.22/19.43  (assume a8167 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat X Y) (=> (tptp.ord_less_set_nat Y Z) (tptp.ord_less_set_nat X Z)))))
% 19.22/19.43  (assume a8168 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z))))))
% 19.22/19.43  (assume a8169 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z))))))
% 19.22/19.43  (assume a8170 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z))))))
% 19.22/19.43  (assume a8171 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z))))))
% 19.22/19.43  (assume a8172 (forall ((X tptp.real) (Y tptp.real) (Z tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y) Z)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Z))))))
% 19.22/19.43  (assume a8173 (forall ((X tptp.set_nat) (Y tptp.set_nat) (Z tptp.set_nat)) (=> (tptp.ord_less_set_nat X Y) (=> (tptp.ord_less_eq_set_nat Y Z) (tptp.ord_less_set_nat X Z)))))
% 19.22/19.43  (assume a8174 (forall ((X tptp.rat) (Y tptp.rat) (Z tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat Y) Z)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Z))))))
% 19.22/19.43  (assume a8175 (forall ((X tptp.num) (Y tptp.num) (Z tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num Y) Z)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Z))))))
% 19.22/19.43  (assume a8176 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z))))))
% 19.22/19.43  (assume a8177 (forall ((X tptp.int) (Y tptp.int) (Z tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Y) Z)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Z))))))
% 19.22/19.43  (assume a8178 (forall ((A tptp.real) (F tptp.fun_real_real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_real_real F B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X3)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_real_real F C))))))))
% 19.22/19.43  (assume a8179 (forall ((A tptp.real) (F tptp.fun_rat_real) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_rat_real F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 19.22/19.43  (assume a8180 (forall ((A tptp.real) (F tptp.fun_num_real) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_num_real F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X3)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 19.22/19.43  (assume a8181 (forall ((A tptp.real) (F tptp.fun_nat_real) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_nat_real F B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X3)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_nat_real F C))))))))
% 19.22/19.43  (assume a8182 (forall ((A tptp.real) (F tptp.fun_int_real) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) (tptp.aa_int_real F B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X3)) (tptp.aa_int_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_int_real F C))))))))
% 19.22/19.43  (assume a8183 (forall ((A tptp.rat) (F tptp.fun_real_rat) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_real_rat F B2))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X3)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_real_rat F C))))))))
% 19.22/19.43  (assume a8184 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_rat_rat F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 19.22/19.43  (assume a8185 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_num_rat F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 19.22/19.43  (assume a8186 (forall ((A tptp.rat) (F tptp.fun_nat_rat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_nat_rat F B2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X3)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_nat_rat F C))))))))
% 19.22/19.43  (assume a8187 (forall ((A tptp.rat) (F tptp.fun_int_rat) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) (tptp.aa_int_rat F B2))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X3)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_int_rat F C))))))))
% 19.22/19.43  (assume a8188 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 19.22/19.43  (assume a8189 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 19.22/19.43  (assume a8190 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_rat_num F A)) C)))))))
% 19.22/19.43  (assume a8191 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_rat_nat F A)) C)))))))
% 19.22/19.43  (assume a8192 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_rat_int F A)) C)))))))
% 19.22/19.43  (assume a8193 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F X3)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 19.22/19.43  (assume a8194 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F A)) C)))))))
% 19.22/19.43  (assume a8195 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X3)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num (tptp.aa_num_num F A)) C)))))))
% 19.22/19.43  (assume a8196 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X3)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat F A)) C)))))))
% 19.22/19.43  (assume a8197 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_int) (C tptp.int)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X3)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_num_int F A)) C)))))))
% 19.22/19.43  (assume a8198 (forall ((A tptp.real) (F tptp.fun_rat_real) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_rat_real F C))))))))
% 19.22/19.43  (assume a8199 (forall ((A tptp.rat) (F tptp.fun_rat_rat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_rat_rat F C))))))))
% 19.22/19.43  (assume a8200 (forall ((A tptp.num) (F tptp.fun_rat_num) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_rat_num F X3)) (tptp.aa_rat_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_rat_num F C))))))))
% 19.22/19.43  (assume a8201 (forall ((A tptp.nat) (F tptp.fun_rat_nat) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_rat_nat F X3)) (tptp.aa_rat_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_rat_nat F C))))))))
% 19.22/19.43  (assume a8202 (forall ((A tptp.int) (F tptp.fun_rat_int) (B2 tptp.rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F B2))) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_rat_int F X3)) (tptp.aa_rat_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_rat_int F C))))))))
% 19.22/19.43  (assume a8203 (forall ((A tptp.real) (F tptp.fun_num_real) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F X3)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) (tptp.aa_num_real F C))))))))
% 19.22/19.43  (assume a8204 (forall ((A tptp.rat) (F tptp.fun_num_rat) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) (tptp.aa_num_rat F C))))))))
% 19.22/19.43  (assume a8205 (forall ((A tptp.num) (F tptp.fun_num_num) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_num_num F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num (tptp.aa_num_num F X3)) (tptp.aa_num_num F Y3))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) (tptp.aa_num_num F C))))))))
% 19.22/19.43  (assume a8206 (forall ((A tptp.nat) (F tptp.fun_num_nat) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_num_nat F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat F X3)) (tptp.aa_num_nat F Y3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) (tptp.aa_num_nat F C))))))))
% 19.22/19.43  (assume a8207 (forall ((A tptp.int) (F tptp.fun_num_int) (B2 tptp.num) (C tptp.num)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_num_int F B2))) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X3) Y3)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int F X3)) (tptp.aa_num_int F Y3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) (tptp.aa_num_int F C))))))))
% 19.22/19.43  (assume a8208 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F B2)) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X3)) (tptp.aa_real_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) C)))))))
% 19.22/19.43  (assume a8209 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F X3)) (tptp.aa_rat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real F A)) C)))))))
% 19.22/19.43  (assume a8210 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_num_real F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F X3)) (tptp.aa_num_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_num_real F A)) C)))))))
% 19.22/19.43  (assume a8211 (forall ((A tptp.nat) (B2 tptp.nat) (F tptp.fun_nat_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F B2)) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F X3)) (tptp.aa_nat_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real F A)) C)))))))
% 19.22/19.43  (assume a8212 (forall ((A tptp.int) (B2 tptp.int) (F tptp.fun_int_real) (C tptp.real)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F B2)) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F X3)) (tptp.aa_int_real F Y3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_int_real F A)) C)))))))
% 19.22/19.43  (assume a8213 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F B2)) C)) (=> (forall ((X3 tptp.real) (Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F X3)) (tptp.aa_real_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_real_rat F A)) C)))))))
% 19.22/19.43  (assume a8214 (forall ((A tptp.rat) (B2 tptp.rat) (F tptp.fun_rat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_rat_rat F B2)) C)) (=> (forall ((X3 tptp.rat) (Y3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F X3)) (tptp.aa_rat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat F A)) C)))))))
% 19.22/19.43  (assume a8215 (forall ((A tptp.num) (B2 tptp.num) (F tptp.fun_num_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_num_rat F B2)) C)) (=> (forall ((X3 tptp.num) (Y3 tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F X3)) (tptp.aa_num_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_num_rat F A)) C)))))))
% 19.22/19.43  (assume a8216 (forall ((A tptp.nat) (B2 tptp.nat) (F tptp.fun_nat_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F B2)) C)) (=> (forall ((X3 tptp.nat) (Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F X3)) (tptp.aa_nat_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_nat_rat F A)) C)))))))
% 19.22/19.43  (assume a8217 (forall ((A tptp.int) (B2 tptp.int) (F tptp.fun_int_rat) (C tptp.rat)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F B2)) C)) (=> (forall ((X3 tptp.int) (Y3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Y3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F X3)) (tptp.aa_int_rat F Y3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat F A)) C)))))))
% 19.22/19.43  (assume a8218 (forall ((X tptp.real) (Y tptp.real)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y) X)))))
% 19.22/19.43  (assume a8219 (forall ((X tptp.rat) (Y tptp.rat)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Y) X)))))
% 19.22/19.43  (assume a8220 (forall ((X tptp.num) (Y tptp.num)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num Y) X)))))
% 19.22/19.43  (assume a8221 (forall ((X tptp.nat) (Y tptp.nat)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)))))
% 19.22/19.43  (assume a8222 (forall ((X tptp.int) (Y tptp.int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) X)))))
% 19.22/19.43  (assume a8223 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8224 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat X Y) (or (tptp.ord_less_set_nat X Y) (= X Y)))))
% 19.22/19.43  (assume a8225 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8226 (forall ((X tptp.num) (Y tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num X) Y)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8227 (forall ((X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8228 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Y)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Y)) (= X Y)))))
% 19.22/19.43  (assume a8229 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 19.22/19.43  (assume a8230 (forall ((K tptp.int)) (= (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.43  (assume a8231 (=> (not (= tptp.mi tptp.ma)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.ma) tptp.na) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.ma) tptp.na)))) (forall ((X4 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X4) tptp.na) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X4) tptp.na)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.mi) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) tptp.ma))))))))))
% 19.22/19.43  (assume a8232 (or (= tptp.za tptp.mi) (= tptp.za tptp.ma) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT tptp.treeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.43  (assume a8233 (=> (= tptp.za tptp.ma) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.43  (assume a8234 (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.43  (assume a8235 (not (exists ((U2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) U2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) U2))))))
% 19.22/19.43  (assume a8236 (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList tptp.sc)) X_1))))
% 19.22/19.43  (assume a8237 (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a8238 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a8239 (=> (= tptp.za tptp.ma) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.43  (assume a8240 (forall ((Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_VEBT_VEBT)) (=> (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I3) (tptp.nth_VEBT_VEBT Ys2 I3)))) (= Xs Ys2)))))
% 19.22/19.43  (assume a8241 (forall ((Xs tptp.list_bool) (Ys2 tptp.list_bool)) (=> (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I3)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Ys2) I3))))) (= Xs Ys2)))))
% 19.22/19.43  (assume a8242 (forall ((Xs tptp.list_nat) (Ys2 tptp.list_nat)) (=> (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I3) (tptp.aa_nat_nat (tptp.nth_nat Ys2) I3)))) (= Xs Ys2)))))
% 19.22/19.43  (assume a8243 (forall ((Xs tptp.list_int) (Ys2 tptp.list_int)) (=> (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys2)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I3) (tptp.aa_nat_int (tptp.nth_int Ys2) I3)))) (= Xs Ys2)))))
% 19.22/19.43  (assume a8244 (forall ((K tptp.nat) (P tptp.fun_na2351039247863542899T_bool)) (= (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (exists ((X_13 tptp.vEBT_VEBT)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_nat8029987864780243636T_bool P I2) X_13))))) (exists ((Xs3 tptp.list_VEBT_VEBT)) (and (= (tptp.size_s6755466524823107622T_VEBT Xs3) K) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aa_nat8029987864780243636T_bool P I2) (tptp.nth_VEBT_VEBT Xs3 I2))))))))))
% 19.22/19.43  (assume a8245 (forall ((K tptp.nat) (P tptp.fun_na9137082442855928016l_bool)) (= (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (exists ((X_13 tptp.bool)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_nat_fun_bool_bool P I2) X_13))))) (exists ((Xs3 tptp.list_bool)) (and (= (tptp.size_size_list_bool Xs3) K) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_nat_fun_bool_bool P I2) (tptp.aa_nat_bool (tptp.nth_bool Xs3) I2))))))))))
% 19.22/19.43  (assume a8246 (forall ((K tptp.nat) (P tptp.fun_nat_fun_nat_bool)) (= (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I2) X_13))))) (exists ((Xs3 tptp.list_nat)) (and (= (tptp.size_size_list_nat Xs3) K) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool P I2) (tptp.aa_nat_nat (tptp.nth_nat Xs3) I2))))))))))
% 19.22/19.43  (assume a8247 (forall ((K tptp.nat) (P tptp.fun_nat_fun_int_bool)) (= (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool P I2) X_13))))) (exists ((Xs3 tptp.list_int)) (and (= (tptp.size_size_list_int Xs3) K) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_nat_fun_int_bool P I2) (tptp.aa_nat_int (tptp.nth_int Xs3) I2))))))))))
% 19.22/19.43  (assume a8248 (forall ((Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_VEBT_VEBT)) (= (= Xs Ys2) (and (= (tptp.size_s6755466524823107622T_VEBT Xs) (tptp.size_s6755466524823107622T_VEBT Ys2)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I2) (tptp.nth_VEBT_VEBT Ys2 I2))))))))
% 19.22/19.43  (assume a8249 (forall ((Xs tptp.list_bool) (Ys2 tptp.list_bool)) (= (= Xs Ys2) (and (= (tptp.size_size_list_bool Xs) (tptp.size_size_list_bool Ys2)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I2)) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Ys2) I2)))))))))
% 19.22/19.43  (assume a8250 (forall ((Xs tptp.list_nat) (Ys2 tptp.list_nat)) (= (= Xs Ys2) (and (= (tptp.size_size_list_nat Xs) (tptp.size_size_list_nat Ys2)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I2) (tptp.aa_nat_nat (tptp.nth_nat Ys2) I2))))))))
% 19.22/19.43  (assume a8251 (forall ((Xs tptp.list_int) (Ys2 tptp.list_int)) (= (= Xs Ys2) (and (= (tptp.size_size_list_int Xs) (tptp.size_size_list_int Ys2)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I2) (tptp.aa_nat_int (tptp.nth_int Ys2) I2))))))))
% 19.22/19.43  (assume a8252 (= (tptp.aa_num_nat tptp.size_size_num tptp.one) tptp.zero_zero_nat))
% 19.22/19.43  (assume a8253 (forall ((X22 tptp.num)) (= (tptp.aa_num_nat tptp.size_size_num (tptp.aa_num_num tptp.bit0 X22)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_size_num X22)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.43  (assume a8254 (forall ((X32 tptp.num)) (= (tptp.aa_num_nat tptp.size_size_num (tptp.aa_num_num tptp.bit1 X32)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.size_size_num X32)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.43  (assume a8255 (forall ((N tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren N TreeList) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) N))))))
% 19.22/19.43  (assume a8256 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.na)))
% 19.22/19.43  (assume a8257 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.na)))
% 19.22/19.43  (assume a8258 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member tptp.summary) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a8259 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 19.22/19.43  (assume a8260 (forall ((T tptp.vEBT_VEBT)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.zero_zero_nat)))))
% 19.22/19.43  (assume a8261 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m)))
% 19.22/19.43  (assume a8262 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8263 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X))))))
% 19.22/19.43  (assume a8264 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X))))))
% 19.22/19.43  (assume a8265 (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary) tptp.sc)))
% 19.22/19.43  (assume a8266 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member tptp.summary) tptp.sc)))
% 19.22/19.43  (assume a8267 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X)) (tptp.member_nat X (tptp.vEBT_set_vebt T))))))
% 19.22/19.43  (assume a8268 (forall ((Tree tptp.vEBT_VEBT) (X tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Tree) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.22/19.43  (assume a8269 (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.43  (assume a8270 (and (= (tptp.size_s6755466524823107622T_VEBT tptp.treeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt tptp.summary) tptp.m))))
% 19.22/19.43  (assume a8271 (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.m))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT tptp.treeList I4)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions tptp.summary) I4))))))
% 19.22/19.43  (assume a8272 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_vebt_insert T X)) Y)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (= X Y))))))))
% 19.22/19.43  (assume a8273 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat) (Y tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T Y)) X))))))))
% 19.22/19.43  (assume a8274 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_vebt_insert T X)) X))))))
% 19.22/19.43  (assume a8275 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node Info Deg TreeList Summary)) X)))))))
% 19.22/19.43  (assume a8276 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (= Deg N))))
% 19.22/19.43  (assume a8277 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)))) (exists ((Info2 tptp.option4927543243414619207at_nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (= Tree (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc N)) TreeList2 S3))))))
% 19.22/19.43  (assume a8278 (=> (= tptp.mi tptp.ma) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 tptp.treeList))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12))))))))
% 19.22/19.43  (assume a8279 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (= (tptp.vEBT_set_vebt T) (tptp.vEBT_VEBT_set_vebt T)))))
% 19.22/19.43  (assume a8280 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_vebt_buildup N)) N)))))
% 19.22/19.43  (assume a8281 (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt tptp.summary)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.sc)))
% 19.22/19.43  (assume a8282 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (M tptp.nat)) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X3) N)))) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) N))))))
% 19.22/19.43  (assume a8283 (forall ((Xs tptp.list_Extended_enat) (P tptp.fun_Ex8563670519792538868t_bool) (N tptp.nat)) (=> (forall ((X3 tptp.extended_enat)) (=> (tptp.member_Extended_enat X3 (tptp.set_Extended_enat2 Xs)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3941691890525107288d_enat Xs))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P (tptp.nth_Extended_enat Xs N)))))))
% 19.22/19.43  (assume a8284 (forall ((Xs tptp.list_complex) (P tptp.fun_complex_bool) (N tptp.nat)) (=> (forall ((X3 tptp.complex)) (=> (tptp.member_complex X3 (tptp.set_complex2 Xs)) (tptp.pp (tptp.aa_complex_bool P X3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_nat_complex (tptp.nth_complex Xs) N)))))))
% 19.22/19.43  (assume a8285 (forall ((Xs tptp.list_real) (P tptp.fun_real_bool) (N tptp.nat)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_real2 Xs)) (tptp.pp (tptp.aa_real_bool P X3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_real Xs))) (tptp.pp (tptp.aa_real_bool P (tptp.aa_nat_real (tptp.nth_real Xs) N)))))))
% 19.22/19.43  (assume a8286 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool) (N tptp.nat)) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs N)))))))
% 19.22/19.43  (assume a8287 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool) (N tptp.nat)) (=> (forall ((X3 tptp.bool)) (=> (tptp.member_bool X3 (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) N)))))))
% 19.22/19.43  (assume a8288 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool) (N tptp.nat)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 (tptp.set_nat2 Xs)) (tptp.pp (tptp.aa_nat_bool P X3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) N)))))))
% 19.22/19.43  (assume a8289 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool) (N tptp.nat)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 (tptp.set_int2 Xs)) (tptp.pp (tptp.aa_int_bool P X3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) N)))))))
% 19.22/19.43  (assume a8290 (forall ((T tptp.vEBT_VEBT) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt T)) X) Y)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (forall ((Z5 tptp.nat)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Z5)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z5))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) Z5))))))))
% 19.22/19.43  (assume a8291 (forall ((X tptp.extended_enat) (Xs tptp.list_Extended_enat)) (=> (tptp.member_Extended_enat X (tptp.set_Extended_enat2 Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s3941691890525107288d_enat Xs))))))
% 19.22/19.43  (assume a8292 (forall ((X tptp.complex) (Xs tptp.list_complex)) (=> (tptp.member_complex X (tptp.set_complex2 Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s3451745648224563538omplex Xs))))))
% 19.22/19.43  (assume a8293 (forall ((X tptp.real) (Xs tptp.list_real)) (=> (tptp.member_real X (tptp.set_real2 Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_real Xs))))))
% 19.22/19.43  (assume a8294 (forall ((X tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_s6755466524823107622T_VEBT Xs))))))
% 19.22/19.43  (assume a8295 (forall ((X tptp.bool) (Xs tptp.list_bool)) (=> (tptp.member_bool X (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_bool Xs))))))
% 19.22/19.43  (assume a8296 (forall ((X tptp.nat) (Xs tptp.list_nat)) (=> (tptp.member_nat X (tptp.set_nat2 Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_nat Xs))))))
% 19.22/19.43  (assume a8297 (forall ((X tptp.int) (Xs tptp.list_int)) (=> (tptp.member_int X (tptp.set_int2 Xs)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.size_size_list_int Xs))))))
% 19.22/19.43  (assume a8298 (forall ((N tptp.nat) (Xs tptp.list_Extended_enat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3941691890525107288d_enat Xs))) (tptp.member_Extended_enat (tptp.nth_Extended_enat Xs N) (tptp.set_Extended_enat2 Xs)))))
% 19.22/19.43  (assume a8299 (forall ((N tptp.nat) (Xs tptp.list_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s3451745648224563538omplex Xs))) (tptp.member_complex (tptp.aa_nat_complex (tptp.nth_complex Xs) N) (tptp.set_complex2 Xs)))))
% 19.22/19.43  (assume a8300 (forall ((N tptp.nat) (Xs tptp.list_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_real Xs))) (tptp.member_real (tptp.aa_nat_real (tptp.nth_real Xs) N) (tptp.set_real2 Xs)))))
% 19.22/19.43  (assume a8301 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT (tptp.nth_VEBT_VEBT Xs N)) (tptp.set_VEBT_VEBT2 Xs))))))
% 19.22/19.43  (assume a8302 (forall ((N tptp.nat) (Xs tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_bool Xs))) (tptp.member_bool (tptp.aa_nat_bool (tptp.nth_bool Xs) N) (tptp.set_bool2 Xs)))))
% 19.22/19.43  (assume a8303 (forall ((N tptp.nat) (Xs tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_nat Xs))) (tptp.member_nat (tptp.aa_nat_nat (tptp.nth_nat Xs) N) (tptp.set_nat2 Xs)))))
% 19.22/19.43  (assume a8304 (forall ((N tptp.nat) (Xs tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_int Xs))) (tptp.member_int (tptp.aa_nat_int (tptp.nth_int Xs) N) (tptp.set_int2 Xs)))))
% 19.22/19.43  (assume a8305 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_s6755466524823107622T_VEBT Xs))) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X3)))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs N)))))))
% 19.22/19.43  (assume a8306 (forall ((N tptp.nat) (Xs tptp.list_bool) (P tptp.fun_bool_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_bool Xs))) (=> (forall ((X3 tptp.bool)) (=> (tptp.member_bool X3 (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X3)))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) N)))))))
% 19.22/19.43  (assume a8307 (forall ((N tptp.nat) (Xs tptp.list_nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_nat Xs))) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 (tptp.set_nat2 Xs)) (tptp.pp (tptp.aa_nat_bool P X3)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) N)))))))
% 19.22/19.43  (assume a8308 (forall ((N tptp.nat) (Xs tptp.list_int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.size_size_list_int Xs))) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 (tptp.set_int2 Xs)) (tptp.pp (tptp.aa_int_bool P X3)))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) N)))))))
% 19.22/19.43  (assume a8309 (forall ((X tptp.extended_enat) (Xs tptp.list_Extended_enat)) (= (tptp.member_Extended_enat X (tptp.set_Extended_enat2 Xs)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s3941691890525107288d_enat Xs))) (= (tptp.nth_Extended_enat Xs I2) X))))))
% 19.22/19.43  (assume a8310 (forall ((X tptp.complex) (Xs tptp.list_complex)) (= (tptp.member_complex X (tptp.set_complex2 Xs)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s3451745648224563538omplex Xs))) (= (tptp.aa_nat_complex (tptp.nth_complex Xs) I2) X))))))
% 19.22/19.43  (assume a8311 (forall ((X tptp.real) (Xs tptp.list_real)) (= (tptp.member_real X (tptp.set_real2 Xs)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_real Xs))) (= (tptp.aa_nat_real (tptp.nth_real Xs) I2) X))))))
% 19.22/19.43  (assume a8312 (forall ((X tptp.vEBT_VEBT) (Xs tptp.list_VEBT_VEBT)) (= (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 Xs))) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s6755466524823107622T_VEBT Xs))) (= (tptp.nth_VEBT_VEBT Xs I2) X))))))
% 19.22/19.43  (assume a8313 (forall ((X tptp.bool) (Xs tptp.list_bool)) (= (tptp.member_bool X (tptp.set_bool2 Xs)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_bool Xs))) (= (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Xs) I2)) (tptp.pp X)))))))
% 19.22/19.43  (assume a8314 (forall ((X tptp.nat) (Xs tptp.list_nat)) (= (tptp.member_nat X (tptp.set_nat2 Xs)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_nat Xs))) (= (tptp.aa_nat_nat (tptp.nth_nat Xs) I2) X))))))
% 19.22/19.43  (assume a8315 (forall ((X tptp.int) (Xs tptp.list_int)) (= (tptp.member_int X (tptp.set_int2 Xs)) (exists ((I2 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_int Xs))) (= (tptp.aa_nat_int (tptp.nth_int Xs) I2) X))))))
% 19.22/19.43  (assume a8316 (forall ((Xs tptp.list_Extended_enat) (P tptp.fun_Ex8563670519792538868t_bool) (X tptp.extended_enat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s3941691890525107288d_enat Xs))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P (tptp.nth_Extended_enat Xs I3))))) (=> (tptp.member_Extended_enat X (tptp.set_Extended_enat2 Xs)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X))))))
% 19.22/19.43  (assume a8317 (forall ((Xs tptp.list_complex) (P tptp.fun_complex_bool) (X tptp.complex)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s3451745648224563538omplex Xs))) (tptp.pp (tptp.aa_complex_bool P (tptp.aa_nat_complex (tptp.nth_complex Xs) I3))))) (=> (tptp.member_complex X (tptp.set_complex2 Xs)) (tptp.pp (tptp.aa_complex_bool P X))))))
% 19.22/19.43  (assume a8318 (forall ((Xs tptp.list_real) (P tptp.fun_real_bool) (X tptp.real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_real Xs))) (tptp.pp (tptp.aa_real_bool P (tptp.aa_nat_real (tptp.nth_real Xs) I3))))) (=> (tptp.member_real X (tptp.set_real2 Xs)) (tptp.pp (tptp.aa_real_bool P X))))))
% 19.22/19.43  (assume a8319 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool) (X tptp.vEBT_VEBT)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs I3))))) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X))))))
% 19.22/19.43  (assume a8320 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool) (X tptp.bool)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) I3))))) (=> (tptp.member_bool X (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X))))))
% 19.22/19.43  (assume a8321 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool) (X tptp.nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) I3))))) (=> (tptp.member_nat X (tptp.set_nat2 Xs)) (tptp.pp (tptp.aa_nat_bool P X))))))
% 19.22/19.43  (assume a8322 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool) (X tptp.int)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) I3))))) (=> (tptp.member_int X (tptp.set_int2 Xs)) (tptp.pp (tptp.aa_int_bool P X))))))
% 19.22/19.43  (assume a8323 (forall ((Xs tptp.list_VEBT_VEBT) (P tptp.fun_VEBT_VEBT_bool)) (= (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X2)))) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s6755466524823107622T_VEBT Xs))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P (tptp.nth_VEBT_VEBT Xs I2))))))))
% 19.22/19.43  (assume a8324 (forall ((Xs tptp.list_bool) (P tptp.fun_bool_bool)) (= (forall ((X2 tptp.bool)) (=> (tptp.member_bool X2 (tptp.set_bool2 Xs)) (tptp.pp (tptp.aa_bool_bool P X2)))) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_bool Xs))) (tptp.pp (tptp.aa_bool_bool P (tptp.aa_nat_bool (tptp.nth_bool Xs) I2))))))))
% 19.22/19.43  (assume a8325 (forall ((Xs tptp.list_nat) (P tptp.fun_nat_bool)) (= (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 (tptp.set_nat2 Xs)) (tptp.pp (tptp.aa_nat_bool P X2)))) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_nat Xs))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat (tptp.nth_nat Xs) I2))))))))
% 19.22/19.43  (assume a8326 (forall ((Xs tptp.list_int) (P tptp.fun_int_bool)) (= (forall ((X2 tptp.int)) (=> (tptp.member_int X2 (tptp.set_int2 Xs)) (tptp.pp (tptp.aa_int_bool P X2)))) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_int Xs))) (tptp.pp (tptp.aa_int_bool P (tptp.aa_nat_int (tptp.nth_int Xs) I2))))))))
% 19.22/19.43  (assume a8327 (forall ((Xs tptp.set_nat) (X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set Xs) X) Y)) (and (tptp.member_nat Y Xs) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 Xs) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y) X2)))))))))
% 19.22/19.43  (assume a8328 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.ord_less_eq_set_nat (tptp.vEBT_VEBT_set_vebt T) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 19.22/19.43  (assume a8329 (not (= (tptp.vEBT_VEBT_set_vebt (tptp.nth_VEBT_VEBT tptp.treeList tptp.sc)) tptp.bot_bot_set_nat)))
% 19.22/19.43  (assume a8330 (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary)) tptp.za)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.xa) tptp.za))))
% 19.22/19.43  (assume a8331 (= (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.some_nat tptp.sc)))
% 19.22/19.43  (assume a8332 (forall ((N tptp.nat)) (= (tptp.vEBT_VEBT_set_vebt (tptp.vEBT_vebt_buildup N)) tptp.bot_bot_set_nat)))
% 19.22/19.43  (assume a8333 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat X) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_power (tptp.some_nat X)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 19.22/19.43  (assume a8334 (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 tptp.treeList))) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) tptp.na)) (forall ((Xa2 tptp.nat) (Xb2 tptp.nat)) (= (= (tptp.vEBT_vebt_succ X4 Xa2) (tptp.some_nat Xb2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt X4)) Xa2) Xb2))))))))
% 19.22/19.43  (assume a8335 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg)) (=> (= Mi Ma) (and (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12)))))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_12)))))))))
% 19.22/19.43  (assume a8336 (forall ((X tptp.nat) (Sx tptp.nat)) (= (= (tptp.vEBT_vebt_succ tptp.summary X) (tptp.some_nat Sx)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set (tptp.vEBT_VEBT_set_vebt tptp.summary)) X) Sx)))))
% 19.22/19.43  (assume a8337 (forall ((I tptp.extended_enat) (L tptp.extended_enat) (U tptp.extended_enat)) (= (tptp.member_Extended_enat I (tptp.set_or5403411693681687835d_enat L U)) (and (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat L) I)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat I) U))))))
% 19.22/19.43  (assume a8338 (forall ((I tptp.set_nat) (L tptp.set_nat) (U tptp.set_nat)) (= (tptp.member_set_nat I (tptp.set_or4548717258645045905et_nat L U)) (and (tptp.ord_less_eq_set_nat L I) (tptp.ord_less_eq_set_nat I U)))))
% 19.22/19.43  (assume a8339 (forall ((I tptp.rat) (L tptp.rat) (U tptp.rat)) (= (tptp.member_rat I (tptp.set_or633870826150836451st_rat L U)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) I)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat I) U))))))
% 19.22/19.43  (assume a8340 (forall ((I tptp.num) (L tptp.num) (U tptp.num)) (= (tptp.member_num I (tptp.set_or7049704709247886629st_num L U)) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) I)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num I) U))))))
% 19.22/19.43  (assume a8341 (forall ((I tptp.nat) (L tptp.nat) (U tptp.nat)) (= (tptp.member_nat I (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) I)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) U))))))
% 19.22/19.43  (assume a8342 (forall ((I tptp.int) (L tptp.int) (U tptp.int)) (= (tptp.member_int I (tptp.set_or1266510415728281911st_int L U)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) I)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) U))))))
% 19.22/19.43  (assume a8343 (forall ((I tptp.real) (L tptp.real) (U tptp.real)) (= (tptp.member_real I (tptp.set_or1222579329274155063t_real L U)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) I)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real I) U))))))
% 19.22/19.43  (assume a8344 (forall ((L tptp.set_nat) (H tptp.set_nat) (L3 tptp.set_nat) (H2 tptp.set_nat)) (= (= (tptp.set_or4548717258645045905et_nat L H) (tptp.set_or4548717258645045905et_nat L3 H2)) (or (and (= L L3) (= H H2)) (and (not (tptp.ord_less_eq_set_nat L H)) (not (tptp.ord_less_eq_set_nat L3 H2)))))))
% 19.22/19.43  (assume a8345 (forall ((L tptp.rat) (H tptp.rat) (L3 tptp.rat) (H2 tptp.rat)) (= (= (tptp.set_or633870826150836451st_rat L H) (tptp.set_or633870826150836451st_rat L3 H2)) (or (and (= L L3) (= H H2)) (and (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L) H))) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat L3) H2))))))))
% 19.22/19.43  (assume a8346 (forall ((L tptp.num) (H tptp.num) (L3 tptp.num) (H2 tptp.num)) (= (= (tptp.set_or7049704709247886629st_num L H) (tptp.set_or7049704709247886629st_num L3 H2)) (or (and (= L L3) (= H H2)) (and (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L) H))) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num L3) H2))))))))
% 19.22/19.43  (assume a8347 (forall ((L tptp.nat) (H tptp.nat) (L3 tptp.nat) (H2 tptp.nat)) (= (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) H) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L3) H2)) (or (and (= L L3) (= H H2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L) H))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat L3) H2))))))))
% 19.22/19.43  (assume a8348 (forall ((L tptp.int) (H tptp.int) (L3 tptp.int) (H2 tptp.int)) (= (= (tptp.set_or1266510415728281911st_int L H) (tptp.set_or1266510415728281911st_int L3 H2)) (or (and (= L L3) (= H H2)) (and (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L) H))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int L3) H2))))))))
% 19.22/19.43  (assume a8349 (forall ((L tptp.real) (H tptp.real) (L3 tptp.real) (H2 tptp.real)) (= (= (tptp.set_or1222579329274155063t_real L H) (tptp.set_or1222579329274155063t_real L3 H2)) (or (and (= L L3) (= H H2)) (and (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) H))) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L3) H2))))))))
% 19.22/19.43  (assume a8350 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (or (= X Mi) (= X Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary))))))
% 19.22/19.43  (assume a8351 (forall ((A3 tptp.set_Extended_enat)) (= (tptp.minus_925952699566721837d_enat A3 A3) tptp.bot_bo7653980558646680370d_enat)))
% 19.22/19.43  (assume a8352 (forall ((A3 tptp.set_real)) (= (tptp.minus_minus_set_real A3 A3) tptp.bot_bot_set_real)))
% 19.22/19.43  (assume a8353 (forall ((A3 tptp.set_int)) (= (tptp.minus_minus_set_int A3 A3) tptp.bot_bot_set_int)))
% 19.22/19.43  (assume a8354 (forall ((A3 tptp.set_nat)) (= (tptp.minus_minus_set_nat A3 A3) tptp.bot_bot_set_nat)))
% 19.22/19.43  (assume a8355 (forall ((A3 tptp.set_Extended_enat)) (= (tptp.minus_925952699566721837d_enat tptp.bot_bo7653980558646680370d_enat A3) tptp.bot_bo7653980558646680370d_enat)))
% 19.22/19.43  (assume a8356 (forall ((A3 tptp.set_real)) (= (tptp.minus_minus_set_real tptp.bot_bot_set_real A3) tptp.bot_bot_set_real)))
% 19.22/19.43  (assume a8357 (forall ((A3 tptp.set_int)) (= (tptp.minus_minus_set_int tptp.bot_bot_set_int A3) tptp.bot_bot_set_int)))
% 19.22/19.43  (assume a8358 (forall ((A3 tptp.set_nat)) (= (tptp.minus_minus_set_nat tptp.bot_bot_set_nat A3) tptp.bot_bot_set_nat)))
% 19.22/19.43  (assume a8359 (forall ((A3 tptp.set_Extended_enat)) (= (tptp.minus_925952699566721837d_enat A3 tptp.bot_bo7653980558646680370d_enat) A3)))
% 19.22/19.43  (assume a8360 (forall ((A3 tptp.set_real)) (= (tptp.minus_minus_set_real A3 tptp.bot_bot_set_real) A3)))
% 19.22/19.43  (assume a8361 (forall ((A3 tptp.set_int)) (= (tptp.minus_minus_set_int A3 tptp.bot_bot_set_int) A3)))
% 19.22/19.43  (assume a8362 (forall ((A3 tptp.set_nat)) (= (tptp.minus_minus_set_nat A3 tptp.bot_bot_set_nat) A3)))
% 19.22/19.43  (assume a8363 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) Ma)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)))))))
% 19.22/19.43  (assume a8364 (forall ((Deg tptp.nat) (X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.some_nat Mi))))))
% 19.22/19.43  (assume a8365 (forall ((A tptp.extended_enat) (B2 tptp.extended_enat)) (= (= (tptp.set_or5403411693681687835d_enat A B2) tptp.bot_bo7653980558646680370d_enat) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat A) B2))))))
% 19.22/19.43  (assume a8366 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (= (tptp.set_or4548717258645045905et_nat A B2) tptp.bot_bot_set_set_nat) (not (tptp.ord_less_eq_set_nat A B2)))))
% 19.22/19.43  (assume a8367 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= (tptp.set_or633870826150836451st_rat A B2) tptp.bot_bot_set_rat) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.22/19.43  (assume a8368 (forall ((A tptp.num) (B2 tptp.num)) (= (= (tptp.set_or7049704709247886629st_num A B2) tptp.bot_bot_set_num) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))))))
% 19.22/19.43  (assume a8369 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2) tptp.bot_bot_set_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))))))
% 19.22/19.43  (assume a8370 (forall ((A tptp.int) (B2 tptp.int)) (= (= (tptp.set_or1266510415728281911st_int A B2) tptp.bot_bot_set_int) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.43  (assume a8371 (forall ((A tptp.real) (B2 tptp.real)) (= (= (tptp.set_or1222579329274155063t_real A B2) tptp.bot_bot_set_real) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.22/19.43  (assume a8372 (forall ((A tptp.extended_enat) (B2 tptp.extended_enat)) (= (= tptp.bot_bo7653980558646680370d_enat (tptp.set_or5403411693681687835d_enat A B2)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat A) B2))))))
% 19.22/19.43  (assume a8373 (forall ((A tptp.set_nat) (B2 tptp.set_nat)) (= (= tptp.bot_bot_set_set_nat (tptp.set_or4548717258645045905et_nat A B2)) (not (tptp.ord_less_eq_set_nat A B2)))))
% 19.22/19.43  (assume a8374 (forall ((A tptp.rat) (B2 tptp.rat)) (= (= tptp.bot_bot_set_rat (tptp.set_or633870826150836451st_rat A B2)) (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))))))
% 19.22/19.43  (assume a8375 (forall ((A tptp.num) (B2 tptp.num)) (= (= tptp.bot_bot_set_num (tptp.set_or7049704709247886629st_num A B2)) (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))))))
% 19.22/19.43  (assume a8376 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= tptp.bot_bot_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))))))
% 19.22/19.43  (assume a8377 (forall ((A tptp.int) (B2 tptp.int)) (= (= tptp.bot_bot_set_int (tptp.set_or1266510415728281911st_int A B2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.43  (assume a8378 (forall ((A tptp.real) (B2 tptp.real)) (= (= tptp.bot_bot_set_real (tptp.set_or1222579329274155063t_real A B2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))))))
% 19.22/19.43  (assume a8379 (forall ((A tptp.set_nat) (B2 tptp.set_nat) (C tptp.set_nat) (D tptp.set_nat)) (= (tptp.ord_le6893508408891458716et_nat (tptp.set_or4548717258645045905et_nat A B2) (tptp.set_or4548717258645045905et_nat C D)) (or (not (tptp.ord_less_eq_set_nat A B2)) (and (tptp.ord_less_eq_set_nat C A) (tptp.ord_less_eq_set_nat B2 D))))))
% 19.22/19.43  (assume a8380 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (= (tptp.ord_less_eq_set_rat (tptp.set_or633870826150836451st_rat A B2) (tptp.set_or633870826150836451st_rat C D)) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) D)))))))
% 19.22/19.43  (assume a8381 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num) (D tptp.num)) (= (tptp.ord_less_eq_set_num (tptp.set_or7049704709247886629st_num A B2) (tptp.set_or7049704709247886629st_num C D)) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) D)))))))
% 19.22/19.43  (assume a8382 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.ord_less_eq_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat C) D)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) D)))))))
% 19.22/19.43  (assume a8383 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.ord_less_eq_set_int (tptp.set_or1266510415728281911st_int A B2) (tptp.set_or1266510415728281911st_int C D)) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) D)))))))
% 19.22/19.43  (assume a8384 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.ord_less_eq_set_real (tptp.set_or1222579329274155063t_real A B2) (tptp.set_or1222579329274155063t_real C D)) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) D)))))))
% 19.22/19.43  (assume a8385 (forall ((B2 tptp.extended_enat) (A tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat B2) A)) (= (tptp.set_or5403411693681687835d_enat A B2) tptp.bot_bo7653980558646680370d_enat))))
% 19.22/19.43  (assume a8386 (forall ((B2 tptp.rat) (A tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) A)) (= (tptp.set_or633870826150836451st_rat A B2) tptp.bot_bot_set_rat))))
% 19.22/19.43  (assume a8387 (forall ((B2 tptp.num) (A tptp.num)) (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) A)) (= (tptp.set_or7049704709247886629st_num A B2) tptp.bot_bot_set_num))))
% 19.22/19.43  (assume a8388 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) A)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2) tptp.bot_bot_set_nat))))
% 19.22/19.43  (assume a8389 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A)) (= (tptp.set_or1266510415728281911st_int A B2) tptp.bot_bot_set_int))))
% 19.22/19.43  (assume a8390 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (= (tptp.set_or1222579329274155063t_real A B2) tptp.bot_bot_set_real))))
% 19.22/19.43  (assume a8391 (forall ((A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (= (= (tptp.minus_925952699566721837d_enat A3 B3) tptp.bot_bo7653980558646680370d_enat) (tptp.ord_le7203529160286727270d_enat A3 B3))))
% 19.22/19.43  (assume a8392 (forall ((A3 tptp.set_real) (B3 tptp.set_real)) (= (= (tptp.minus_minus_set_real A3 B3) tptp.bot_bot_set_real) (tptp.ord_less_eq_set_real A3 B3))))
% 19.22/19.43  (assume a8393 (forall ((A3 tptp.set_int) (B3 tptp.set_int)) (= (= (tptp.minus_minus_set_int A3 B3) tptp.bot_bot_set_int) (tptp.ord_less_eq_set_int A3 B3))))
% 19.22/19.43  (assume a8394 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (= (tptp.minus_minus_set_nat A3 B3) tptp.bot_bot_set_nat) (tptp.ord_less_eq_set_nat A3 B3))))
% 19.22/19.43  (assume a8395 (not (forall ((Sc tptp.nat)) (not (= (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.some_nat Sc))))))
% 19.22/19.43  (assume a8396 (forall ((Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= X Mi) (= X Ma))))))
% 19.22/19.43  (assume a8397 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (or (= X Mi) (= X Ma) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Ma)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.43  (assume a8398 (forall ((X tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) X)))))))
% 19.22/19.43  (assume a8399 (= (tptp.some_nat tptp.miny) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList tptp.sc))))
% 19.22/19.43  (assume a8400 (forall ((Y tptp.nat) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) X)) (tptp.vEBT_VEBT_greater (tptp.some_nat X) (tptp.some_nat Y)))))
% 19.22/19.43  (assume a8401 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Y)) (tptp.vEBT_VEBT_lesseq (tptp.some_nat X) (tptp.some_nat Y)))))
% 19.22/19.43  (assume a8402 (not (= (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat)))
% 19.22/19.43  (assume a8403 (forall ((A3 tptp.set_Extended_enat)) (not (tptp.ord_le2529575680413868914d_enat A3 tptp.bot_bo7653980558646680370d_enat))))
% 19.22/19.43  (assume a8404 (forall ((A3 tptp.set_real)) (not (tptp.ord_less_set_real A3 tptp.bot_bot_set_real))))
% 19.22/19.43  (assume a8405 (forall ((A3 tptp.set_nat)) (not (tptp.ord_less_set_nat A3 tptp.bot_bot_set_nat))))
% 19.22/19.43  (assume a8406 (forall ((A3 tptp.set_int)) (not (tptp.ord_less_set_int A3 tptp.bot_bot_set_int))))
% 19.22/19.43  (assume a8407 (forall ((A tptp.set_Extended_enat)) (= (not (= A tptp.bot_bo7653980558646680370d_enat)) (tptp.ord_le2529575680413868914d_enat tptp.bot_bo7653980558646680370d_enat A))))
% 19.22/19.43  (assume a8408 (forall ((A tptp.set_real)) (= (not (= A tptp.bot_bot_set_real)) (tptp.ord_less_set_real tptp.bot_bot_set_real A))))
% 19.22/19.43  (assume a8409 (forall ((A tptp.set_nat)) (= (not (= A tptp.bot_bot_set_nat)) (tptp.ord_less_set_nat tptp.bot_bot_set_nat A))))
% 19.22/19.43  (assume a8410 (forall ((A tptp.set_int)) (= (not (= A tptp.bot_bot_set_int)) (tptp.ord_less_set_int tptp.bot_bot_set_int A))))
% 19.22/19.43  (assume a8411 (forall ((A tptp.nat)) (= (not (= A tptp.bot_bot_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.bot_bot_nat) A)))))
% 19.22/19.43  (assume a8412 (forall ((A tptp.set_Extended_enat)) (not (tptp.ord_le2529575680413868914d_enat A tptp.bot_bo7653980558646680370d_enat))))
% 19.22/19.43  (assume a8413 (forall ((A tptp.set_real)) (not (tptp.ord_less_set_real A tptp.bot_bot_set_real))))
% 19.22/19.43  (assume a8414 (forall ((A tptp.set_nat)) (not (tptp.ord_less_set_nat A tptp.bot_bot_set_nat))))
% 19.22/19.43  (assume a8415 (forall ((A tptp.set_int)) (not (tptp.ord_less_set_int A tptp.bot_bot_set_int))))
% 19.22/19.43  (assume a8416 (forall ((A tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) tptp.bot_bot_nat)))))
% 19.22/19.43  (assume a8417 (forall ((A tptp.set_Extended_enat)) (tptp.ord_le7203529160286727270d_enat tptp.bot_bo7653980558646680370d_enat A)))
% 19.22/19.43  (assume a8418 (forall ((A tptp.set_real)) (tptp.ord_less_eq_set_real tptp.bot_bot_set_real A)))
% 19.22/19.43  (assume a8419 (forall ((A tptp.set_int)) (tptp.ord_less_eq_set_int tptp.bot_bot_set_int A)))
% 19.22/19.43  (assume a8420 (forall ((A tptp.set_nat)) (tptp.ord_less_eq_set_nat tptp.bot_bot_set_nat A)))
% 19.22/19.43  (assume a8421 (forall ((A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.bot_bot_nat) A))))
% 19.22/19.43  (assume a8422 (forall ((A tptp.set_Extended_enat)) (= (tptp.ord_le7203529160286727270d_enat A tptp.bot_bo7653980558646680370d_enat) (= A tptp.bot_bo7653980558646680370d_enat))))
% 19.22/19.43  (assume a8423 (forall ((A tptp.set_real)) (= (tptp.ord_less_eq_set_real A tptp.bot_bot_set_real) (= A tptp.bot_bot_set_real))))
% 19.22/19.43  (assume a8424 (forall ((A tptp.set_int)) (= (tptp.ord_less_eq_set_int A tptp.bot_bot_set_int) (= A tptp.bot_bot_set_int))))
% 19.22/19.43  (assume a8425 (forall ((A tptp.set_nat)) (= (tptp.ord_less_eq_set_nat A tptp.bot_bot_set_nat) (= A tptp.bot_bot_set_nat))))
% 19.22/19.43  (assume a8426 (forall ((A tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.bot_bot_nat)) (= A tptp.bot_bot_nat))))
% 19.22/19.43  (assume a8427 (forall ((A tptp.set_Extended_enat)) (=> (tptp.ord_le7203529160286727270d_enat A tptp.bot_bo7653980558646680370d_enat) (= A tptp.bot_bo7653980558646680370d_enat))))
% 19.22/19.43  (assume a8428 (forall ((A tptp.set_real)) (=> (tptp.ord_less_eq_set_real A tptp.bot_bot_set_real) (= A tptp.bot_bot_set_real))))
% 19.22/19.43  (assume a8429 (forall ((A tptp.set_int)) (=> (tptp.ord_less_eq_set_int A tptp.bot_bot_set_int) (= A tptp.bot_bot_set_int))))
% 19.22/19.43  (assume a8430 (forall ((A tptp.set_nat)) (=> (tptp.ord_less_eq_set_nat A tptp.bot_bot_set_nat) (= A tptp.bot_bot_set_nat))))
% 19.22/19.43  (assume a8431 (forall ((A tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) tptp.bot_bot_nat)) (= A tptp.bot_bot_nat))))
% 19.22/19.43  (assume a8432 (forall ((X tptp.set_Extended_enat) (Y tptp.set_Extended_enat)) (= (= (tptp.minus_925952699566721837d_enat X Y) tptp.bot_bo7653980558646680370d_enat) (tptp.ord_le7203529160286727270d_enat X Y))))
% 19.22/19.43  (assume a8433 (forall ((X tptp.set_real) (Y tptp.set_real)) (= (= (tptp.minus_minus_set_real X Y) tptp.bot_bot_set_real) (tptp.ord_less_eq_set_real X Y))))
% 19.22/19.43  (assume a8434 (forall ((X tptp.set_int) (Y tptp.set_int)) (= (= (tptp.minus_minus_set_int X Y) tptp.bot_bot_set_int) (tptp.ord_less_eq_set_int X Y))))
% 19.22/19.43  (assume a8435 (forall ((X tptp.set_nat) (Y tptp.set_nat)) (= (= (tptp.minus_minus_set_nat X Y) tptp.bot_bot_set_nat) (tptp.ord_less_eq_set_nat X Y))))
% 19.22/19.43  (assume a8436 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((M7 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M7) N)) (tptp.pp (tptp.aa_nat_bool P M7)))) (exists ((X2 tptp.nat)) (and (tptp.member_nat X2 (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool P X2)))))))
% 19.22/19.43  (assume a8437 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M7) N)) (tptp.pp (tptp.aa_nat_bool P M7)))) (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool P X2)))))))
% 19.22/19.43  (assume a8438 (forall ((A tptp.set_nat) (B2 tptp.set_nat) (C tptp.set_nat) (D tptp.set_nat)) (= (tptp.ord_less_set_set_nat (tptp.set_or4548717258645045905et_nat A B2) (tptp.set_or4548717258645045905et_nat C D)) (and (or (not (tptp.ord_less_eq_set_nat A B2)) (and (tptp.ord_less_eq_set_nat C A) (tptp.ord_less_eq_set_nat B2 D) (or (tptp.ord_less_set_nat C A) (tptp.ord_less_set_nat B2 D)))) (tptp.ord_less_eq_set_nat C D)))))
% 19.22/19.43  (assume a8439 (forall ((A tptp.rat) (B2 tptp.rat) (C tptp.rat) (D tptp.rat)) (= (tptp.ord_less_set_rat (tptp.set_or633870826150836451st_rat A B2) (tptp.set_or633870826150836451st_rat C D)) (and (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat A) B2))) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat B2) D)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat C) A)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B2) D))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat C) D))))))
% 19.22/19.43  (assume a8440 (forall ((A tptp.num) (B2 tptp.num) (C tptp.num) (D tptp.num)) (= (tptp.ord_less_set_num (tptp.set_or7049704709247886629st_num A B2) (tptp.set_or7049704709247886629st_num C D)) (and (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num A) B2))) (and (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num B2) D)) (or (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num C) A)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num B2) D))))) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num C) D))))))
% 19.22/19.43  (assume a8441 (forall ((A tptp.nat) (B2 tptp.nat) (C tptp.nat) (D tptp.nat)) (= (tptp.ord_less_set_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat C) D)) (and (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) D)) (or (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) A)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat B2) D))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) D))))))
% 19.22/19.43  (assume a8442 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.ord_less_set_int (tptp.set_or1266510415728281911st_int A B2) (tptp.set_or1266510415728281911st_int C D)) (and (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) D)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int C) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) D))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int C) D))))))
% 19.22/19.43  (assume a8443 (forall ((A tptp.real) (B2 tptp.real) (C tptp.real) (D tptp.real)) (= (tptp.ord_less_set_real (tptp.set_or1222579329274155063t_real A B2) (tptp.set_or1222579329274155063t_real C D)) (and (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) D)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) A)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) D))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) D))))))
% 19.22/19.43  (assume a8444 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat)) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X3) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M N) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) I3))))) (=> (=> (= Mi Ma) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) X_1))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg))) (=> (=> (not (= Mi Ma)) (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma) N)))) (forall ((X3 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) N)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma))))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg))))))))))))))
% 19.22/19.43  (assume a8445 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat) (Mi tptp.nat) (Ma tptp.nat)) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X3) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M (tptp.aa_nat_nat tptp.suc N)) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) I3))))) (=> (=> (= Mi Ma) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) X_1))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) Ma)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg))) (=> (=> (not (= Mi Ma)) (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma) N)))) (forall ((X3 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X3) N) I3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList I3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X3) N)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X3) Ma))))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg))))))))))))))
% 19.22/19.43  (assume a8446 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (not (= Mi Ma)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) Ma)) (exists ((M4 tptp.nat)) (and (= (tptp.some_nat M4) (tptp.vEBT_vebt_mint Summary)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))))
% 19.22/19.43  (assume a8447 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set (tptp.vEBT_VEBT_set_vebt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) tptp.miny)))
% 19.22/19.43  (assume a8448 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) tptp.miny)))
% 19.22/19.43  (assume a8449 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) tptp.na)))
% 19.22/19.43  (assume a8450 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat Maxi)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Maxi))))))
% 19.22/19.43  (assume a8451 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Mini tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat Mini)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mini) X)))))))
% 19.22/19.43  (assume a8452 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) tptp.none_nat) (= (tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 19.22/19.43  (assume a8453 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set (tptp.vEBT_VEBT_set_vebt T)) X)) (= (tptp.vEBT_vebt_mint T) (tptp.some_nat X))))))
% 19.22/19.43  (assume a8454 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_mint T) (tptp.some_nat X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_min_in_set (tptp.vEBT_VEBT_set_vebt T)) X))))))
% 19.22/19.43  (assume a8455 (not (forall ((Miny tptp.nat)) (not (= (tptp.some_nat Miny) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList tptp.sc)))))))
% 19.22/19.43  (assume a8456 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.some_nat M) (tptp.vEBT_vebt_mint T)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))))
% 19.22/19.43  (assume a8457 (= (tptp.bit_se1146084159140164899it_int tptp.zero_zero_int) tptp.bot_bot_fun_nat_bool))
% 19.22/19.43  (assume a8458 (= (tptp.aa_nat_fun_nat_bool tptp.bit_se1148574629649215175it_nat tptp.zero_zero_nat) tptp.bot_bot_fun_nat_bool))
% 19.22/19.43  (assume a8459 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) tptp.none_nat))))))
% 19.22/19.43  (assume a8460 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat) (Va2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) N)) (=> (= N (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) Mi))) (=> (not (= Ma Mi)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.the_nat (tptp.vEBT_vebt_mint Summary))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Va2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.the_nat (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_mint Summary))))))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Va2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))))
% 19.22/19.43  (assume a8461 (= (tptp.some_nat tptp.miny) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))
% 19.22/19.43  (assume a8462 (= tptp.vEBT_VEBT_power (tptp.vEBT_V4262088993061758097ft_nat tptp.power_power_nat)))
% 19.22/19.43  (assume a8463 (= tptp.bot_bo4199563552545308370d_enat tptp.zero_z5237406670263579293d_enat))
% 19.22/19.43  (assume a8464 (= tptp.bot_bot_nat tptp.zero_zero_nat))
% 19.22/19.43  (assume a8465 (forall ((D4 tptp.int) (A3 tptp.set_int) (P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 A3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) D4)))))) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 A3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) D4)))))) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (or (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (or (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4))) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)))))))))))
% 19.22/19.43  (assume a8466 (forall ((D4 tptp.int) (A3 tptp.set_int) (P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 A3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) D4)))))) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 A3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) D4)))))) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (and (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (and (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4))) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)))))))))))
% 19.22/19.43  (assume a8467 (forall ((D4 tptp.int) (B3 tptp.set_int) (P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 B3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) D4)))))) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 B3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) D4)))))) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (or (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (or (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4))) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4)))))))))))
% 19.22/19.43  (assume a8468 (forall ((D4 tptp.int) (B3 tptp.set_int) (P tptp.fun_int_bool) (Q tptp.fun_int_bool)) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 B3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) D4)))))) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 B3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool Q X3)) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) D4)))))) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (and (tptp.pp (tptp.aa_int_bool P X4)) (tptp.pp (tptp.aa_int_bool Q X4))) (and (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4))) (tptp.pp (tptp.aa_int_bool Q (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4)))))))))))
% 19.22/19.43  (assume a8469 (forall ((D tptp.int) (D4 tptp.int) (B3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) T))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4)) T)))))))))
% 19.22/19.43  (assume a8470 (forall ((D tptp.int) (D4 tptp.int) (B3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) T)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4)) T))))))))))
% 19.22/19.43  (assume a8471 (forall ((D tptp.int) (D4 tptp.int) (A3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) T))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)) T)))))))))
% 19.22/19.43  (assume a8472 (forall ((D tptp.int) (D4 tptp.int) (A3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) T)))) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)) T))))))))))
% 19.22/19.43  (assume a8473 (forall ((V tptp.product_prod_nat_nat) (Vc tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (Ve tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) tptp.zero_zero_nat Vc Vd) Ve) tptp.none_nat)))
% 19.22/19.43  (assume a8474 (forall ((D tptp.int) (P tptp.fun_int_bool)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D)) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D)))))) (= (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_13))) (exists ((X2 tptp.int)) (and (tptp.member_int X2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D)) (tptp.pp (tptp.aa_int_bool P X2)))))))))
% 19.22/19.43  (assume a8475 (forall ((D4 tptp.int) (A3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)))))))))
% 19.22/19.43  (assume a8476 (forall ((D4 tptp.int) (T tptp.int) (A3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int T A3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)) T)))))))))
% 19.22/19.43  (assume a8477 (forall ((D4 tptp.int) (T tptp.int) (A3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int T A3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (not (= X4 T)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4) T)))))))))
% 19.22/19.43  (assume a8478 (forall ((D4 tptp.int) (T tptp.int) (A3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int T) tptp.one_one_int) A3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (= X4 T) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4) T))))))))
% 19.22/19.43  (assume a8479 (forall ((D4 tptp.int) (T tptp.int) (B3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int T B3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int T) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4))))))))))
% 19.22/19.43  (assume a8480 (forall ((D4 tptp.int) (B3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X4) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4)) T))))))))
% 19.22/19.43  (assume a8481 (forall ((D4 tptp.int) (T tptp.int) (B3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int T B3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (not (= X4 T)) (not (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4) T)))))))))
% 19.22/19.43  (assume a8482 (forall ((D4 tptp.int) (T tptp.int) (B3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int T) tptp.one_one_int) B3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (= X4 T) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4) T))))))))
% 19.22/19.43  (assume a8483 (forall ((V tptp.product_prod_nat_nat) (Vg tptp.list_VEBT_VEBT) (Vh tptp.vEBT_VEBT) (Vi tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg Vh) Vi) tptp.none_nat)))
% 19.22/19.43  (assume a8484 (forall ((D4 tptp.int) (A3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)))))))))
% 19.22/19.43  (assume a8485 (forall ((D4 tptp.int) (T tptp.int) (A3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int T) tptp.one_one_int) A3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 A3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X4) D4)) T)))))))))
% 19.22/19.43  (assume a8486 (forall ((D4 tptp.int) (T tptp.int) (B3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (tptp.member_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int T) tptp.one_one_int) B3) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) X4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int T) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4))))))))))
% 19.22/19.43  (assume a8487 (forall ((D4 tptp.int) (B3 tptp.set_int) (T tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (forall ((X4 tptp.int)) (=> (forall ((Xa3 tptp.int)) (=> (tptp.member_int Xa3 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb3 tptp.int)) (=> (tptp.member_int Xb3 B3) (not (= X4 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb3) Xa3))))))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X4) T)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X4) D4)) T))))))))
% 19.22/19.43  (assume a8488 (forall ((D4 tptp.int) (P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (B3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X3) Z3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P3 X3)))))) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 B3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) D4)))))) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P3 X3)) (tptp.pp (tptp.aa_int_bool P3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (= (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_13))) (or (exists ((X2 tptp.int)) (and (tptp.member_int X2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (tptp.pp (tptp.aa_int_bool P3 X2)))) (exists ((X2 tptp.int)) (and (tptp.member_int X2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (exists ((Xa4 tptp.int)) (and (tptp.member_int Xa4 B3) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xa4) X2)))))))))))))))
% 19.22/19.43  (assume a8489 (forall ((D4 tptp.int) (P tptp.fun_int_bool) (P3 tptp.fun_int_bool) (A3 tptp.set_int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) D4)) (=> (exists ((Z3 tptp.int)) (forall ((X3 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z3) X3)) (= (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P3 X3)))))) (=> (forall ((X3 tptp.int)) (=> (forall ((Xa2 tptp.int)) (=> (tptp.member_int Xa2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (forall ((Xb2 tptp.int)) (=> (tptp.member_int Xb2 A3) (not (= X3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xb2) Xa2))))))) (=> (tptp.pp (tptp.aa_int_bool P X3)) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X3) D4)))))) (=> (forall ((X3 tptp.int) (K2 tptp.int)) (= (tptp.pp (tptp.aa_int_bool P3 X3)) (tptp.pp (tptp.aa_int_bool P3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int X3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K2) D4)))))) (= (exists ((X_13 tptp.int)) (tptp.pp (tptp.aa_int_bool P X_13))) (or (exists ((X2 tptp.int)) (and (tptp.member_int X2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (tptp.pp (tptp.aa_int_bool P3 X2)))) (exists ((X2 tptp.int)) (and (tptp.member_int X2 (tptp.set_or1266510415728281911st_int tptp.one_one_int D4)) (exists ((Xa4 tptp.int)) (and (tptp.member_int Xa4 A3) (tptp.pp (tptp.aa_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xa4) X2)))))))))))))))
% 19.22/19.43  (assume a8490 (= tptp.res (tptp.the_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.43  (assume a8491 (forall ((Mi tptp.nat) (Ma tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary)) Deg)) (=> (not (= Mi Ma)) (= (tptp.the_nat (tptp.vEBT_vebt_maxt Summary)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.43  (assume a8492 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set (tptp.vEBT_VEBT_set_vebt T)) X)) (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X))))))
% 19.22/19.43  (assume a8493 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set (tptp.vEBT_VEBT_set_vebt T)) X))))))
% 19.22/19.43  (assume a8494 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.some_nat X)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 19.22/19.43  (assume a8495 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y) Z) (= (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat X)) (tptp.some_nat Y)) (tptp.some_nat Z)))))
% 19.22/19.43  (assume a8496 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)))))
% 19.22/19.43  (assume a8497 (= tptp.vEBT_VEBT_add (tptp.vEBT_V4262088993061758097ft_nat tptp.plus_plus_nat)))
% 19.22/19.43  (assume a8498 (= tptp.vEBT_VEBT_mul (tptp.vEBT_V4262088993061758097ft_nat tptp.times_times_nat)))
% 19.22/19.43  (assume a8499 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat Maxi)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) Maxi))))))
% 19.22/19.43  (assume a8500 (forall ((T tptp.vEBT_VEBT) (N tptp.nat) (Maxi tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) (tptp.some_nat Maxi)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X) Maxi)))))))
% 19.22/19.43  (assume a8501 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= (tptp.vEBT_vebt_maxt T) tptp.none_nat) (= (tptp.vEBT_VEBT_set_vebt T) tptp.bot_bot_set_nat)))))
% 19.22/19.43  (assume a8502 (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary) tptp.xa) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.43  (assume a8503 (and (=> (= (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary) tptp.xa) tptp.none_nat)) (=> (not (= (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary) tptp.xa) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 19.22/19.43  (assume a8504 (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary)) (tptp.the_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 19.22/19.43  (assume a8505 (and (=> (and (not (= (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat)) (tptp.pp (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary) tptp.xa) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (=> (not (and (not (= (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat)) (tptp.pp (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))) (and (=> (= (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary) tptp.xa) tptp.none_nat)) (=> (not (= (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.mi) tptp.ma)) tptp.deg tptp.treeList tptp.summary) tptp.xa) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT tptp.treeList (tptp.the_nat (tptp.vEBT_vebt_succ tptp.summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))
% 19.22/19.43  (assume a8506 (or (= (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat) (not (tptp.pp (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT tptp.treeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.43  (assume a8507 (forall ((L tptp.num) (R2 tptp.nat) (Q2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) R2)) (= (tptp.unique5026877609467782581ep_nat L (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q2) R2)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Q2)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat R2) (tptp.aa_num_nat tptp.numeral_numeral_nat L))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat L)) R2))) (= (tptp.unique5026877609467782581ep_nat L (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q2) R2)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Q2)) R2))))))
% 19.22/19.43  (assume a8508 (forall ((L tptp.num) (R2 tptp.int) (Q2 tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int L)) R2)) (= (tptp.unique5024387138958732305ep_int L (tptp.product_Pair_int_int Q2 R2)) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Q2)) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int R2) (tptp.aa_num_int tptp.numeral_numeral_int L))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int L)) R2))) (= (tptp.unique5024387138958732305ep_int L (tptp.product_Pair_int_int Q2 R2)) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Q2) R2))))))
% 19.22/19.43  (assume a8509 (forall ((L tptp.num) (R2 tptp.code_integer) (Q2 tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger L)) R2)) (= (tptp.unique4921790084139445826nteger L (tptp.produc1086072967326762835nteger Q2 R2)) (tptp.produc1086072967326762835nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Q2) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger R2 (tptp.numera6620942414471956472nteger L))))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger L)) R2))) (= (tptp.unique4921790084139445826nteger L (tptp.produc1086072967326762835nteger Q2 R2)) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Q2) R2))))))
% 19.22/19.43  (assume a8510 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (tptp.pp (tptp.vEBT_VEBT_less (tptp.some_nat X) (tptp.some_nat Y))))))
% 19.22/19.43  (assume a8511 (forall ((X tptp.produc8114805097830739791at_num)) (not (forall ((F2 tptp.fun_nat_fun_num_num) (A4 tptp.nat) (B4 tptp.nat) (Acc2 tptp.num)) (not (= X (tptp.produc460779904311030791at_num F2 (tptp.produc1195630363706982562at_num A4 (tptp.product_Pair_nat_num B4 Acc2)))))))))
% 19.22/19.43  (assume a8512 (forall ((X tptp.produc9217583074051984497at_nat)) (not (forall ((F2 tptp.fun_nat_fun_nat_nat) (A4 tptp.nat) (B4 tptp.nat) (Acc2 tptp.nat)) (not (= X (tptp.produc2818902965508115497at_nat F2 (tptp.produc487386426758144856at_nat A4 (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B4) Acc2)))))))))
% 19.22/19.43  (assume a8513 (forall ((X tptp.product_prod_num_num)) (=> (not (= X (tptp.product_Pair_num_num tptp.one tptp.one))) (=> (forall ((N3 tptp.num)) (not (= X (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N3))))) (=> (forall ((N3 tptp.num)) (not (= X (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N3))))) (=> (forall ((M4 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) tptp.one)))) (=> (forall ((M4 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit0 N3))))) (=> (forall ((M4 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit1 N3))))) (=> (forall ((M4 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) tptp.one)))) (=> (forall ((M4 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit0 N3))))) (not (forall ((M4 tptp.num) (N3 tptp.num)) (not (= X (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit1 N3))))))))))))))))
% 19.22/19.43  (assume a8514 (forall ((T tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (= (tptp.vEBT_vebt_mint T) tptp.none_nat))))
% 19.22/19.43  (assume a8515 (forall ((T tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_mint T) tptp.none_nat) (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)))))
% 19.22/19.43  (assume a8516 (forall ((V tptp.product_prod_nat_nat) (Vb tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb Vc)) X)))))
% 19.22/19.43  (assume a8517 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat))) (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))))
% 19.22/19.43  (assume a8518 (forall ((T tptp.vEBT_VEBT)) (=> (not (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T))) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X_1))))))
% 19.22/19.43  (assume a8519 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull T)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member T) X))))))
% 19.22/19.43  (assume a8520 (forall ((T tptp.vEBT_VEBT)) (= (tptp.vEBT_VEBT_set_vebt T) (tptp.collect_nat (tptp.vEBT_vebt_member T)))))
% 19.22/19.43  (assume a8521 (forall ((Deg tptp.nat) (Mi tptp.nat) (X tptp.nat) (Ma tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi) X)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat))) (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 19.22/19.43  (assume a8522 (forall ((X4 tptp.nat) (Xa2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X4) Xa2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa2))))))
% 19.22/19.43  (assume a8523 (forall ((A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (= (tptp.ord_le2529575680413868914d_enat A3 B3) (tptp.ord_le5412861186789288264t_bool (tptp.aTP_Lamm_a A3) (tptp.aTP_Lamm_a B3)))))
% 19.22/19.43  (assume a8524 (forall ((A3 tptp.set_complex) (B3 tptp.set_complex)) (= (tptp.ord_less_set_complex A3 B3) (tptp.ord_le3776645642988763374x_bool (tptp.aTP_Lamm_aa A3) (tptp.aTP_Lamm_aa B3)))))
% 19.22/19.43  (assume a8525 (forall ((A3 tptp.set_real) (B3 tptp.set_real)) (= (tptp.ord_less_set_real A3 B3) (tptp.ord_le7519368973566061808l_bool (tptp.aTP_Lamm_ab A3) (tptp.aTP_Lamm_ab B3)))))
% 19.22/19.43  (assume a8526 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.ord_less_set_nat A3 B3) (tptp.ord_le6841235830588351564t_bool (tptp.aTP_Lamm_ad A3) (tptp.aTP_Lamm_ad B3)))))
% 19.22/19.43  (assume a8527 (forall ((A3 tptp.set_int) (B3 tptp.set_int)) (= (tptp.ord_less_set_int A3 B3) (tptp.ord_le3716944864119727344t_bool (tptp.aTP_Lamm_ae A3) (tptp.aTP_Lamm_ae B3)))))
% 19.22/19.43  (assume a8528 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.ord_less_set_complex (tptp.collect_complex (tptp.aTP_Lamm_af A)) (tptp.collect_complex (tptp.aTP_Lamm_af B2))) (and (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex A) B2)) (not (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex B2) A)))))))
% 19.22/19.43  (assume a8529 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.ord_less_set_real (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_ag A)) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_ag B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)) (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real B2) A)))))))
% 19.22/19.43  (assume a8530 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.ord_less_set_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ah A)) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ah B2))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat B2) A)))))))
% 19.22/19.43  (assume a8531 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.ord_less_set_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ai A)) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ai B2))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int B2) A)))))))
% 19.22/19.43  (assume a8532 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.ord_le1307284697595431911nteger (tptp.collect_Code_integer (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_aj A)) (tptp.collect_Code_integer (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_aj B2))) (and (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)) (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer B2) A)))))))
% 19.22/19.43  (assume a8533 (forall ((A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (= (tptp.minus_925952699566721837d_enat A3 B3) (tptp.collec4429806609662206161d_enat (tptp.aa_set3329637325543298558t_bool (tptp.aTP_Lamm_ak A3) B3)))))
% 19.22/19.43  (assume a8534 (forall ((A3 tptp.set_complex) (B3 tptp.set_complex)) (= (tptp.minus_811609699411566653omplex A3 B3) (tptp.collect_complex (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_al A3) B3)))))
% 19.22/19.43  (assume a8535 (forall ((A3 tptp.set_real) (B3 tptp.set_real)) (= (tptp.minus_minus_set_real A3 B3) (tptp.collect_real (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_am A3) B3)))))
% 19.22/19.43  (assume a8536 (forall ((A3 tptp.set_list_nat) (B3 tptp.set_list_nat)) (= (tptp.minus_7954133019191499631st_nat A3 B3) (tptp.collect_list_nat (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_an A3) B3)))))
% 19.22/19.43  (assume a8537 (forall ((A3 tptp.set_int) (B3 tptp.set_int)) (= (tptp.minus_minus_set_int A3 B3) (tptp.collect_int (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_ao A3) B3)))))
% 19.22/19.43  (assume a8538 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.minus_minus_set_nat A3 B3) (tptp.collect_nat (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ap A3) B3)))))
% 19.22/19.43  (assume a8539 (forall ((A3 tptp.set_Extended_enat) (B3 tptp.set_Extended_enat)) (= (tptp.minus_925952699566721837d_enat A3 B3) (tptp.collec4429806609662206161d_enat (tptp.minus_396011825176962637t_bool (tptp.aTP_Lamm_a A3) (tptp.aTP_Lamm_a B3))))))
% 19.22/19.43  (assume a8540 (forall ((A3 tptp.set_complex) (B3 tptp.set_complex)) (= (tptp.minus_811609699411566653omplex A3 B3) (tptp.collect_complex (tptp.minus_5423061390740260265x_bool (tptp.aTP_Lamm_aa A3) (tptp.aTP_Lamm_aa B3))))))
% 19.22/19.43  (assume a8541 (forall ((A3 tptp.set_real) (B3 tptp.set_real)) (= (tptp.minus_minus_set_real A3 B3) (tptp.collect_real (tptp.minus_6582619742941512235l_bool (tptp.aTP_Lamm_ab A3) (tptp.aTP_Lamm_ab B3))))))
% 19.22/19.43  (assume a8542 (forall ((A3 tptp.set_list_nat) (B3 tptp.set_list_nat)) (= (tptp.minus_7954133019191499631st_nat A3 B3) (tptp.collect_list_nat (tptp.minus_8064998606961450743t_bool (tptp.aTP_Lamm_ac A3) (tptp.aTP_Lamm_ac B3))))))
% 19.22/19.43  (assume a8543 (forall ((A3 tptp.set_int) (B3 tptp.set_int)) (= (tptp.minus_minus_set_int A3 B3) (tptp.collect_int (tptp.minus_7727386867957376939t_bool (tptp.aTP_Lamm_ae A3) (tptp.aTP_Lamm_ae B3))))))
% 19.22/19.43  (assume a8544 (forall ((A3 tptp.set_nat) (B3 tptp.set_nat)) (= (tptp.minus_minus_set_nat A3 B3) (tptp.collect_nat (tptp.minus_1628305797571225351t_bool (tptp.aTP_Lamm_ad A3) (tptp.aTP_Lamm_ad B3))))))
% 19.22/19.43  (assume a8545 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N)))))
% 19.22/19.43  (assume a8546 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N)))))
% 19.22/19.43  (assume a8547 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N)))))
% 19.22/19.43  (assume a8548 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))))
% 19.22/19.43  (assume a8549 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N)))))
% 19.22/19.43  (assume a8550 (= tptp.aTP_Lamm_aq (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.zero_zero_real)))
% 19.22/19.43  (assume a8551 (= tptp.aTP_Lamm_ar (tptp.aa_rat_fun_rat_rat tptp.times_times_rat tptp.zero_zero_rat)))
% 19.22/19.43  (assume a8552 (= tptp.aTP_Lamm_as (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.zero_zero_nat)))
% 19.22/19.43  (assume a8553 (= tptp.aTP_Lamm_at (tptp.aa_int_fun_int_int tptp.times_times_int tptp.zero_zero_int)))
% 19.22/19.43  (assume a8554 (forall ((C tptp.real)) (= (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_au C) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real C))))
% 19.22/19.43  (assume a8555 (forall ((C tptp.rat)) (= (tptp.aTP_Lamm_av C) (tptp.aa_rat_fun_rat_rat tptp.times_times_rat C))))
% 19.22/19.43  (assume a8556 (forall ((C tptp.nat)) (= (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aw C) (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C))))
% 19.22/19.43  (assume a8557 (forall ((C tptp.int)) (= (tptp.aTP_Lamm_ax C) (tptp.aa_int_fun_int_int tptp.times_times_int C))))
% 19.22/19.43  (assume a8558 (= tptp.aTP_Lamm_ay (tptp.times_times_complex tptp.one_one_complex)))
% 19.22/19.43  (assume a8559 (= tptp.aTP_Lamm_az (tptp.aa_rea7340605660300375871l_real tptp.times_times_real tptp.one_one_real)))
% 19.22/19.43  (assume a8560 (= tptp.aTP_Lamm_ba (tptp.aa_rat_fun_rat_rat tptp.times_times_rat tptp.one_one_rat)))
% 19.22/19.43  (assume a8561 (= tptp.aTP_Lamm_bb (tptp.aa_nat_fun_nat_nat tptp.times_times_nat tptp.one_one_nat)))
% 19.22/19.43  (assume a8562 (= tptp.aTP_Lamm_bc (tptp.aa_int_fun_int_int tptp.times_times_int tptp.one_one_int)))
% 19.22/19.43  (assume a8563 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.ord_le211207098394363844omplex (tptp.collect_complex (tptp.aTP_Lamm_af A)) (tptp.collect_complex (tptp.aTP_Lamm_af B2))) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex A) B2)))))
% 19.22/19.43  (assume a8564 (forall ((A tptp.real) (B2 tptp.real)) (= (tptp.ord_less_eq_set_real (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_ag A)) (tptp.collect_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_ag B2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real A) B2)))))
% 19.22/19.43  (assume a8565 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.ord_less_eq_set_int (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ai A)) (tptp.collect_int (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ai B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int A) B2)))))
% 19.22/19.43  (assume a8566 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.ord_le7084787975880047091nteger (tptp.collect_Code_integer (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_aj A)) (tptp.collect_Code_integer (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_aj B2))) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer A) B2)))))
% 19.22/19.43  (assume a8567 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.ord_less_eq_set_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ah A)) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ah B2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat A) B2)))))
% 19.22/19.43  (assume a8568 (forall ((X4 tptp.nat) (Xa2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Xa2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa2))))))
% 19.22/19.43  (assume a8569 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8570 (forall ((Z tptp.real) (W tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8571 (forall ((Z tptp.rat) (W tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8572 (forall ((Z tptp.nat) (W tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8573 (forall ((Z tptp.int) (W tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8574 (forall ((N tptp.num)) (= (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.numera6690914467698888265omplex N)) (tptp.numera6690914467698888265omplex N))) tptp.one_one_complex))))
% 19.22/19.43  (assume a8575 (forall ((N tptp.num)) (= (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_num_real tptp.numeral_numeral_real N)) (tptp.aa_num_real tptp.numeral_numeral_real N))) tptp.one_one_real))))
% 19.22/19.43  (assume a8576 (forall ((N tptp.num)) (= (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_num_rat tptp.numeral_numeral_rat N)) (tptp.aa_num_rat tptp.numeral_numeral_rat N))) tptp.one_one_rat))))
% 19.22/19.43  (assume a8577 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) tptp.one_one_nat))))
% 19.22/19.43  (assume a8578 (forall ((N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.one_one_int))))
% 19.22/19.43  (assume a8579 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_complex (tptp.power_power_complex Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8580 (forall ((Z tptp.real) (W tptp.num)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Z) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8581 (forall ((Z tptp.rat) (W tptp.num)) (= (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Z) (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_rat (tptp.power_power_rat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8582 (forall ((Z tptp.nat) (W tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Z) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8583 (forall ((Z tptp.int) (W tptp.num)) (= (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 W))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Z) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W)))) (tptp.aa_nat_int (tptp.power_power_int Z) (tptp.aa_num_nat tptp.numeral_numeral_nat W))))))
% 19.22/19.43  (assume a8584 (forall ((X4 tptp.nat) (Xa2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X4) Xa2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa2))))))
% 19.22/19.43  (assume a8585 (forall ((X4 tptp.nat) (Xa2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X4) Xa2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa2))))))
% 19.22/19.43  (assume a8586 (forall ((X4 tptp.nat) (Xa2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X4) Xa2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa2))))))
% 19.22/19.43  (assume a8587 (forall ((X4 tptp.nat) (Xa2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X4) Xa2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa2))))))
% 19.22/19.43  (assume a8588 (forall ((X4 tptp.nat) (Xa2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X4) Xa2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X4)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Xa2))))))
% 19.22/19.43  (assume a8589 (forall ((Xs tptp.list_complex)) (= (tptp.set_complex2 Xs) (tptp.collect_complex (tptp.aTP_Lamm_bd Xs)))))
% 19.22/19.43  (assume a8590 (forall ((Xs tptp.list_real)) (= (tptp.set_real2 Xs) (tptp.collect_real (tptp.aTP_Lamm_be Xs)))))
% 19.22/19.43  (assume a8591 (forall ((Xs tptp.list_list_nat)) (= (tptp.set_list_nat2 Xs) (tptp.collect_list_nat (tptp.aTP_Lamm_bf Xs)))))
% 19.22/19.43  (assume a8592 (forall ((Xs tptp.list_VEBT_VEBT)) (= (tptp.set_VEBT_VEBT2 Xs) (tptp.collect_VEBT_VEBT (tptp.aTP_Lamm_bg Xs)))))
% 19.22/19.43  (assume a8593 (forall ((Xs tptp.list_bool)) (= (tptp.set_bool2 Xs) (tptp.collect_bool (tptp.aTP_Lamm_bh Xs)))))
% 19.22/19.43  (assume a8594 (forall ((Xs tptp.list_nat)) (= (tptp.set_nat2 Xs) (tptp.collect_nat (tptp.aTP_Lamm_bi Xs)))))
% 19.22/19.43  (assume a8595 (forall ((Xs tptp.list_int)) (= (tptp.set_int2 Xs) (tptp.collect_int (tptp.aTP_Lamm_bj Xs)))))
% 19.22/19.43  (assume a8596 (forall ((Z4 tptp.int) (Z tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z4) tptp.zero_zero_int)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 Z4)) (tptp.aa_int_nat tptp.nat2 Z))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Z4) tptp.zero_zero_int))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_int_nat tptp.nat2 Z)) (tptp.aa_int_nat tptp.nat2 Z4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z) Z4)) tptp.zero_zero_int)) tptp.zero_zero_nat) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Z) Z4))))))))
% 19.22/19.43  (assume a8597 (forall ((X tptp.nat)) (= (tptp.aa_nat_set_nat tptp.nat_set_decode X) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bk X)))))
% 19.22/19.43  (assume a8598 (forall ((N tptp.nat) (A tptp.code_integer)) (= (tptp.bit_ri6519982836138164636nteger N A) (tptp.if_Code_integer (tptp.aa_nat_bool (tptp.bit_se9216721137139052372nteger (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) A)) N) (tptp.plus_p5714425477246183910nteger (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) A) (tptp.bit_se7788150548672797655nteger (tptp.aa_nat_nat tptp.suc N) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))) (tptp.bit_se1745604003318907178nteger (tptp.aa_nat_nat tptp.suc N) A)))))
% 19.22/19.43  (assume a8599 (forall ((N tptp.nat) (A tptp.int)) (= (tptp.aa_int_int (tptp.bit_ri631733984087533419it_int N) A) (tptp.aa_int_int (tptp.if_int (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A)) N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat tptp.suc N)) A)))))
% 19.22/19.43  (assume a8600 (forall ((N tptp.nat) (A tptp.complex)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) tptp.one_one_complex)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_bl A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_complex))))))
% 19.22/19.43  (assume a8601 (forall ((N tptp.nat) (A tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) tptp.one_one_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_bm A) tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_real))))))
% 19.22/19.43  (assume a8602 (forall ((N tptp.nat) (A tptp.rat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) tptp.one_one_rat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) (tptp.aa_rat_rat (tptp.set_fo1949268297981939178at_rat (tptp.aTP_Lamm_bn A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_rat))))))
% 19.22/19.43  (assume a8603 (forall ((N tptp.nat) (A tptp.int)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) tptp.one_one_int)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) (tptp.aa_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_bo A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_int))))))
% 19.22/19.43  (assume a8604 (forall ((N tptp.nat) (A tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) tptp.one_one_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_bp A) tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) tptp.one_one_nat))))))
% 19.22/19.43  (assume a8605 (forall ((K tptp.nat) (A tptp.complex)) (and (=> (= K tptp.zero_zero_nat) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) tptp.one_one_complex)) (=> (not (= K tptp.zero_zero_nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) K) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_bq A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)) tptp.one_one_complex)) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex K)))))))
% 19.22/19.43  (assume a8606 (forall ((K tptp.nat) (A tptp.rat)) (and (=> (= K tptp.zero_zero_nat) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K) tptp.one_one_rat)) (=> (not (= K tptp.zero_zero_nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) K) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_rat_rat (tptp.set_fo1949268297981939178at_rat (tptp.aTP_Lamm_br A) tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)) tptp.one_one_rat)) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat K)))))))
% 19.22/19.43  (assume a8607 (forall ((K tptp.nat) (A tptp.real)) (and (=> (= K tptp.zero_zero_nat) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) tptp.one_one_real)) (=> (not (= K tptp.zero_zero_nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_bs A) tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) tptp.one_one_nat)) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real K)))))))
% 19.22/19.43  (assume a8608 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va2 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList Summary)) X)) (=> (not (= X Mi)) (=> (not (= X Ma)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma) X))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))))))))
% 19.22/19.43  (assume a8609 (forall ((X tptp.nat) (Mi tptp.nat) (Ma tptp.nat) (Va2 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList Summary) X) (tptp.some_nat Mi))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi))) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList Summary) X) (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat))) (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList (tptp.the_nat (tptp.vEBT_vebt_succ Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))
% 19.22/19.43  (assume a8610 (forall ((K tptp.int)) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_real tptp.ring_1_of_int_real K) tptp.zero_zero_real)) (=> (not (= K tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real K) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int tptp.uminus_uminus_int K))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_real tptp.ring_1_of_int_real K) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_real)))))))))
% 19.22/19.43  (assume a8611 (forall ((K tptp.int)) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_int tptp.ring_1_of_int_int K) tptp.zero_zero_int)) (=> (not (= K tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.ring_1_of_int_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int tptp.uminus_uminus_int K))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_int tptp.ring_1_of_int_int K) (tptp.aa_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int tptp.ring_1_of_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_int)))))))))
% 19.22/19.43  (assume a8612 (forall ((K tptp.int)) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K) tptp.zero_zero_complex)) (=> (not (= K tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K) (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int tptp.uminus_uminus_int K))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_complex tptp.ring_17405671764205052669omplex K) (tptp.aa_complex_complex (tptp.if_complex (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_complex tptp.ring_17405671764205052669omplex (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_complex)))))))))
% 19.22/19.43  (assume a8613 (forall ((K tptp.int)) (and (=> (= K tptp.zero_zero_int) (= (tptp.ring_18347121197199848620nteger K) tptp.zero_z3403309356797280102nteger)) (=> (not (= K tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.ring_18347121197199848620nteger K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.ring_18347121197199848620nteger (tptp.aa_int_int tptp.uminus_uminus_int K))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.ring_18347121197199848620nteger K) (tptp.if_Code_integer (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.ring_18347121197199848620nteger (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.ring_18347121197199848620nteger (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_Code_integer)))))))))
% 19.22/19.43  (assume a8614 (forall ((K tptp.int)) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K) tptp.zero_zero_rat)) (=> (not (= K tptp.zero_zero_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int tptp.uminus_uminus_int K))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (= (tptp.aa_int_rat tptp.ring_1_of_int_rat K) (tptp.aa_rat_rat (tptp.if_rat (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.one_one_rat)))))))))
% 19.22/19.43  (assume a8615 (forall ((Mi tptp.nat) (Ma tptp.nat) (V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vc tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc V) TreeList Vc)) X)) (or (= X Mi) (= X Ma) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))))))))
% 19.22/19.43  (assume a8616 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.topolo6980174941875973593q_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_bt X)))))
% 19.22/19.43  (assume a8617 (forall ((Uy tptp.option4927543243414619207at_nat) (V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_Node Uy (tptp.aa_nat_nat tptp.suc V) TreeList S)) X)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))
% 19.22/19.43  (assume a8618 (forall ((N tptp.nat) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_vebt_buildup N)) X)))))
% 19.22/19.43  (assume a8619 (forall ((N tptp.nat) (X tptp.nat)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_vebt_buildup N)) X)))))
% 19.22/19.43  (assume a8620 (forall ((T tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions T) X)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member T) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima T) X))))))
% 19.22/19.43  (assume a8621 (forall ((Tree tptp.vEBT_VEBT) (N tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Tree) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member Tree) X)) (or (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member Tree) X)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima Tree) X)))))))
% 19.22/19.43  (assume a8622 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.topolo6980174941875973593q_real (tptp.aa_real_fun_nat_real tptp.power_power_real X))))))
% 19.22/19.43  (assume a8623 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2))) (not (or (= Xa Mi2) (= Xa Ma2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2))) (not (or (= Xa Mi2) (= Xa Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))) (not (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2))) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))))))))
% 19.22/19.43  (assume a8624 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (not (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2))) (not (=> (not (= Xa Mi2)) (=> (not (= Xa Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))
% 19.22/19.43  (assume a8625 (forall ((Info tptp.option4927543243414619207at_nat) (Ts tptp.list_VEBT_VEBT) (S tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S) X) (tptp.vEBT_Node Info (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts S))))
% 19.22/19.43  (assume a8626 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_bu Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 19.22/19.43  (assume a8627 (forall ((Z tptp.real) (N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups129246275422532515t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_bv Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 19.22/19.43  (assume a8628 (forall ((Z tptp.rat) (N tptp.nat)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat Z) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Z) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_bw Z) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))
% 19.22/19.43  (assume a8629 (forall ((A tptp.bool) (B2 tptp.bool)) (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B2)) tptp.zero_zero_nat)))))
% 19.22/19.43  (assume a8630 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (=> (= N tptp.one_one_nat) (exists ((A4 tptp.bool) (B4 tptp.bool)) (= T (tptp.vEBT_Leaf A4 B4)))))))
% 19.22/19.43  (assume a8631 (forall ((T tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A4 tptp.bool) (B4 tptp.bool)) (= T (tptp.vEBT_Leaf A4 B4))))))
% 19.22/19.43  (assume a8632 (forall ((T tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) tptp.one_one_nat)) (exists ((A5 tptp.bool) (B6 tptp.bool)) (= T (tptp.vEBT_Leaf A5 B6))))))
% 19.22/19.43  (assume a8633 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_complex)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_complex)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.groups6464643781859351333omplex G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_complex G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.22/19.43  (assume a8634 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_real)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.22/19.43  (assume a8635 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_rat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_rat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.22/19.43  (assume a8636 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.22/19.43  (assume a8637 (forall ((N tptp.nat) (M tptp.nat) (G tptp.fun_nat_int)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc N)) M))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))))
% 19.22/19.43  (assume a8638 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (A3 tptp.set_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_bx F) A) A3)) A) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.groups708209901874060359at_nat F A3)) A))))
% 19.22/19.43  (assume a8639 (forall ((F tptp.fun_nat_int) (A tptp.int) (A3 tptp.set_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.groups705719431365010083at_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_by F) A) A3)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.groups705719431365010083at_int F A3)) A))))
% 19.22/19.43  (assume a8640 (forall ((F tptp.fun_int_int) (A tptp.int) (A3 tptp.set_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.groups1705073143266064639nt_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_bz F) A) A3)) A) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.groups1705073143266064639nt_int F A3)) A))))
% 19.22/19.43  (assume a8641 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) X3)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S3) X3)))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3) X3)))) (=> (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V3)) TreeList2 Summary2) X3)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) X3)))))))))))
% 19.22/19.43  (assume a8642 (forall ((X tptp.nat) (A tptp.bool) (B2 tptp.bool)) (and (=> (= X tptp.zero_zero_nat) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B2) X) (tptp.vEBT_Leaf tptp.fTrue B2))) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B2) X) (tptp.vEBT_Leaf A tptp.fTrue))) (=> (not (= X tptp.one_one_nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Leaf A B2) X) (tptp.vEBT_Leaf A B2))))))))
% 19.22/19.43  (assume a8643 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_ca G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8644 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_cb G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8645 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K))) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_cc G) K) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8646 (forall ((G tptp.fun_nat_int) (M tptp.nat) (K tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) K))) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_cd G) K) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8647 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) X3)))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw) X3)))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Uy2 Uz) X3)))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2) X3)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) X3)))))))))))
% 19.22/19.43  (assume a8648 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu tptp.bool) (B4 tptp.bool)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu B4) tptp.zero_zero_nat)))) (=> (forall ((Uv tptp.bool) (Uw tptp.bool) (N3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uv Uw) (tptp.aa_nat_nat tptp.suc N3))))) (=> (forall ((Ux tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT) (Va3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux Uy2 Uz) Va3)))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (Ve2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Vc2 Vd2) Ve2)))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vg2 tptp.list_VEBT_VEBT) (Vh2 tptp.vEBT_VEBT) (Vi2 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2) Vi2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) X3))))))))))))
% 19.22/19.43  (assume a8649 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool) (Uw tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Uw)))) (=> (forall ((Ux tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT) (Uz tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy2) Uz)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) X3)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2) X3)))) (not (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2) X3)))))))))))
% 19.22/19.43  (assume a8650 (forall ((X tptp.produc9072475918466114483BT_nat)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) X3)))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT) (Ux tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw) Ux)))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT) (X3 tptp.nat)) (not (= X (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3) X3)))))))))
% 19.22/19.43  (assume a8651 (forall ((A tptp.bool) (B2 tptp.bool)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Leaf A B2)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.43  (assume a8652 (forall ((A tptp.bool) (B2 tptp.bool) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.vEBT_Leaf A B2)) X)) (and (=> (= X tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) (tptp.pp B2)) (= X tptp.one_one_nat)))))))
% 19.22/19.43  (assume a8653 (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))
% 19.22/19.43  (assume a8654 (forall ((Uv2 tptp.bool) (Uw2 tptp.bool) (N tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uv2 Uw2) (tptp.aa_nat_nat tptp.suc N)) tptp.none_nat)))
% 19.22/19.43  (assume a8655 (forall ((A tptp.bool) (B2 tptp.bool) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.vEBT_Leaf A B2)) X)) (and (=> (= X tptp.zero_zero_nat) (tptp.pp A)) (=> (not (= X tptp.zero_zero_nat)) (and (=> (= X tptp.one_one_nat) (tptp.pp B2)) (= X tptp.one_one_nat)))))))
% 19.22/19.43  (assume a8656 (forall ((G tptp.fun_nat_nat) (N tptp.nat) (M tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_ce G) N) M) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)))))
% 19.22/19.43  (assume a8657 (forall ((G tptp.fun_nat_int) (N tptp.nat) (M tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aa_nat1293065384339088724at_int (tptp.aTP_Lamm_cf G) N) M) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M)))))
% 19.22/19.43  (assume a8658 (forall ((Ux2 tptp.nat) (Uy tptp.list_VEBT_VEBT) (Uz2 tptp.vEBT_VEBT) (Va2 tptp.nat)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux2 Uy Uz2) Va2) tptp.none_nat)))
% 19.22/19.43  (assume a8659 (forall ((G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.43  (assume a8660 (forall ((G tptp.fun_nat_rat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.43  (assume a8661 (forall ((G tptp.fun_nat_nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.43  (assume a8662 (forall ((G tptp.fun_nat_int) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.43  (assume a8663 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G M)) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 19.22/19.43  (assume a8664 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G M)) (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 19.22/19.43  (assume a8665 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G M)) (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 19.22/19.43  (assume a8666 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G M)) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)))))))
% 19.22/19.43  (assume a8667 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8668 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8669 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8670 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8671 (forall ((V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) X)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V)) TreeList Summary))))
% 19.22/19.43  (assume a8672 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real G M)) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_cg G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8673 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_rat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat G M)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_ch G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8674 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_nat G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat G M)) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_ca G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8675 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.aa_nat_int G (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int G M)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_cb G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))))
% 19.22/19.43  (assume a8676 (forall ((N tptp.nat)) (= (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex N) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_bb (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 19.22/19.43  (assume a8677 (forall ((N tptp.nat)) (= (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat N) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_bb (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 19.22/19.43  (assume a8678 (forall ((N tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int N) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_bb (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 19.22/19.43  (assume a8679 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_bb (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 19.22/19.43  (assume a8680 (forall ((N tptp.nat)) (= (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_bb (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))))
% 19.22/19.43  (assume a8681 (forall ((F tptp.fun_nat_complex) (A tptp.nat) (B2 tptp.nat)) (= (tptp.groups6464643781859351333omplex F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2)) (tptp.aa_complex_complex (tptp.set_fo1517530859248394432omplex (tptp.aTP_Lamm_ci F) A B2) tptp.one_one_complex))))
% 19.22/19.43  (assume a8682 (forall ((F tptp.fun_nat_real) (A tptp.nat) (B2 tptp.nat)) (= (tptp.groups129246275422532515t_real F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.set_fo3111899725591712190t_real (tptp.aTP_Lamm_cj F) A) B2) tptp.one_one_real))))
% 19.22/19.43  (assume a8683 (forall ((F tptp.fun_nat_rat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.groups73079841787564623at_rat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2)) (tptp.aa_rat_rat (tptp.set_fo1949268297981939178at_rat (tptp.aTP_Lamm_ck F) A B2) tptp.one_one_rat))))
% 19.22/19.43  (assume a8684 (forall ((F tptp.fun_nat_nat) (A tptp.nat) (B2 tptp.nat)) (= (tptp.groups708209901874060359at_nat F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.set_fo2584398358068434914at_nat (tptp.aTP_Lamm_cl F) A) B2) tptp.one_one_nat))))
% 19.22/19.43  (assume a8685 (forall ((F tptp.fun_nat_int) (A tptp.nat) (B2 tptp.nat)) (= (tptp.groups705719431365010083at_int F (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2)) (tptp.aa_int_int (tptp.set_fo2581907887559384638at_int (tptp.aTP_Lamm_cm F) A B2) tptp.one_one_int))))
% 19.22/19.43  (assume a8686 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_real) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 19.22/19.43  (assume a8687 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_rat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 19.22/19.43  (assume a8688 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_nat) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 19.22/19.43  (assume a8689 (forall ((M tptp.nat) (N tptp.nat) (G tptp.fun_nat_int) (P2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))) (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) P2))))))))
% 19.22/19.43  (assume a8690 (forall ((B2 tptp.bool) (Uu2 tptp.bool)) (and (=> (tptp.pp B2) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uu2 B2) tptp.zero_zero_nat) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B2)) (= (tptp.vEBT_vebt_succ (tptp.vEBT_Leaf Uu2 B2) tptp.zero_zero_nat) tptp.none_nat)))))
% 19.22/19.43  (assume a8691 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_bb (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc N)) M)))))))
% 19.22/19.43  (assume a8692 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_cn A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8693 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups129246275422532515t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_co A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8694 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_cp A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8695 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_cq A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8696 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_cr A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8697 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) N) (tptp.groups6464643781859351333omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_cs A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 19.22/19.43  (assume a8698 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) N) (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ct A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 19.22/19.43  (assume a8699 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) N) (tptp.groups73079841787564623at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_cu A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 19.22/19.43  (assume a8700 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) N) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_cv A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 19.22/19.43  (assume a8701 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) N) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_cw A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N)))))
% 19.22/19.43  (assume a8702 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat M)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N)) (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_bb (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)) M))))))
% 19.22/19.43  (assume a8703 (forall ((G tptp.fun_nat_real) (M tptp.nat) (N tptp.nat)) (= (tptp.groups129246275422532515t_real G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups129246275422532515t_real (tptp.aTP_Lamm_cx G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8704 (forall ((G tptp.fun_nat_rat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups73079841787564623at_rat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_cy G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8705 (forall ((G tptp.fun_nat_nat) (M tptp.nat) (N tptp.nat)) (= (tptp.groups708209901874060359at_nat G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups708209901874060359at_nat (tptp.aTP_Lamm_cz G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8706 (forall ((G tptp.fun_nat_int) (M tptp.nat) (N tptp.nat)) (= (tptp.groups705719431365010083at_int G (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_da G) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.43  (assume a8707 (forall ((A tptp.complex) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.comm_s2602460028002588243omplex A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups6464643781859351333omplex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_cs A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8708 (forall ((A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.comm_s7457072308508201937r_real A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups129246275422532515t_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ct A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8709 (forall ((A tptp.rat) (N tptp.nat)) (= (tptp.aa_nat_rat (tptp.comm_s4028243227959126397er_rat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups73079841787564623at_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_cu A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8710 (forall ((A tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.comm_s4663373288045622133er_nat A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_cv A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8711 (forall ((A tptp.int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.comm_s4660882817536571857er_int A) (tptp.aa_nat_nat tptp.suc N)) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_cw A) N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.43  (assume a8712 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa)) (tptp.pp Y)) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X (tptp.vEBT_Leaf Uu Uv))) (tptp.pp Y)) (=> (=> (exists ((Ux tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy2))) (tptp.pp Y)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2))) (= (tptp.pp Y) (not (or (= Xa Mi2) (= Xa Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2))) (= (tptp.pp Y) (not (or (= Xa Mi2) (= Xa Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))) (not (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2))) (= (tptp.pp Y) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))
% 19.22/19.43  (assume a8713 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa))) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (not (= X (tptp.vEBT_Leaf Uu Uv)))) (=> (forall ((Ux tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2))) (or (= Xa Mi2) (= Xa Ma2)))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vc2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2))) (or (= Xa Mi2) (= Xa Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))) (not (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 19.22/19.43  (assume a8714 (forall ((A tptp.complex) (K tptp.nat)) (= (tptp.aa_nat_complex (tptp.gbinomial_complex A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.groups6464643781859351333omplex (tptp.aTP_Lamm_db A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_complex tptp.semiri5044797733671781792omplex (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a8715 (forall ((A tptp.rat) (K tptp.nat)) (= (tptp.aa_nat_rat (tptp.gbinomial_rat A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.groups73079841787564623at_rat (tptp.aTP_Lamm_dc A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_rat tptp.semiri773545260158071498ct_rat (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a8716 (forall ((A tptp.real) (K tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.gbinomial_real A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.groups129246275422532515t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dd A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a8717 (forall ((A tptp.nat) (K tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gbinomial_nat A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_de A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a8718 (forall ((A tptp.int) (K tptp.nat)) (= (tptp.aa_nat_int (tptp.gbinomial_int A) (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.groups705719431365010083at_int (tptp.aTP_Lamm_df A) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) K))) (tptp.aa_nat_int tptp.semiri1406184849735516958ct_int (tptp.aa_nat_nat tptp.suc K))))))
% 19.22/19.43  (assume a8719 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa)) (tptp.pp Y)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (= (tptp.pp Y) (not (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat)))))))) (=> (=> (exists ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))) (tptp.pp Y)) (=> (=> (exists ((V3 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Uy2 Uz))) (tptp.pp Y)) (=> (=> (exists ((V3 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2))) (tptp.pp Y)) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2))) (= (tptp.pp Y) (not (=> (not (= Xa Mi2)) (=> (not (= Xa Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))))
% 19.22/19.43  (assume a8720 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa))) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat)))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Uy2 Uz)))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2)))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((Summary2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2))) (=> (not (= Xa Mi2)) (=> (not (= Xa Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))
% 19.22/19.43  (assume a8721 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt A1) A22)) (or (and (exists ((A5 tptp.bool) (B6 tptp.bool)) (= A1 (tptp.vEBT_Leaf A5 B6))) (= A22 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat A22 TreeList3 Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) N5)) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) N5)) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_13)))) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_13)))))))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT)) (and (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat A22 TreeList3 Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) (tptp.aa_nat_nat tptp.suc N5))) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N5))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) (tptp.aa_nat_nat tptp.suc N5))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) X_13)))) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_13)))))))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList3 Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) N5)) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5)) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) N5)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I2)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) I2))))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_13))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi3) Ma3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A22))) (=> (not (= Mi3 Ma3)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N5))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N5) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma3) N5)))) (forall ((X2 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) N5) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X2) N5)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi3) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Ma3))))))))))) (exists ((TreeList3 tptp.list_VEBT_VEBT) (N5 tptp.nat) (Summary3 tptp.vEBT_VEBT) (Mi3 tptp.nat) (Ma3 tptp.nat)) (and (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi3) Ma3)) A22 TreeList3 Summary3)) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X2) N5)))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary3) (tptp.aa_nat_nat tptp.suc N5))) (= (tptp.size_s6755466524823107622T_VEBT TreeList3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N5))) (= A22 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N5) (tptp.aa_nat_nat tptp.suc N5))) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N5)))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I2)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary3) I2))))) (=> (= Mi3 Ma3) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList3))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_13))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi3) Ma3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A22))) (=> (not (= Mi3 Ma3)) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc N5)))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma3) N5) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma3) N5)))) (forall ((X2 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X2) N5) I2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList3 I2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X2) N5)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi3) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Ma3)))))))))))))))
% 19.22/19.43  (assume a8722 (forall ((A1 tptp.vEBT_VEBT) (A22 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt A1) A22)) (=> (=> (exists ((A4 tptp.bool) (B4 tptp.bool)) (= A1 (tptp.vEBT_Leaf A4 B4))) (not (= A22 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M4 tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M4)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4)) (=> (= M4 N3) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M4)) (=> (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) X_12)))) (not (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M4 tptp.nat) (Deg2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M4)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4)) (=> (= M4 (tptp.aa_nat_nat tptp.suc N3)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M4)) (=> (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) X_12)))) (not (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12)))))))))))))))) (=> (forall ((TreeList2 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M4 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M4)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4)) (=> (= M4 N3) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M4)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I4)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) I4))))) (=> (=> (= Mi2 Ma2) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi2) Ma2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2))) (not (=> (not (= Mi2 Ma2)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N3) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma2) N3)))) (forall ((X4 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X4) N3) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X4) N3)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Ma2)))))))))))))))))))))) (not (forall ((TreeList2 tptp.list_VEBT_VEBT) (N3 tptp.nat) (Summary2 tptp.vEBT_VEBT) (M4 tptp.nat) (Deg2 tptp.nat) (Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (= A1 (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Deg2 TreeList2 Summary2)) (=> (= A22 Deg2) (=> (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X4) N3)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary2) M4)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4)) (=> (= M4 (tptp.aa_nat_nat tptp.suc N3)) (=> (= Deg2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N3) M4)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I4)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2) I4))))) (=> (=> (= Mi2 Ma2) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (not (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X4) X_12))))))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Mi2) Ma2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg2))) (not (=> (not (= Mi2 Ma2)) (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M4))) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Ma2) N3) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Ma2) N3)))) (forall ((X4 tptp.nat)) (=> (and (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X4) N3) I4) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT TreeList2 I4)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X4) N3)))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi2) X4)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X4) Ma2))))))))))))))))))))))))))))))
% 19.22/19.43  (assume a8723 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat)) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X3) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M N) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_1)))) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) X_1)))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary)) Deg)))))))))))
% 19.22/19.43  (assume a8724 (forall ((TreeList tptp.list_VEBT_VEBT) (N tptp.nat) (Summary tptp.vEBT_VEBT) (M tptp.nat) (Deg tptp.nat)) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt X3) N)))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt Summary) M)) (=> (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) (=> (= M (tptp.aa_nat_nat tptp.suc N)) (=> (= Deg (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary) X_1)))) (=> (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList))) (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X3) X_1)))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Deg TreeList Summary)) Deg)))))))))))
% 19.22/19.43  (assume a8725 (forall ((V tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Vd tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V) TreeList Vd)) X)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList)))))))
% 19.22/19.43  (assume a8726 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_succ X Xa) Y) (=> (forall ((Uu tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu B4)) (=> (= Xa tptp.zero_zero_nat) (not (and (=> (tptp.pp B4) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B4)) (= Y tptp.none_nat))))))) (=> (=> (exists ((Uv tptp.bool) (Uw tptp.bool)) (= X (tptp.vEBT_Leaf Uv Uw))) (=> (exists ((N3 tptp.nat)) (= Xa (tptp.aa_nat_nat tptp.suc N3))) (not (= Y tptp.none_nat)))) (=> (=> (exists ((Ux tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux Uy2 Uz))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V3 tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Vc2 Vd2))) (not (= Y tptp.none_nat))) (=> (=> (exists ((V3 tptp.product_prod_nat_nat) (Vg2 tptp.list_VEBT_VEBT) (Vh2 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) (= Y (tptp.some_nat Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat))) (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat))))))))))))))))
% 19.22/19.43  (assume a8727 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa))) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat)))))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (not (= X (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw)))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S3 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))
% 19.22/19.43  (assume a8728 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (not (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S3 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3))) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))
% 19.22/19.43  (assume a8729 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa)) (tptp.pp Y)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (= (tptp.pp Y) (not (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat)))))))) (=> (=> (exists ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw))) (tptp.pp Y)) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT)) (=> (exists ((S3 tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3))) (= (tptp.pp Y) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 19.22/19.43  (assume a8730 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_maxt X) Y) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (not (and (=> (tptp.pp B4) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B4)) (and (=> (tptp.pp A4) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A4)) (= Y tptp.none_nat)))))))) (=> (=> (exists ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat)) (=> (exists ((Ux tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux Uy2 Uz))) (not (= Y (tptp.some_nat Ma2)))))))))))
% 19.22/19.43  (assume a8731 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_mint X) Y) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (not (and (=> (tptp.pp A4) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A4)) (and (=> (tptp.pp B4) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B4)) (= Y tptp.none_nat)))))))) (=> (=> (exists ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))) (not (= Y tptp.none_nat))) (not (forall ((Mi2 tptp.nat)) (=> (exists ((Ma2 tptp.nat) (Ux tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux Uy2 Uz))) (not (= Y (tptp.some_nat Mi2)))))))))))
% 19.22/19.43  (assume a8732 (forall ((G tptp.fun_Ex3741802288643809319omplex)) (= (tptp.groups4622424608036095791omplex G tptp.bot_bo7653980558646680370d_enat) tptp.one_one_complex)))
% 19.22/19.43  (assume a8733 (forall ((G tptp.fun_Ex1451620480498224165t_real)) (= (tptp.groups97031904164794029t_real G tptp.bot_bo7653980558646680370d_enat) tptp.one_one_real)))
% 19.22/19.43  (assume a8734 (forall ((G tptp.fun_Ex4152069839811072081at_rat)) (= (tptp.groups2245840878043517529at_rat G tptp.bot_bo7653980558646680370d_enat) tptp.one_one_rat)))
% 19.22/19.43  (assume a8735 (forall ((G tptp.fun_Ex7660298398204468809at_nat)) (= (tptp.groups2880970938130013265at_nat G tptp.bot_bo7653980558646680370d_enat) tptp.one_one_nat)))
% 19.22/19.43  (assume a8736 (forall ((G tptp.fun_Ex3482447378695272101at_int)) (= (tptp.groups2878480467620962989at_int G tptp.bot_bo7653980558646680370d_enat) tptp.one_one_int)))
% 19.22/19.43  (assume a8737 (forall ((G tptp.fun_real_complex)) (= (tptp.groups713298508707869441omplex G tptp.bot_bot_set_real) tptp.one_one_complex)))
% 19.22/19.43  (assume a8738 (forall ((G tptp.fun_real_real)) (= (tptp.groups1681761925125756287l_real G tptp.bot_bot_set_real) tptp.one_one_real)))
% 19.22/19.43  (assume a8739 (forall ((G tptp.fun_real_rat)) (= (tptp.groups4061424788464935467al_rat G tptp.bot_bot_set_real) tptp.one_one_rat)))
% 19.22/19.43  (assume a8740 (forall ((G tptp.fun_real_nat)) (= (tptp.groups4696554848551431203al_nat G tptp.bot_bot_set_real) tptp.one_one_nat)))
% 19.22/19.43  (assume a8741 (forall ((G tptp.fun_real_int)) (= (tptp.groups4694064378042380927al_int G tptp.bot_bot_set_real) tptp.one_one_int)))
% 19.22/19.43  (assume a8742 (forall ((B2 tptp.bool) (A tptp.bool)) (and (=> (tptp.pp B2) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B2)) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B2)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B2)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (= (tptp.vEBT_vebt_maxt (tptp.vEBT_Leaf A B2)) tptp.none_nat)))))))
% 19.22/19.43  (assume a8743 (forall ((A3 tptp.set_nat)) (= (tptp.groups708209901874060359at_nat tptp.aTP_Lamm_dg A3) tptp.one_one_nat)))
% 19.22/19.43  (assume a8744 (forall ((A3 tptp.set_nat)) (= (tptp.groups705719431365010083at_int tptp.aTP_Lamm_dh A3) tptp.one_one_int)))
% 19.22/19.43  (assume a8745 (forall ((A3 tptp.set_int)) (= (tptp.groups1705073143266064639nt_int tptp.aTP_Lamm_di A3) tptp.one_one_int)))
% 19.22/19.43  (assume a8746 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.groups705719431365010083at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat I) J)) (tptp.groups1705073143266064639nt_int tptp.aTP_Lamm_bc (tptp.set_or1266510415728281911st_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int I) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int J))))))
% 19.22/19.43  (assume a8747 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.groups705719431365010083at_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J))) (tptp.groups1705073143266064639nt_int tptp.aTP_Lamm_bc (tptp.set_or1266510415728281911st_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int I) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) J)))))))
% 19.22/19.43  (assume a8748 (forall ((G tptp.fun_Ex3741802288643809319omplex) (A3 tptp.set_Extended_enat)) (=> (not (= (tptp.groups4622424608036095791omplex G A3) tptp.one_one_complex)) (not (forall ((A4 tptp.extended_enat)) (=> (tptp.member_Extended_enat A4 A3) (= (tptp.aa_Ext8748583412541189208omplex G A4) tptp.one_one_complex)))))))
% 19.22/19.43  (assume a8749 (forall ((G tptp.fun_complex_complex) (A3 tptp.set_complex)) (=> (not (= (tptp.groups3708469109370488835omplex G A3) tptp.one_one_complex)) (not (forall ((A4 tptp.complex)) (=> (tptp.member_complex A4 A3) (= (tptp.aa_complex_complex G A4) tptp.one_one_complex)))))))
% 19.22/19.43  (assume a8750 (forall ((G tptp.fun_real_complex) (A3 tptp.set_real)) (=> (not (= (tptp.groups713298508707869441omplex G A3) tptp.one_one_complex)) (not (forall ((A4 tptp.real)) (=> (tptp.member_real A4 A3) (= (tptp.aa_real_complex G A4) tptp.one_one_complex)))))))
% 19.22/19.43  (assume a8751 (forall ((G tptp.fun_nat_complex) (A3 tptp.set_nat)) (=> (not (= (tptp.groups6464643781859351333omplex G A3) tptp.one_one_complex)) (not (forall ((A4 tptp.nat)) (=> (tptp.member_nat A4 A3) (= (tptp.aa_nat_complex G A4) tptp.one_one_complex)))))))
% 19.22/19.43  (assume a8752 (forall ((G tptp.fun_int_complex) (A3 tptp.set_int)) (=> (not (= (tptp.groups7440179247065528705omplex G A3) tptp.one_one_complex)) (not (forall ((A4 tptp.int)) (=> (tptp.member_int A4 A3) (= (tptp.aa_int_complex G A4) tptp.one_one_complex)))))))
% 19.22/19.43  (assume a8753 (forall ((G tptp.fun_Ex1451620480498224165t_real) (A3 tptp.set_Extended_enat)) (=> (not (= (tptp.groups97031904164794029t_real G A3) tptp.one_one_real)) (not (forall ((A4 tptp.extended_enat)) (=> (tptp.member_Extended_enat A4 A3) (= (tptp.aa_Ext2541572767299617110t_real G A4) tptp.one_one_real)))))))
% 19.22/19.43  (assume a8754 (forall ((G tptp.fun_complex_real) (A3 tptp.set_complex)) (=> (not (= (tptp.groups766887009212190081x_real G A3) tptp.one_one_real)) (not (forall ((A4 tptp.complex)) (=> (tptp.member_complex A4 A3) (= (tptp.aa_complex_real G A4) tptp.one_one_real)))))))
% 19.22/19.43  (assume a8755 (forall ((G tptp.fun_real_real) (A3 tptp.set_real)) (=> (not (= (tptp.groups1681761925125756287l_real G A3) tptp.one_one_real)) (not (forall ((A4 tptp.real)) (=> (tptp.member_real A4 A3) (= (tptp.aa_real_real G A4) tptp.one_one_real)))))))
% 19.22/19.43  (assume a8756 (forall ((G tptp.fun_nat_real) (A3 tptp.set_nat)) (=> (not (= (tptp.groups129246275422532515t_real G A3) tptp.one_one_real)) (not (forall ((A4 tptp.nat)) (=> (tptp.member_nat A4 A3) (= (tptp.aa_nat_real G A4) tptp.one_one_real)))))))
% 19.22/19.43  (assume a8757 (forall ((G tptp.fun_int_real) (A3 tptp.set_int)) (=> (not (= (tptp.groups2316167850115554303t_real G A3) tptp.one_one_real)) (not (forall ((A4 tptp.int)) (=> (tptp.member_int A4 A3) (= (tptp.aa_int_real G A4) tptp.one_one_real)))))))
% 19.22/19.43  (assume a8758 (forall ((A3 tptp.set_nat) (G tptp.fun_nat_nat)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (= (tptp.aa_nat_nat G X3) tptp.one_one_nat))) (= (tptp.groups708209901874060359at_nat G A3) tptp.one_one_nat))))
% 19.22/19.43  (assume a8759 (forall ((A3 tptp.set_nat) (G tptp.fun_nat_int)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (= (tptp.aa_nat_int G X3) tptp.one_one_int))) (= (tptp.groups705719431365010083at_int G A3) tptp.one_one_int))))
% 19.22/19.43  (assume a8760 (forall ((A3 tptp.set_int) (G tptp.fun_int_int)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 A3) (= (tptp.aa_int_int G X3) tptp.one_one_int))) (= (tptp.groups1705073143266064639nt_int G A3) tptp.one_one_int))))
% 19.22/19.43  (assume a8761 (forall ((G tptp.fun_nat_nat) (H tptp.fun_nat_nat) (A3 tptp.set_nat)) (= (tptp.groups708209901874060359at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_dj G) H) A3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.groups708209901874060359at_nat G A3)) (tptp.groups708209901874060359at_nat H A3)))))
% 19.22/19.43  (assume a8762 (forall ((G tptp.fun_nat_int) (H tptp.fun_nat_int) (A3 tptp.set_nat)) (= (tptp.groups705719431365010083at_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_dk G) H) A3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups705719431365010083at_int G A3)) (tptp.groups705719431365010083at_int H A3)))))
% 19.22/19.43  (assume a8763 (forall ((G tptp.fun_int_int) (H tptp.fun_int_int) (A3 tptp.set_int)) (= (tptp.groups1705073143266064639nt_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_dl G) H) A3) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.groups1705073143266064639nt_int G A3)) (tptp.groups1705073143266064639nt_int H A3)))))
% 19.22/19.43  (assume a8764 (forall ((F tptp.fun_nat_nat) (A3 tptp.set_nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.groups708209901874060359at_nat F A3)) N) (tptp.groups708209901874060359at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_dm F) N) A3))))
% 19.22/19.43  (assume a8765 (forall ((F tptp.fun_nat_int) (A3 tptp.set_nat) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.groups705719431365010083at_int F A3)) N) (tptp.groups705719431365010083at_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_dn F) N) A3))))
% 19.22/19.43  (assume a8766 (forall ((F tptp.fun_int_int) (A3 tptp.set_int) (N tptp.nat)) (= (tptp.aa_nat_int (tptp.power_power_int (tptp.groups1705073143266064639nt_int F A3)) N) (tptp.groups1705073143266064639nt_int (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_do F) N) A3))))
% 19.22/19.43  (assume a8767 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F X3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.zero_zero_nat) (tptp.groups708209901874060359at_nat F A3))))))
% 19.22/19.43  (assume a8768 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_int)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_nat_int F X3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.groups705719431365010083at_int F A3))))))
% 19.22/19.43  (assume a8769 (forall ((A3 tptp.set_int) (F tptp.fun_int_int)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 A3) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int F X3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.groups1705073143266064639nt_int F A3))))))
% 19.22/19.43  (assume a8770 (forall ((A3 tptp.set_Extended_enat) (F tptp.fun_Ex1451620480498224165t_real) (G tptp.fun_Ex1451620480498224165t_real)) (=> (forall ((I3 tptp.extended_enat)) (=> (tptp.member_Extended_enat I3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_Ext2541572767299617110t_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_Ext2541572767299617110t_real F I3)) (tptp.aa_Ext2541572767299617110t_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups97031904164794029t_real F A3)) (tptp.groups97031904164794029t_real G A3))))))
% 19.22/19.43  (assume a8771 (forall ((A3 tptp.set_complex) (F tptp.fun_complex_real) (G tptp.fun_complex_real)) (=> (forall ((I3 tptp.complex)) (=> (tptp.member_complex I3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F I3)) (tptp.aa_complex_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A3)) (tptp.groups766887009212190081x_real G A3))))))
% 19.22/19.43  (assume a8772 (forall ((A3 tptp.set_real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (forall ((I3 tptp.real)) (=> (tptp.member_real I3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F I3)) (tptp.aa_real_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups1681761925125756287l_real F A3)) (tptp.groups1681761925125756287l_real G A3))))))
% 19.22/19.43  (assume a8773 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((I3 tptp.nat)) (=> (tptp.member_nat I3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I3)) (tptp.aa_nat_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups129246275422532515t_real F A3)) (tptp.groups129246275422532515t_real G A3))))))
% 19.22/19.43  (assume a8774 (forall ((A3 tptp.set_int) (F tptp.fun_int_real) (G tptp.fun_int_real)) (=> (forall ((I3 tptp.int)) (=> (tptp.member_int I3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F I3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F I3)) (tptp.aa_int_real G I3)))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2316167850115554303t_real F A3)) (tptp.groups2316167850115554303t_real G A3))))))
% 19.22/19.43  (assume a8775 (forall ((A3 tptp.set_Extended_enat) (F tptp.fun_Ex4152069839811072081at_rat) (G tptp.fun_Ex4152069839811072081at_rat)) (=> (forall ((I3 tptp.extended_enat)) (=> (tptp.member_Extended_enat I3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_Extended_enat_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_Extended_enat_rat F I3)) (tptp.aa_Extended_enat_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2245840878043517529at_rat F A3)) (tptp.groups2245840878043517529at_rat G A3))))))
% 19.22/19.43  (assume a8776 (forall ((A3 tptp.set_complex) (F tptp.fun_complex_rat) (G tptp.fun_complex_rat)) (=> (forall ((I3 tptp.complex)) (=> (tptp.member_complex I3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F I3)) (tptp.aa_complex_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups225925009352817453ex_rat F A3)) (tptp.groups225925009352817453ex_rat G A3))))))
% 19.22/19.43  (assume a8777 (forall ((A3 tptp.set_real) (F tptp.fun_real_rat) (G tptp.fun_real_rat)) (=> (forall ((I3 tptp.real)) (=> (tptp.member_real I3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F I3)) (tptp.aa_real_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups4061424788464935467al_rat F A3)) (tptp.groups4061424788464935467al_rat G A3))))))
% 19.22/19.43  (assume a8778 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_rat) (G tptp.fun_nat_rat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.member_nat I3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F I3)) (tptp.aa_nat_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups73079841787564623at_rat F A3)) (tptp.groups73079841787564623at_rat G A3))))))
% 19.22/19.43  (assume a8779 (forall ((A3 tptp.set_int) (F tptp.fun_int_rat) (G tptp.fun_int_rat)) (=> (forall ((I3 tptp.int)) (=> (tptp.member_int I3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F I3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F I3)) (tptp.aa_int_rat G I3)))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1072433553688619179nt_rat F A3)) (tptp.groups1072433553688619179nt_rat G A3))))))
% 19.22/19.43  (assume a8780 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_nat)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat F X3))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.groups708209901874060359at_nat F A3))))))
% 19.22/19.43  (assume a8781 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_int)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_nat_int F X3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.groups705719431365010083at_int F A3))))))
% 19.22/19.43  (assume a8782 (forall ((A3 tptp.set_int) (F tptp.fun_int_int)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 A3) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int F X3))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.groups1705073143266064639nt_int F A3))))))
% 19.22/19.43  (assume a8783 (forall ((A3 tptp.set_Extended_enat) (F tptp.fun_Ex1451620480498224165t_real)) (=> (forall ((X3 tptp.extended_enat)) (=> (tptp.member_Extended_enat X3 A3) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_Ext2541572767299617110t_real F X3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups97031904164794029t_real F A3))))))
% 19.22/19.43  (assume a8784 (forall ((A3 tptp.set_complex) (F tptp.fun_complex_real)) (=> (forall ((X3 tptp.complex)) (=> (tptp.member_complex X3 A3) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_complex_real F X3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups766887009212190081x_real F A3))))))
% 19.22/19.43  (assume a8785 (forall ((A3 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 A3) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F X3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups1681761925125756287l_real F A3))))))
% 19.22/19.43  (assume a8786 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_real)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_nat_real F X3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups129246275422532515t_real F A3))))))
% 19.22/19.43  (assume a8787 (forall ((A3 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 A3) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_int_real F X3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.groups2316167850115554303t_real F A3))))))
% 19.22/19.43  (assume a8788 (forall ((A3 tptp.set_Extended_enat) (F tptp.fun_Ex4152069839811072081at_rat)) (=> (forall ((X3 tptp.extended_enat)) (=> (tptp.member_Extended_enat X3 A3) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_Extended_enat_rat F X3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups2245840878043517529at_rat F A3))))))
% 19.22/19.43  (assume a8789 (forall ((A3 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (forall ((X3 tptp.complex)) (=> (tptp.member_complex X3 A3) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_complex_rat F X3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups225925009352817453ex_rat F A3))))))
% 19.22/19.43  (assume a8790 (forall ((A3 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 A3) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_real_rat F X3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups4061424788464935467al_rat F A3))))))
% 19.22/19.43  (assume a8791 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_nat_rat F X3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups73079841787564623at_rat F A3))))))
% 19.22/19.43  (assume a8792 (forall ((A3 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 A3) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_int_rat F X3))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.groups1072433553688619179nt_rat F A3))))))
% 19.22/19.43  (assume a8793 (forall ((A3 tptp.set_Extended_enat) (F tptp.fun_Ex1451620480498224165t_real)) (=> (forall ((X3 tptp.extended_enat)) (=> (tptp.member_Extended_enat X3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_Ext2541572767299617110t_real F X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_Ext2541572767299617110t_real F X3)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups97031904164794029t_real F A3)) tptp.one_one_real)))))
% 19.22/19.43  (assume a8794 (forall ((A3 tptp.set_complex) (F tptp.fun_complex_real)) (=> (forall ((X3 tptp.complex)) (=> (tptp.member_complex X3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real F X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real F X3)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups766887009212190081x_real F A3)) tptp.one_one_real)))))
% 19.22/19.43  (assume a8795 (forall ((A3 tptp.set_real) (F tptp.fun_real_real)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X3)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups1681761925125756287l_real F A3)) tptp.one_one_real)))))
% 19.22/19.43  (assume a8796 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_real)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F X3)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups129246275422532515t_real F A3)) tptp.one_one_real)))))
% 19.22/19.43  (assume a8797 (forall ((A3 tptp.set_int) (F tptp.fun_int_real)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 A3) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_int_real F X3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real F X3)) tptp.one_one_real))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups2316167850115554303t_real F A3)) tptp.one_one_real)))))
% 19.22/19.43  (assume a8798 (forall ((A3 tptp.set_Extended_enat) (F tptp.fun_Ex4152069839811072081at_rat)) (=> (forall ((X3 tptp.extended_enat)) (=> (tptp.member_Extended_enat X3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_Extended_enat_rat F X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_Extended_enat_rat F X3)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups2245840878043517529at_rat F A3)) tptp.one_one_rat)))))
% 19.22/19.43  (assume a8799 (forall ((A3 tptp.set_complex) (F tptp.fun_complex_rat)) (=> (forall ((X3 tptp.complex)) (=> (tptp.member_complex X3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_complex_rat F X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_complex_rat F X3)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups225925009352817453ex_rat F A3)) tptp.one_one_rat)))))
% 19.22/19.43  (assume a8800 (forall ((A3 tptp.set_real) (F tptp.fun_real_rat)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_real_rat F X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_real_rat F X3)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups4061424788464935467al_rat F A3)) tptp.one_one_rat)))))
% 19.22/19.43  (assume a8801 (forall ((A3 tptp.set_nat) (F tptp.fun_nat_rat)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_nat_rat F X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat F X3)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups73079841787564623at_rat F A3)) tptp.one_one_rat)))))
% 19.22/19.43  (assume a8802 (forall ((A3 tptp.set_int) (F tptp.fun_int_rat)) (=> (forall ((X3 tptp.int)) (=> (tptp.member_int X3 A3) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat F X3))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat F X3)) tptp.one_one_rat))))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.groups1072433553688619179nt_rat F A3)) tptp.one_one_rat)))))
% 19.22/19.43  (assume a8803 (forall ((A tptp.bool) (B2 tptp.bool)) (and (=> (tptp.pp A) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B2)) (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A)) (and (=> (tptp.pp B2) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B2)) (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B2)) (= (tptp.vEBT_vebt_mint (tptp.vEBT_Leaf A B2)) tptp.none_nat)))))))
% 19.22/19.43  (assume a8804 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_succ X Xa) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((Uu tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu B4)) (=> (= Xa tptp.zero_zero_nat) (=> (and (=> (tptp.pp B4) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B4)) (= Y tptp.none_nat))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu B4) tptp.zero_zero_nat))))))) (=> (forall ((Uv tptp.bool) (Uw tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uv Uw)) (forall ((N3 tptp.nat)) (=> (= Xa (tptp.aa_nat_nat tptp.suc N3)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uv Uw) (tptp.aa_nat_nat tptp.suc N3))))))))) (=> (forall ((Ux tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux Uy2 Uz)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Ux Uy2 Uz) Xa)))))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vc2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Vc2 Vd2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Vc2 Vd2) Xa)))))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vg2 tptp.list_VEBT_VEBT) (Vh2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2)) (=> (= Y tptp.none_nat) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vg2 Vh2) Xa)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2)) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) (= Y (tptp.some_nat Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (= Y (tptp.if_option_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)) (tptp.if_option_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.fequal_option_nat (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) tptp.none_nat))) (tptp.vEBT_VEBT_less (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_maxt (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_succ (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_option_nat (tptp.fequal_option_nat (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.none_nat) tptp.none_nat (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_add (tptp.aa_opt1882420858203594238on_nat (tptp.aa_opt7711074727033721499on_nat tptp.vEBT_VEBT_mul (tptp.some_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.vEBT_vebt_mint (tptp.nth_VEBT_VEBT TreeList2 (tptp.the_nat (tptp.vEBT_vebt_succ Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))) tptp.none_nat)))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_succ_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) Xa))))))))))))))))
% 19.22/19.43  (assume a8805 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dp X)))))))
% 19.22/19.43  (assume a8806 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (= (tptp.aa_real_real tptp.arctan X) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dq X))))))
% 19.22/19.43  (assume a8807 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 M))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N))) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5026877609467782581ep_nat (tptp.aa_num_num tptp.bit1 N) (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 19.22/19.43  (assume a8808 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.product_Pair_int_int tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N))) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5024387138958732305ep_int (tptp.aa_num_num tptp.bit1 N) (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 19.22/19.43  (assume a8809 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N)) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 M))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_eq_num M) N))) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique4921790084139445826nteger (tptp.aa_num_num tptp.bit1 N) (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 19.22/19.43  (assume a8810 (forall ((M tptp.num)) (= (tptp.unique5052692396658037445od_int M tptp.one) (tptp.product_Pair_int_int (tptp.aa_num_int tptp.numeral_numeral_int M) tptp.zero_zero_int))))
% 19.22/19.43  (assume a8811 (forall ((M tptp.num)) (= (tptp.unique5055182867167087721od_nat M tptp.one) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) tptp.zero_zero_nat))))
% 19.22/19.43  (assume a8812 (forall ((M tptp.num)) (= (tptp.unique3479559517661332726nteger M tptp.one) (tptp.produc1086072967326762835nteger (tptp.numera6620942414471956472nteger M) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.43  (assume a8813 (forall ((F tptp.fun_nat_complex)) (= (tptp.suminf_complex (tptp.aTP_Lamm_dr F)) (tptp.aa_nat_complex F tptp.zero_zero_nat))))
% 19.22/19.43  (assume a8814 (forall ((F tptp.fun_nat_real)) (= (tptp.suminf_real (tptp.aTP_Lamm_ds F)) (tptp.aa_nat_real F tptp.zero_zero_nat))))
% 19.22/19.43  (assume a8815 (forall ((N tptp.num)) (= (tptp.unique5052692396658037445od_int tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.product_Pair_int_int tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 19.22/19.43  (assume a8816 (forall ((N tptp.num)) (= (tptp.unique5055182867167087721od_nat tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)))))
% 19.22/19.43  (assume a8817 (forall ((N tptp.num)) (= (tptp.unique3479559517661332726nteger tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger tptp.one)))))
% 19.22/19.43  (assume a8818 (forall ((N tptp.num)) (= (tptp.unique5052692396658037445od_int tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.product_Pair_int_int tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int tptp.one)))))
% 19.22/19.43  (assume a8819 (forall ((N tptp.num)) (= (tptp.unique5055182867167087721od_nat tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat tptp.one)))))
% 19.22/19.43  (assume a8820 (forall ((N tptp.num)) (= (tptp.unique3479559517661332726nteger tptp.one (tptp.aa_num_num tptp.bit1 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger tptp.one)))))
% 19.22/19.43  (assume a8821 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 M))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N))) (= (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5026877609467782581ep_nat (tptp.aa_num_num tptp.bit1 N) (tptp.unique5055182867167087721od_nat (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 19.22/19.43  (assume a8822 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.product_Pair_int_int tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N))) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique5024387138958732305ep_int (tptp.aa_num_num tptp.bit1 N) (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 19.22/19.43  (assume a8823 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit1 M))))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N))) (= (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.unique4921790084139445826nteger (tptp.aa_num_num tptp.bit1 N) (tptp.unique3479559517661332726nteger (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit1 N)))))))))
% 19.22/19.43  (assume a8824 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int M N) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.43  (assume a8825 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5052692396658037445od_int M N) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))))))
% 19.22/19.43  (assume a8826 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.43  (assume a8827 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger M N) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N)) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N))))))
% 19.22/19.43  (assume a8828 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique5055182867167087721od_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))))
% 19.22/19.43  (assume a8829 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)) (= (tptp.unique5055182867167087721od_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat M)))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N))) (= (tptp.unique5055182867167087721od_nat M N) (tptp.unique5026877609467782581ep_nat N (tptp.unique5055182867167087721od_nat M (tptp.aa_num_num tptp.bit0 N))))))))
% 19.22/19.43  (assume a8830 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)) (= (tptp.unique5052692396658037445od_int M N) (tptp.product_Pair_int_int tptp.zero_zero_int (tptp.aa_num_int tptp.numeral_numeral_int M)))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N))) (= (tptp.unique5052692396658037445od_int M N) (tptp.unique5024387138958732305ep_int N (tptp.unique5052692396658037445od_int M (tptp.aa_num_num tptp.bit0 N))))))))
% 19.22/19.43  (assume a8831 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N)) (= (tptp.unique3479559517661332726nteger M N) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger (tptp.numera6620942414471956472nteger M)))) (=> (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.ord_less_num M) N))) (= (tptp.unique3479559517661332726nteger M N) (tptp.unique4921790084139445826nteger N (tptp.unique3479559517661332726nteger M (tptp.aa_num_num tptp.bit0 N))))))))
% 19.22/19.43  (assume a8832 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.suminf_real tptp.aTP_Lamm_dt)))
% 19.22/19.43  (assume a8833 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) Xa)) (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat))))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw) Xa))))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Uy2 Uz)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Uy2 Uz) Xa))))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2) Xa))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) Xa)) (=> (not (= Xa Mi2)) (=> (not (= Xa Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))))
% 19.22/19.43  (assume a8834 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (= (tptp.pp Y) (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) Xa)))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw) Xa)))))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Uy2 Uz)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) tptp.zero_zero_nat Uy2 Uz) Xa)))))) (=> (forall ((V3 tptp.product_prod_nat_nat) (Vb2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat V3) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Vb2 Vc2) Xa)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2)) (=> (= (tptp.pp Y) (=> (not (= Xa Mi2)) (=> (not (= Xa Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) Xa)))))))))))))))
% 19.22/19.43  (assume a8835 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (= (tptp.pp Y) (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) Xa)))))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw) Xa)))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3)) (=> (= (tptp.pp Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3) Xa)))))))))))))
% 19.22/19.43  (assume a8836 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) Xa)) (not (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat)))))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3) Xa)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 19.22/19.43  (assume a8837 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member X) Xa)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) Xa)) (not (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat)))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_member_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) Xa)) (not (=> (not (= Xa Mi2)) (=> (not (= Xa Ma2)) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2))) (and (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Ma2) Xa))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_vebt_member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))))))
% 19.22/19.43  (assume a8838 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member X) Xa))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) Xa)) (and (=> (= Xa tptp.zero_zero_nat) (tptp.pp A4)) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (tptp.pp B4)) (= Xa tptp.one_one_nat))))))) (=> (forall ((Uu tptp.option4927543243414619207at_nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uu tptp.zero_zero_nat Uv Uw) Xa))))) (not (forall ((Uy2 tptp.option4927543243414619207at_nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V5765760719290551771er_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Uy2 (tptp.aa_nat_nat tptp.suc V3) TreeList2 S3) Xa)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5719532721284313246member (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))
% 19.22/19.43  (assume a8839 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu Uv)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa)))))) (=> (forall ((Ux tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy2)) (=> (not (tptp.pp Y)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy2) Xa)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2)) (=> (= (tptp.pp Y) (or (= Xa Mi2) (= Xa Ma2))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) Xa)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2)) (=> (= (tptp.pp Y) (or (= Xa Mi2) (= Xa Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2) Xa)))))) (not (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2)) (=> (= (tptp.pp Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2) Xa)))))))))))))))
% 19.22/19.43  (assume a8840 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu Uv)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa))))) (=> (forall ((Ux tptp.list_VEBT_VEBT) (Uy2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat tptp.zero_zero_nat Ux Uy2) Xa))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) Xa)) (or (= Xa Mi2) (= Xa Ma2))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2) Xa)) (or (= Xa Mi2) (= Xa Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))) (not (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2) Xa)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))))))))))
% 19.22/19.43  (assume a8841 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.real_V7735802525324610683m_real C)) tptp.one_one_real)) (= (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.power_power_real C)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) C))))))
% 19.22/19.43  (assume a8842 (forall ((C tptp.complex)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)) tptp.one_one_real)) (= (tptp.suminf_complex (tptp.power_power_complex C)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex tptp.one_one_complex) (tptp.aa_complex_complex (tptp.minus_minus_complex tptp.one_one_complex) C))))))
% 19.22/19.43  (assume a8843 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima X) Xa)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va3 tptp.list_VEBT_VEBT) (Vb2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) tptp.zero_zero_nat Va3 Vb2) Xa)) (not (or (= Xa Mi2) (= Xa Ma2)))))) (=> (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vc2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vc2) Xa)) (not (or (= Xa Mi2) (= Xa Ma2) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))))))))) (not (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Vd2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_V4351362008482014158ma_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc V3) TreeList2 Vd2) Xa)) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_membermima (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc V3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2)))))))))))))))
% 19.22/19.43  (assume a8844 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int tptp.one N))))))
% 19.22/19.43  (assume a8845 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int tptp.one N))))))
% 19.22/19.43  (assume a8846 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.unique6319869463603278526ux_int (tptp.unique5052692396658037445od_int N M)))))
% 19.22/19.43  (assume a8847 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.unique6322359934112328802ux_nat (tptp.unique5055182867167087721od_nat N M))))))
% 19.22/19.43  (assume a8848 (forall ((M tptp.num) (N tptp.num)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger M)) (tptp.numera6620942414471956472nteger N))) (tptp.unique5706413561485394159nteger (tptp.unique3479559517661332726nteger N M)))))
% 19.22/19.43  (assume a8849 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int M N))))))
% 19.22/19.43  (assume a8850 (forall ((Q2 tptp.nat) (R2 tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool tptp.unique6322359934112328802ux_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Q2) R2))) (= R2 tptp.zero_zero_nat))))
% 19.22/19.43  (assume a8851 (forall ((Q2 tptp.int) (R2 tptp.int)) (= (tptp.unique6319869463603278526ux_int (tptp.product_Pair_int_int Q2 R2)) (= R2 tptp.zero_zero_int))))
% 19.22/19.43  (assume a8852 (forall ((Q2 tptp.int) (R2 tptp.int)) (= (tptp.adjust_div (tptp.product_Pair_int_int Q2 R2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Q2) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int R2) tptp.zero_zero_int)))))))
% 19.22/19.43  (assume a8853 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.adjust_div (tptp.unique5052692396658037445od_int M N))))))
% 19.22/19.43  (assume a8854 (forall ((B2 tptp.int) (A tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) tptp.zero_zero_int)) (=> (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int A) tptp.one_one_int) B2 (tptp.product_Pair_int_int Q2 R2)) (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2) (tptp.product_Pair_int_int Q2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) R2)) tptp.one_one_int)))))))
% 19.22/19.43  (assume a8855 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.summable_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dq X)))))
% 19.22/19.43  (assume a8856 (forall ((B2 tptp.int) (A tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) B2)) (=> (tptp.eucl_rel_int A B2 (tptp.product_Pair_int_int Q2 R2)) (tptp.eucl_rel_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) B2) (tptp.product_Pair_int_int Q2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) R2))))))))
% 19.22/19.43  (assume a8857 (forall ((N tptp.nat) (Xs tptp.list_num) (Ys2 tptp.list_num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_num Xs)) (tptp.size_size_list_num Ys2)))) (= (tptp.nth_Pr6456567536196504476um_num (tptp.product_num_num Xs Ys2) N) (tptp.product_Pair_num_num (tptp.aa_nat_num (tptp.nth_num Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_num Ys2))) (tptp.aa_nat_num (tptp.nth_num Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_num Ys2))))))))
% 19.22/19.43  (assume a8858 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_s6755466524823107622T_VEBT Ys2)))) (= (tptp.nth_Pr4953567300277697838T_VEBT (tptp.produc4743750530478302277T_VEBT Xs Ys2) N) (tptp.produc537772716801021591T_VEBT (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_s6755466524823107622T_VEBT Ys2))) (tptp.nth_VEBT_VEBT Ys2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_s6755466524823107622T_VEBT Ys2))))))))
% 19.22/19.43  (assume a8859 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_bool Ys2)))) (= (tptp.nth_Pr1289831921885633937T_bool (tptp.produc5466675335756156456T_bool Xs Ys2) N) (tptp.produc3035007008238225530T_bool (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_bool Ys2))) (tptp.aa_nat_bool (tptp.nth_bool Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_bool Ys2))))))))
% 19.22/19.43  (assume a8860 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_nat Ys2)))) (= (tptp.nth_Pr1791586995822124652BT_nat (tptp.produc7295137177222721919BT_nat Xs Ys2) N) (tptp.produc738532404422230701BT_nat (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_nat Ys2))) (tptp.aa_nat_nat (tptp.nth_nat Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_nat Ys2))))))))
% 19.22/19.43  (assume a8861 (forall ((N tptp.nat) (Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_int Ys2)))) (= (tptp.nth_Pr6837108013167703752BT_int (tptp.produc7292646706713671643BT_int Xs Ys2) N) (tptp.produc736041933913180425BT_int (tptp.nth_VEBT_VEBT Xs (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_int Ys2))) (tptp.aa_nat_int (tptp.nth_int Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_int Ys2))))))))
% 19.22/19.43  (assume a8862 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys2 tptp.list_VEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_s6755466524823107622T_VEBT Ys2)))) (= (tptp.nth_Pr3250499561091541003T_VEBT (tptp.produc2282853104913622818T_VEBT Xs Ys2) N) (tptp.produc9074556814250467700T_VEBT (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_s6755466524823107622T_VEBT Ys2))) (tptp.nth_VEBT_VEBT Ys2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_s6755466524823107622T_VEBT Ys2))))))))
% 19.22/19.43  (assume a8863 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys2 tptp.list_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_bool Ys2)))) (= (tptp.nth_Pr2856333732135533678l_bool (tptp.product_bool_bool Xs Ys2) N) (tptp.produc8297744024737662807l_bool (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_bool Ys2))) (tptp.aa_nat_bool (tptp.nth_bool Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_bool Ys2))))))))
% 19.22/19.43  (assume a8864 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys2 tptp.list_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_nat Ys2)))) (= (tptp.nth_Pr2186422209488468047ol_nat (tptp.product_bool_nat Xs Ys2) N) (tptp.produc8874003862241262736ol_nat (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_nat Ys2))) (tptp.aa_nat_nat (tptp.nth_nat Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_nat Ys2))))))))
% 19.22/19.43  (assume a8865 (forall ((N tptp.nat) (Xs tptp.list_bool) (Ys2 tptp.list_int)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_int Ys2)))) (= (tptp.nth_Pr7231943226834047147ol_int (tptp.product_bool_int Xs Ys2) N) (tptp.produc8871513391732212460ol_int (tptp.aa_nat_bool (tptp.nth_bool Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_int Ys2))) (tptp.aa_nat_int (tptp.nth_int Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_int Ys2))))))))
% 19.22/19.43  (assume a8866 (forall ((N tptp.nat) (Xs tptp.list_nat) (Ys2 tptp.list_num)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_nat Xs)) (tptp.size_size_list_num Ys2)))) (= (tptp.nth_Pr8326237132889035090at_num (tptp.product_nat_num Xs Ys2) N) (tptp.product_Pair_nat_num (tptp.aa_nat_nat (tptp.nth_nat Xs) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.size_size_list_num Ys2))) (tptp.aa_nat_num (tptp.nth_num Ys2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.size_size_list_num Ys2))))))))
% 19.22/19.43  (assume a8867 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (= (tptp.summable_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_du F) K)) (tptp.summable_real F))))
% 19.22/19.43  (assume a8868 (forall ((C tptp.real) (F tptp.fun_nat_real)) (= (tptp.summable_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_dv C) F)) (or (= C tptp.zero_zero_real) (tptp.summable_real F)))))
% 19.22/19.43  (assume a8869 (forall ((F tptp.fun_nat_complex) (C tptp.complex)) (= (tptp.summable_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_dw F) C)) (or (= C tptp.zero_zero_complex) (tptp.summable_complex F)))))
% 19.22/19.43  (assume a8870 (forall ((F tptp.fun_nat_real) (C tptp.real)) (= (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_dx F) C)) (or (= C tptp.zero_zero_real) (tptp.summable_real F)))))
% 19.22/19.43  (assume a8871 (forall ((Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_VEBT_VEBT)) (= (tptp.size_s7466405169056248089T_VEBT (tptp.produc4743750530478302277T_VEBT Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_s6755466524823107622T_VEBT Ys2)))))
% 19.22/19.43  (assume a8872 (forall ((Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_bool)) (= (tptp.size_s1343096544515248124T_bool (tptp.produc5466675335756156456T_bool Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_bool Ys2)))))
% 19.22/19.43  (assume a8873 (forall ((Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_nat)) (= (tptp.size_s6152045936467909847BT_nat (tptp.produc7295137177222721919BT_nat Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_nat Ys2)))))
% 19.22/19.43  (assume a8874 (forall ((Xs tptp.list_VEBT_VEBT) (Ys2 tptp.list_int)) (= (tptp.size_s3661962791536183091BT_int (tptp.produc7292646706713671643BT_int Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_s6755466524823107622T_VEBT Xs)) (tptp.size_size_list_int Ys2)))))
% 19.22/19.43  (assume a8875 (forall ((Xs tptp.list_bool) (Ys2 tptp.list_VEBT_VEBT)) (= (tptp.size_s7211631430880329078T_VEBT (tptp.produc2282853104913622818T_VEBT Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_s6755466524823107622T_VEBT Ys2)))))
% 19.22/19.43  (assume a8876 (forall ((Xs tptp.list_bool) (Ys2 tptp.list_bool)) (= (tptp.size_s6988337448923680857l_bool (tptp.product_bool_bool Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_bool Ys2)))))
% 19.22/19.43  (assume a8877 (forall ((Xs tptp.list_bool) (Ys2 tptp.list_nat)) (= (tptp.size_s3243772863075988794ol_nat (tptp.product_bool_nat Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_nat Ys2)))))
% 19.22/19.43  (assume a8878 (forall ((Xs tptp.list_bool) (Ys2 tptp.list_int)) (= (tptp.size_s753689718144262038ol_int (tptp.product_bool_int Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_bool Xs)) (tptp.size_size_list_int Ys2)))))
% 19.22/19.43  (assume a8879 (forall ((Xs tptp.list_nat) (Ys2 tptp.list_VEBT_VEBT)) (= (tptp.size_s4762443039079500285T_VEBT (tptp.produc7156399406898700509T_VEBT Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_nat Xs)) (tptp.size_s6755466524823107622T_VEBT Ys2)))))
% 19.22/19.43  (assume a8880 (forall ((Xs tptp.list_nat) (Ys2 tptp.list_bool)) (= (tptp.size_s783543119881238752t_bool (tptp.product_nat_bool Xs Ys2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.size_size_list_nat Xs)) (tptp.size_size_list_bool Ys2)))))
% 19.22/19.43  (assume a8881 (forall ((C tptp.complex)) (= (tptp.summable_complex (tptp.power_power_complex C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)) tptp.one_one_real)))))
% 19.22/19.43  (assume a8882 (forall ((A tptp.int) (B2 tptp.int) (Q2 tptp.int) (R2 tptp.int) (Q5 tptp.int) (R4 tptp.int)) (=> (tptp.eucl_rel_int A B2 (tptp.product_Pair_int_int Q2 R2)) (=> (tptp.eucl_rel_int A B2 (tptp.product_Pair_int_int Q5 R4)) (= Q2 Q5)))))
% 19.22/19.43  (assume a8883 (forall ((A tptp.int) (B2 tptp.int) (Q2 tptp.int) (R2 tptp.int) (Q5 tptp.int) (R4 tptp.int)) (=> (tptp.eucl_rel_int A B2 (tptp.product_Pair_int_int Q2 R2)) (=> (tptp.eucl_rel_int A B2 (tptp.product_Pair_int_int Q5 R4)) (= R2 R4)))))
% 19.22/19.43  (assume a8884 (forall ((K tptp.int)) (tptp.eucl_rel_int K tptp.zero_zero_int (tptp.product_Pair_int_int tptp.zero_zero_int K))))
% 19.22/19.43  (assume a8885 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (exists ((N7 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real F N3))) (tptp.aa_nat_real G N3)))))) (=> (tptp.summable_real G) (tptp.summable_real (tptp.aTP_Lamm_dy F))))))
% 19.22/19.43  (assume a8886 (forall ((K tptp.int) (L tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (tptp.eucl_rel_int K L (tptp.product_Pair_int_int Q2 R2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) Q2))))
% 19.22/19.43  (assume a8887 (forall ((K tptp.int) (L tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (tptp.eucl_rel_int K L (tptp.product_Pair_int_int Q2 R2)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L) R2))))
% 19.22/19.43  (assume a8888 (forall ((F tptp.fun_nat_real)) (=> (tptp.summable_real (tptp.aTP_Lamm_dy F)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.suminf_real F))) (tptp.suminf_real (tptp.aTP_Lamm_dy F)))))))
% 19.22/19.43  (assume a8889 (forall ((L tptp.int) (K tptp.int) (Q2 tptp.int)) (=> (not (= L tptp.zero_zero_int)) (=> (= K (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q2) L)) (tptp.eucl_rel_int K L (tptp.product_Pair_int_int Q2 tptp.zero_zero_int))))))
% 19.22/19.43  (assume a8890 (forall ((K tptp.int) (L tptp.int)) (tptp.eucl_rel_int K L (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) L)))))
% 19.22/19.43  (assume a8891 (forall ((F tptp.fun_nat_real) (Z tptp.real)) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F I3)) tptp.one_one_real))) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F I3)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Z)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z) tptp.one_one_real)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_dz F) Z))))))))
% 19.22/19.43  (assume a8892 (forall ((A tptp.int) (B2 tptp.int) (Q2 tptp.int) (R2 tptp.int)) (=> (tptp.eucl_rel_int A B2 (tptp.product_Pair_int_int Q2 R2)) (=> (not (= B2 tptp.zero_zero_int)) (tptp.eucl_rel_int (tptp.aa_int_int tptp.uminus_uminus_int A) B2 (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int R2) tptp.zero_zero_int) (tptp.aa_int_int tptp.uminus_uminus_int Q2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int tptp.uminus_uminus_int Q2)) tptp.one_one_int)) (tptp.aa_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int R2) tptp.zero_zero_int) tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int B2) R2))))))))
% 19.22/19.43  (assume a8893 (forall ((K tptp.int) (L tptp.int) (Q2 tptp.int) (R2 tptp.int)) (= (tptp.eucl_rel_int K L (tptp.product_Pair_int_int Q2 R2)) (and (= K (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int L) Q2)) R2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) R2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int R2) L)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) L))) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) R2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int R2) tptp.zero_zero_int)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int))) (= Q2 tptp.zero_zero_int))))))))
% 19.22/19.43  (assume a8894 (forall ((R2 tptp.int) (L tptp.int) (K tptp.int) (Q2 tptp.int)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int R2) (tptp.aa_int_int tptp.sgn_sgn_int L)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int R2)) (tptp.aa_int_int tptp.abs_abs_int L))) (=> (= K (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q2) L)) R2)) (tptp.eucl_rel_int K L (tptp.product_Pair_int_int Q2 R2)))))))
% 19.22/19.43  (assume a8895 (forall ((A1 tptp.int) (A22 tptp.int) (A32 tptp.product_prod_int_int)) (= (tptp.eucl_rel_int A1 A22 A32) (or (exists ((K3 tptp.int)) (and (= A1 K3) (= A22 tptp.zero_zero_int) (= A32 (tptp.product_Pair_int_int tptp.zero_zero_int K3)))) (exists ((L4 tptp.int) (K3 tptp.int) (Q4 tptp.int)) (and (= A1 K3) (= A22 L4) (= A32 (tptp.product_Pair_int_int Q4 tptp.zero_zero_int)) (not (= L4 tptp.zero_zero_int)) (= K3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q4) L4)))) (exists ((R5 tptp.int) (L4 tptp.int) (K3 tptp.int) (Q4 tptp.int)) (and (= A1 K3) (= A22 L4) (= A32 (tptp.product_Pair_int_int Q4 R5)) (= (tptp.aa_int_int tptp.sgn_sgn_int R5) (tptp.aa_int_int tptp.sgn_sgn_int L4)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int R5)) (tptp.aa_int_int tptp.abs_abs_int L4))) (= K3 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q4) L4)) R5))))))))
% 19.22/19.43  (assume a8896 (forall ((A1 tptp.int) (A22 tptp.int) (A32 tptp.product_prod_int_int)) (=> (tptp.eucl_rel_int A1 A22 A32) (=> (=> (= A22 tptp.zero_zero_int) (not (= A32 (tptp.product_Pair_int_int tptp.zero_zero_int A1)))) (=> (forall ((Q3 tptp.int)) (=> (= A32 (tptp.product_Pair_int_int Q3 tptp.zero_zero_int)) (=> (not (= A22 tptp.zero_zero_int)) (not (= A1 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q3) A22)))))) (not (forall ((R3 tptp.int) (Q3 tptp.int)) (=> (= A32 (tptp.product_Pair_int_int Q3 R3)) (=> (= (tptp.aa_int_int tptp.sgn_sgn_int R3) (tptp.aa_int_int tptp.sgn_sgn_int A22)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int tptp.abs_abs_int R3)) (tptp.aa_int_int tptp.abs_abs_int A22))) (not (= A1 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Q3) A22)) R3)))))))))))))
% 19.22/19.43  (assume a8897 (forall ((X tptp.int) (Xa tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Xa) Y) (and (=> (and (tptp.member_int X (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int Xa (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (= Y (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa))))))) (=> (not (and (tptp.member_int X (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int Xa (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= Y (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int Xa) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.43  (assume a8898 (forall ((K tptp.int) (L tptp.int)) (and (=> (and (tptp.member_int K (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int L (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))))) (=> (not (and (tptp.member_int K (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int L (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.43  (assume a8899 (forall ((X tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X) Y) (=> (=> (= X tptp.zero_zero_nat) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (=> (=> (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (not (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)))) (not (forall ((Va tptp.nat)) (=> (= X (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (not (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))))))))
% 19.22/19.43  (assume a8900 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ea X)) (tptp.aa_real_real tptp.sin_real X)))))
% 19.22/19.43  (assume a8901 (forall ((M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int M) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) N))) (= (tptp.set_or1266510415728281911st_int M (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) N)) (tptp.insert_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) N) (tptp.set_or1266510415728281911st_int M N))))))
% 19.22/19.43  (assume a8902 (forall ((J tptp.int) (I tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I)) (= (tptp.set_or1266510415728281911st_int I J) tptp.bot_bot_set_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I))) (= (tptp.set_or1266510415728281911st_int I J) (tptp.insert_int I (tptp.set_or1266510415728281911st_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int) J)))))))
% 19.22/19.43  (assume a8903 (tptp.pp (tptp.aa_real_bool (tptp.sums_real tptp.aTP_Lamm_eb) tptp.one_one_real)))
% 19.22/19.43  (assume a8904 (forall ((G tptp.fun_nat_real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) X)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aTP_Lamm_ec G)) X)))))
% 19.22/19.43  (assume a8905 (forall ((G tptp.fun_nat_real) (X tptp.real) (F tptp.fun_nat_real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real G) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.sums_real F) Y)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ed G) F)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))))
% 19.22/19.43  (assume a8906 (forall ((X tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.sums_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ee X)) (tptp.aa_real_real tptp.cos_real X)))))
% 19.22/19.43  (assume a8907 (forall ((Va2 tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)))) (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))))) (= (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.43  (assume a8908 (forall ((X tptp.int) (Xa tptp.int) (Y tptp.int)) (=> (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Xa) Y) (=> (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel (tptp.product_Pair_int_int X Xa)) (not (=> (and (=> (and (tptp.member_int X (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int Xa (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (= Y (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa))))))) (=> (not (and (tptp.member_int X (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int Xa (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= Y (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) X))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Xa))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int X) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int Xa) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (not (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel (tptp.product_Pair_int_int X Xa)))))))))
% 19.22/19.43  (assume a8909 (forall ((K tptp.int) (L tptp.int)) (=> (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel (tptp.product_Pair_int_int K L)) (and (=> (and (tptp.member_int K (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int L (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int)))) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))))) (=> (not (and (tptp.member_int K (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int L (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.44  (assume a8910 (forall ((X tptp.nat) (Z tptp.nat) (A3 tptp.set_nat) (B3 tptp.set_nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Z)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_max_in_set A3) Z)) (=> (tptp.finite_finite_nat B3) (=> (= A3 B3) (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set A3) X) X_1)))))))))
% 19.22/19.44  (assume a8911 (forall ((T tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) N)) (tptp.finite_finite_nat (tptp.vEBT_VEBT_set_vebt T)))))
% 19.22/19.44  (assume a8912 (forall ((Xs tptp.set_nat) (A tptp.nat)) (=> (not (exists ((X_1 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.vEBT_is_succ_in_set Xs) A) X_1)))) (=> (tptp.finite_finite_nat Xs) (not (exists ((X4 tptp.nat)) (and (tptp.member_nat X4 Xs) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) X4)))))))))
% 19.22/19.44  (assume a8913 (forall ((L tptp.nat) (U tptp.nat)) (tptp.finite_finite_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U))))
% 19.22/19.44  (assume a8914 (forall ((N2 tptp.set_nat)) (= (tptp.finite_finite_nat N2) (exists ((M7 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 N2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) M7))))))))
% 19.22/19.44  (assume a8915 (forall ((N2 tptp.set_nat) (N tptp.nat)) (=> (forall ((X3 tptp.nat)) (=> (tptp.member_nat X3 N2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X3) N)))) (tptp.finite_finite_nat N2))))
% 19.22/19.44  (assume a8916 (forall ((N2 tptp.set_nat)) (= (tptp.finite_finite_nat N2) (exists ((M7 tptp.nat)) (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 N2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) M7))))))))
% 19.22/19.44  (assume a8917 (forall ((P tptp.fun_nat_bool) (I tptp.nat)) (tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ef P) I)))))
% 19.22/19.44  (assume a8918 (forall ((F tptp.fun_nat_nat) (U tptp.nat)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N3) (tptp.aa_nat_nat F N3)))) (tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_eg F) U))))))
% 19.22/19.44  (assume a8919 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)))))
% 19.22/19.44  (assume a8920 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N) (tptp.insert_nat M (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N))))))
% 19.22/19.44  (assume a8921 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N))))))
% 19.22/19.44  (assume a8922 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.insert_nat M (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)))))
% 19.22/19.44  (assume a8923 (forall ((M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ah M))))))
% 19.22/19.44  (assume a8924 (forall ((N2 tptp.set_nat) (N tptp.nat)) (=> (tptp.ord_less_eq_set_nat N2 (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.finite_finite_nat N2))))
% 19.22/19.44  (assume a8925 (forall ((N tptp.nat) (Z tptp.nat)) (=> (not (tptp.member_nat N (tptp.aa_nat_set_nat tptp.nat_set_decode Z))) (= (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) Z)) (tptp.insert_nat N (tptp.aa_nat_set_nat tptp.nat_set_decode Z))))))
% 19.22/19.44  (assume a8926 (forall ((A0 tptp.int) (A1 tptp.int) (P tptp.fun_int_fun_int_bool)) (=> (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel (tptp.product_Pair_int_int A0 A1)) (=> (forall ((K2 tptp.int) (L2 tptp.int)) (=> (tptp.accp_P1096762738010456898nt_int tptp.bit_and_int_rel (tptp.product_Pair_int_int K2 L2)) (=> (=> (not (and (tptp.member_int K2 (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))) (tptp.member_int L2 (tptp.insert_int tptp.zero_zero_int (tptp.insert_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int) tptp.bot_bot_set_int))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L2) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P K2) L2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A0) A1))))))
% 19.22/19.44  (assume a8927 (forall ((K tptp.nat)) (tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eh K)))))
% 19.22/19.44  (assume a8928 (forall ((K tptp.nat)) (tptp.finite_finite_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ei K)))))
% 19.22/19.44  (assume a8929 (forall ((L tptp.int) (U tptp.int)) (tptp.finite_finite_int (tptp.set_or1266510415728281911st_int L U))))
% 19.22/19.44  (assume a8930 (forall ((A tptp.int) (B2 tptp.int)) (tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ej A) B2)))))
% 19.22/19.44  (assume a8931 (forall ((A tptp.int) (B2 tptp.int)) (tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ek A) B2)))))
% 19.22/19.44  (assume a8932 (forall ((A tptp.int) (B2 tptp.int)) (tptp.finite_finite_int (tptp.collect_int (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_el A) B2)))))
% 19.22/19.44  (assume a8933 (forall ((N tptp.nat) (C tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.finite3207457112153483333omplex (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_em N) C))))))
% 19.22/19.44  (assume a8934 (forall ((A3 tptp.set_nat) (N tptp.nat)) (=> (tptp.finite_finite_nat A3) (=> (not (tptp.member_nat N A3)) (= (tptp.aa_set_nat_nat tptp.nat_set_encode (tptp.insert_nat N A3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_set_nat_nat tptp.nat_set_encode A3)))))))
% 19.22/19.44  (assume a8935 (forall ((A0 tptp.int) (A1 tptp.int) (P tptp.fun_int_fun_int_bool)) (=> (tptp.accp_P1096762738010456898nt_int tptp.upto_rel (tptp.product_Pair_int_int A0 A1)) (=> (forall ((I3 tptp.int) (J2 tptp.int)) (=> (tptp.accp_P1096762738010456898nt_int tptp.upto_rel (tptp.product_Pair_int_int I3 J2)) (=> (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I3) J2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I3) tptp.one_one_int)) J2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P I3) J2))))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool P A0) A1))))))
% 19.22/19.44  (assume a8936 (= tptp.nat_set_encode (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a8937 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ei N))))))
% 19.22/19.44  (assume a8938 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_bb) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat tptp.suc N))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a8939 (forall ((A tptp.nat) (D tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_en A) D)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) A)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) D)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a8940 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_bb) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a8941 (forall ((A3 tptp.set_nat)) (=> (tptp.finite_finite_nat A3) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_set_nat_nat tptp.nat_set_encode A3))) (not (tptp.member_nat tptp.zero_zero_nat A3))))))
% 19.22/19.44  (assume a8942 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_eo X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 19.22/19.44  (assume a8943 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) X)) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_eo X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 19.22/19.44  (assume a8944 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) X)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 19.22/19.44  (assume a8945 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) X)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))))))
% 19.22/19.44  (assume a8946 (forall ((K tptp.nat)) (tptp.finite_finite_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K))))
% 19.22/19.44  (assume a8947 (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat tptp.zero_zero_nat) tptp.bot_bot_set_nat))
% 19.22/19.44  (assume a8948 (forall ((N tptp.nat)) (= (tptp.groups6591440286371151544t_real tptp.aTP_Lamm_eq (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N))) tptp.one_one_real)))
% 19.22/19.44  (assume a8949 (forall ((K tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.insert_nat K (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)))))
% 19.22/19.44  (assume a8950 (forall ((N tptp.nat)) (= (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) tptp.bot_bot_set_nat) (= N tptp.zero_zero_nat))))
% 19.22/19.44  (assume a8951 (forall ((K tptp.num)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.insert_nat (tptp.aa_num_nat tptp.pred_numeral K) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.44  (assume a8952 (forall ((N tptp.nat) (C tptp.complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) N)) (= (tptp.groups7754918857620584856omplex tptp.aTP_Lamm_ay (tptp.collect_complex (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_em N) C))) tptp.zero_zero_complex))))
% 19.22/19.44  (assume a8953 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.one_one_nat) N)) (= (tptp.groups7754918857620584856omplex tptp.aTP_Lamm_ay (tptp.collect_complex (tptp.aTP_Lamm_er N))) tptp.zero_zero_complex))))
% 19.22/19.44  (assume a8954 (forall ((H tptp.real) (F tptp.fun_real_real) (J tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (exists ((B7 tptp.real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_es H) J) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B7) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N)))))))))
% 19.22/19.44  (assume a8955 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real) (N tptp.nat)) (= (tptp.groups6591440286371151544t_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_et F) G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_eu F) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_ev G) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.22/19.44  (assume a8956 (forall ((X tptp.real) (N tptp.nat)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.exp_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ew X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))
% 19.22/19.44  (assume a8957 (forall ((X tptp.real) (N tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real tptp.sin_real X)) (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real X)) N))))))
% 19.22/19.44  (assume a8958 (forall ((M tptp.int) (N tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int M) N)) (= (tptp.groups4538972089207619220nt_int tptp.aTP_Lamm_bc (tptp.set_or1266510415728281911st_int M N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int N) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int N) tptp.one_one_int))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int M) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int M) tptp.one_one_int)))) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a8959 (forall ((F tptp.fun_nat_real) (K tptp.nat)) (=> (tptp.summable_real F) (=> (forall ((D2 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) D2)))) (tptp.aa_nat_real F (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))) D2)) tptp.one_one_nat))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.groups6591440286371151544t_real F (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K))) (tptp.suminf_real F)))))))
% 19.22/19.44  (assume a8960 (forall ((X tptp.real) (N tptp.nat)) (=> (not (= X tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real T2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.exp_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ew X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.exp_real T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 19.22/19.44  (assume a8961 (forall ((X tptp.real) (N tptp.nat)) (exists ((T2 tptp.real)) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))))
% 19.22/19.44  (assume a8962 (forall ((X tptp.real) (N tptp.nat)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.sin_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))
% 19.22/19.44  (assume a8963 (forall ((X tptp.real) (N tptp.nat)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real tptp.cos_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_eo X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real T2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) tptp.pi)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))
% 19.22/19.44  (assume a8964 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.bij_betw_nat_complex (tptp.aTP_Lamm_ex N) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) (tptp.collect_complex (tptp.aTP_Lamm_er N))))))
% 19.22/19.44  (assume a8965 (forall ((K tptp.nat)) (tptp.finite_finite_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K))))
% 19.22/19.44  (assume a8966 (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat tptp.zero_zero_nat) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))
% 19.22/19.44  (assume a8967 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))))
% 19.22/19.44  (assume a8968 (forall ((K tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K))))
% 19.22/19.44  (assume a8969 (forall ((K tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc K) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K)))))
% 19.22/19.44  (assume a8970 (forall ((K tptp.num)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.insert_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.44  (assume a8971 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ey M)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc M)))))
% 19.22/19.44  (assume a8972 (forall ((R2 tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ez R2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat R2) N))) N))))
% 19.22/19.44  (assume a8973 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_fa N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) tptp.one_one_nat)) M))))
% 19.22/19.44  (assume a8974 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_fa N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) M)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) tptp.one_one_nat)))))
% 19.22/19.44  (assume a8975 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))
% 19.22/19.44  (assume a8976 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_fb M) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat tptp.suc N)) M)))))
% 19.22/19.44  (assume a8977 (forall ((M tptp.nat) (N tptp.nat) (R2 tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_fc M) N) R2)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat R2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) R2))))
% 19.22/19.44  (assume a8978 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.binomial N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))
% 19.22/19.44  (assume a8979 (forall ((A tptp.nat) (B2 tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat A) B2)) N) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_fd A) B2) N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)))))
% 19.22/19.44  (assume a8980 (forall ((M tptp.nat) (A tptp.fun_nat_nat) (N tptp.nat) (B2 tptp.fun_nat_nat) (X tptp.nat)) (=> (forall ((I3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) I3)) (= (tptp.aa_nat_nat A I3) tptp.zero_zero_nat))) (=> (forall ((J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) J2)) (= (tptp.aa_nat_nat B2 J2) tptp.zero_zero_nat))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_fe A) X)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_fe B2) X)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_fg A) B2) X)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N))))))))
% 19.22/19.44  (assume a8981 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_fh N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) N))))
% 19.22/19.44  (assume a8982 (forall ((M tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)) tptp.one_one_nat))) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M)))))
% 19.22/19.44  (assume a8983 (forall ((N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_fi N)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 19.22/19.44  (assume a8984 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat N) N)))
% 19.22/19.44  (assume a8985 (forall ((A tptp.real) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V1485227260804924795R_real A) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) X))))
% 19.22/19.44  (assume a8986 (forall ((R2 tptp.real) (A tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R2) (tptp.aa_real_complex (tptp.complex2 A) B2)) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) B2)))))
% 19.22/19.44  (assume a8987 (forall ((C tptp.complex) (N tptp.nat)) (=> (not (= C tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.bij_be1856998921033663316omplex (tptp.times_times_complex (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex C)))) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.arg C)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))) (tptp.collect_complex (tptp.aTP_Lamm_er N)) (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_fj C) N)))))))
% 19.22/19.44  (assume a8988 (forall ((S2 tptp.set_int)) (= (not (tptp.finite_finite_int S2)) (forall ((M7 tptp.int)) (exists ((N5 tptp.int)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int M7) (tptp.aa_int_int tptp.abs_abs_int N5))) (tptp.member_int N5 S2)))))))
% 19.22/19.44  (assume a8989 (forall ((Z tptp.complex)) (and (=> (= Z tptp.zero_zero_complex) (= (tptp.aa_complex_real tptp.arg Z) tptp.zero_zero_real)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_complex_real tptp.arg Z) (tptp.fChoice_real (tptp.aTP_Lamm_fk Z)))))))
% 19.22/19.44  (assume a8990 (forall ((N tptp.nat)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) tptp.zero_zero_real) tptp.zero_zero_real)))
% 19.22/19.44  (assume a8991 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) X) X)))
% 19.22/19.44  (assume a8992 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)) (= X Y)))))
% 19.22/19.44  (assume a8993 (forall ((X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root tptp.zero_zero_nat) X) tptp.zero_zero_real)))
% 19.22/19.44  (assume a8994 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) tptp.zero_zero_real) (= X tptp.zero_zero_real)))))
% 19.22/19.44  (assume a8995 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y))))))
% 19.22/19.44  (assume a8996 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y))))))
% 19.22/19.44  (assume a8997 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) tptp.one_one_real) tptp.one_one_real))))
% 19.22/19.44  (assume a8998 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) tptp.one_one_real) (= X tptp.one_one_real)))))
% 19.22/19.44  (assume a8999 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y))))))
% 19.22/19.44  (assume a9000 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real))))))
% 19.22/19.44  (assume a9001 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real))))))
% 19.22/19.44  (assume a9002 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y))))))
% 19.22/19.44  (assume a9003 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) Y))))))
% 19.22/19.44  (assume a9004 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real))))))
% 19.22/19.44  (assume a9005 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) Y))))))
% 19.22/19.44  (assume a9006 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real))))))
% 19.22/19.44  (assume a9007 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) N) X)))))
% 19.22/19.44  (assume a9008 (forall ((N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.uminus_uminus_real X)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))
% 19.22/19.44  (assume a9009 (forall ((N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real X)) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))
% 19.22/19.44  (assume a9010 (forall ((M tptp.nat) (N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root M) X)))))
% 19.22/19.44  (assume a9011 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))
% 19.22/19.44  (assume a9012 (forall ((M tptp.nat) (N tptp.nat) (X tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) X) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root M) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))
% 19.22/19.44  (assume a9013 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))
% 19.22/19.44  (assume a9014 (forall ((X tptp.real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))
% 19.22/19.44  (assume a9015 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))))
% 19.22/19.44  (assume a9016 (forall ((N tptp.nat) (X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) Y)))))))
% 19.22/19.44  (assume a9017 (forall ((N tptp.nat) (X tptp.real) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) K)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) K)))))
% 19.22/19.44  (assume a9018 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.abs_abs_real X)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))
% 19.22/19.44  (assume a9019 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real tptp.sgn_sgn_real X)))))
% 19.22/19.44  (assume a9020 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))))
% 19.22/19.44  (assume a9021 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))))
% 19.22/19.44  (assume a9022 (= tptp.sqrt (tptp.aa_nat_fun_real_real tptp.root (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))
% 19.22/19.44  (assume a9023 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N))) (tptp.aa_real_real tptp.abs_abs_real Y)))))
% 19.22/19.44  (assume a9024 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)))))))
% 19.22/19.44  (assume a9025 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)))))))))
% 19.22/19.44  (assume a9026 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))))))))
% 19.22/19.44  (assume a9027 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) N) X)))))
% 19.22/19.44  (assume a9028 (forall ((N tptp.nat) (Y tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y)) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N) X) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) Y))))))
% 19.22/19.44  (assume a9029 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) X)))))
% 19.22/19.44  (assume a9030 (forall ((N tptp.nat) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) N) X))))
% 19.22/19.44  (assume a9031 (forall ((N tptp.nat) (Y tptp.real) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Y) N) X) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) Y)))))
% 19.22/19.44  (assume a9032 (forall ((N tptp.nat) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)) X))))
% 19.22/19.44  (assume a9033 (forall ((N tptp.nat) (N2 tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) N2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N2) X)))))))))
% 19.22/19.44  (assume a9034 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))) N)) X))))
% 19.22/19.44  (assume a9035 (forall ((N tptp.nat) (Y tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Y)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y)) N))) Y))))
% 19.22/19.44  (assume a9036 (forall ((N tptp.nat) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (= (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) B2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real B2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 19.22/19.44  (assume a9037 (forall ((N tptp.nat) (A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) A)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) A)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))))
% 19.22/19.44  (assume a9038 (forall ((N tptp.nat) (B2 tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) B2)) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) X)))))))
% 19.22/19.44  (assume a9039 (forall ((P tptp.fun_real_bool) (N tptp.nat) (X tptp.real)) (= (tptp.pp (tptp.aa_real_bool P (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X))) (and (=> (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_real_bool P tptp.zero_zero_real))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (forall ((Y5 tptp.real)) (=> (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Y5)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Y5)) N)) X) (tptp.pp (tptp.aa_real_bool P Y5)))))))))
% 19.22/19.44  (assume a9040 (forall ((S2 tptp.set_nat)) (= (not (tptp.finite_finite_nat S2)) (forall ((M7 tptp.nat)) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M7) N5)) (tptp.member_nat N5 S2)))))))
% 19.22/19.44  (assume a9041 (forall ((K tptp.nat) (S2 tptp.set_nat)) (=> (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K) M4)) (exists ((N6 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N6)) (tptp.member_nat N6 S2))))) (not (tptp.finite_finite_nat S2)))))
% 19.22/19.44  (assume a9042 (forall ((S2 tptp.set_nat)) (= (not (tptp.finite_finite_nat S2)) (forall ((M7 tptp.nat)) (exists ((N5 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M7) N5)) (tptp.member_nat N5 S2)))))))
% 19.22/19.44  (assume a9043 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))))))))
% 19.22/19.44  (assume a9044 (forall ((M tptp.num)) (= (tptp.unique5052692396658037445od_int (tptp.aa_num_num tptp.bitM M) (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int) tptp.one_one_int))))
% 19.22/19.44  (assume a9045 (forall ((Mi tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (X tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (not (= X Ma)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Mi) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)))))))))
% 19.22/19.44  (assume a9046 (forall ((X tptp.nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Mi tptp.nat) (Ma tptp.nat) (Summary tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Mi) X)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Deg)) (=> (not (= X Ma)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) Deg TreeList Summary) X) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat X) Ma))) Deg (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)))))))))
% 19.22/19.44  (assume a9047 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M) N)))))
% 19.22/19.44  (assume a9048 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) tptp.zero_zero_nat) N)))
% 19.22/19.44  (assume a9049 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) N) N)))
% 19.22/19.44  (assume a9050 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) tptp.zero_zero_nat) A)))
% 19.22/19.44  (assume a9051 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= tptp.zero_zero_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B2)) (and (= A tptp.zero_zero_nat) (= B2 tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a9052 (forall ((A tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat tptp.zero_zero_nat) A) A)))
% 19.22/19.44  (assume a9053 (forall ((A tptp.nat) (B2 tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat A) B2) tptp.zero_zero_nat) (and (= A tptp.zero_zero_nat) (= B2 tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a9054 (forall ((K tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_num_nat tptp.pred_numeral K)) N)))))
% 19.22/19.44  (assume a9055 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.44  (assume a9056 (forall ((K tptp.num)) (= (tptp.aa_num_nat tptp.pred_numeral (tptp.aa_num_num tptp.bit0 K)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bitM K)))))
% 19.22/19.44  (assume a9057 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) Q2)))))
% 19.22/19.44  (assume a9058 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M) N)) Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) Q2)))))
% 19.22/19.44  (assume a9059 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) Q2)))))
% 19.22/19.44  (assume a9060 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M) N)) Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2)))))
% 19.22/19.44  (assume a9061 (= (tptp.aa_num_num tptp.bitM tptp.one) tptp.one))
% 19.22/19.44  (assume a9062 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat N) M))))
% 19.22/19.44  (assume a9063 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bitM N)))))
% 19.22/19.44  (assume a9064 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 N)))))
% 19.22/19.44  (assume a9065 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.inc (tptp.aa_num_num tptp.bitM N)) (tptp.aa_num_num tptp.bit0 N))))
% 19.22/19.44  (assume a9066 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.bitM (tptp.aa_num_num tptp.inc N)) (tptp.aa_num_num tptp.bit1 N))))
% 19.22/19.44  (assume a9067 (forall ((N tptp.num)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bitM N))))))
% 19.22/19.44  (assume a9068 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num tptp.one) (tptp.aa_num_num tptp.bitM N)) (tptp.aa_num_num tptp.bit0 N))))
% 19.22/19.44  (assume a9069 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.bitM N)) tptp.one) (tptp.aa_num_num tptp.bit0 N))))
% 19.22/19.44  (assume a9070 (forall ((Mi tptp.nat) (Ma tptp.nat) (Va2 tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (X tptp.nat)) (= (tptp.vEBT_vebt_insert (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList Summary) X) (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.fdisj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Mi)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Ma)))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) X) Mi)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) Ma))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) (tptp.list_u1324408373059187874T_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Mi)) Mi) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi) Ma)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va2)) TreeList Summary)))))
% 19.22/19.44  (assume a9071 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X Xa) Y) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (not (and (=> (= Xa tptp.zero_zero_nat) (= Y (tptp.vEBT_Leaf tptp.fTrue B4))) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (= Y (tptp.vEBT_Leaf A4 tptp.fTrue))) (=> (not (= Xa tptp.one_one_nat)) (= Y (tptp.vEBT_Leaf A4 B4))))))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S3)) (not (= Y (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S3))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3)) (not (= Y (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3))))) (=> (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V3)) TreeList2 Summary2)) (not (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa) Xa)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V3)) TreeList2 Summary2))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2)) (not (= Y (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.fdisj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa) Mi2)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa) Ma2)))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Xa) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.list_u1324408373059187874T_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary2)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2))))))))))))))
% 19.22/19.44  (assume a9072 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_insert X Xa) Y) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (and (=> (= Xa tptp.zero_zero_nat) (= Y (tptp.vEBT_Leaf tptp.fTrue B4))) (=> (not (= Xa tptp.zero_zero_nat)) (and (=> (= Xa tptp.one_one_nat) (= Y (tptp.vEBT_Leaf A4 tptp.fTrue))) (=> (not (= Xa tptp.one_one_nat)) (= Y (tptp.vEBT_Leaf A4 B4)))))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf A4 B4) Xa)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S3)) (=> (= Y (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 tptp.zero_zero_nat Ts2 S3) Xa)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Ts2 tptp.list_VEBT_VEBT) (S3 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3)) (=> (= Y (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Info2 (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat) Ts2 S3) Xa)))))) (=> (forall ((V3 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V3)) TreeList2 Summary2)) (=> (= Y (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa) Xa)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V3)) TreeList2 Summary2)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc V3)) TreeList2 Summary2) Xa)))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Va tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2)) (=> (= Y (tptp.if_VEBT_VEBT (tptp.aa_bool_bool (tptp.fconj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.size_s6755466524823107622T_VEBT TreeList2))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_bool_bool (tptp.fdisj (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa) Mi2)) (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Xa) Ma2)))) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Xa) Mi2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) Ma2))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.list_u1324408373059187874T_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_insert (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_low (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.if_VEBT_VEBT (tptp.aa_VEBT_VEBT_bool tptp.vEBT_VEBT_minNull (tptp.nth_VEBT_VEBT TreeList2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.vEBT_vebt_insert Summary2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Xa) Mi2)) Mi2) Xa)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) Summary2)) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_vebt_insert_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) TreeList2 Summary2) Xa)))))))))))))))
% 19.22/19.44  (assume a9073 (forall ((X tptp.nat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_vebt_buildup X) Y) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) X)) (=> (=> (= X tptp.zero_zero_nat) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) tptp.zero_zero_nat))))) (=> (=> (= X (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (=> (= Y (tptp.vEBT_Leaf tptp.fFalse tptp.fFalse)) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))) (not (forall ((Va tptp.nat)) (=> (= X (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))))) (= Y (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)) (tptp.replicate_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.vEBT_vebt_buildup (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.vEBT_v4011308405150292612up_rel) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat tptp.suc Va)))))))))))))))
% 19.22/19.44  (assume a9074 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat Q2) tptp.zero_z5237406670263579293d_enat) Q2)))
% 19.22/19.44  (assume a9075 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.zero_z5237406670263579293d_enat) Q2) Q2)))
% 19.22/19.44  (assume a9076 (forall ((L tptp.num) (Qr tptp.product_prod_nat_nat)) (= (tptp.unique5026877609467782581ep_nat L Qr) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat (tptp.aTP_Lamm_fl L)) Qr))))
% 19.22/19.44  (assume a9077 (forall ((L tptp.num) (Qr tptp.product_prod_int_int)) (= (tptp.unique5024387138958732305ep_int L Qr) (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_fm L) Qr))))
% 19.22/19.44  (assume a9078 (forall ((N tptp.nat) (M tptp.nat)) (and (=> (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N))) (= (tptp.divmod_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.zero_zero_nat) M))) (=> (not (or (= N tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))) (= (tptp.divmod_nat M N) (tptp.aa_Pro262675715343573244at_nat (tptp.produc2626176000494625587at_nat tptp.aTP_Lamm_fn) (tptp.divmod_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) N)))))))
% 19.22/19.44  (assume a9079 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arctan Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fo Y)))))
% 19.22/19.44  (assume a9080 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.zero_zero_real)) (= (tptp.aa_real_real tptp.ln_ln_real X) (tptp.the_real tptp.aTP_Lamm_fp)))))
% 19.22/19.44  (assume a9081 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arccos Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fq Y)))))
% 19.22/19.44  (assume a9082 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.divmod_nat M N) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N)))))
% 19.22/19.44  (assume a9083 (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.the_real tptp.aTP_Lamm_fr)))
% 19.22/19.44  (assume a9084 (= tptp.pi (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.the_real tptp.aTP_Lamm_fr))))
% 19.22/19.44  (assume a9085 (forall ((Y tptp.real)) (= (tptp.aa_real_real tptp.arcsin Y) (tptp.the_real (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fs Y)))))
% 19.22/19.44  (assume a9086 (forall ((K tptp.int) (L tptp.int)) (and (=> (or (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))) (=> (not (or (= K (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (= L (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)))) (and (=> (= K tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) L)) (=> (not (= K tptp.zero_zero_int)) (and (=> (= L tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) K)) (=> (not (= L tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.ord_max_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))))
% 19.22/19.44  (assume a9087 (forall ((Bs tptp.list_bool)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.groups4048646594741130792ol_int tptp.zero_n2684676970156552555ol_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)) Bs)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.size_size_list_bool Bs))))))
% 19.22/19.44  (assume a9088 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L))) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L))))))
% 19.22/19.44  (assume a9089 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L)) tptp.zero_zero_int)) (or (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int L) tptp.zero_zero_int))))))
% 19.22/19.44  (assume a9090 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))))))
% 19.22/19.44  (assume a9091 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N))))))
% 19.22/19.44  (assume a9092 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int))))))
% 19.22/19.44  (assume a9093 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.one_one_int))))))
% 19.22/19.44  (assume a9094 (forall ((K tptp.int) (L tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L)) N)) (or (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int K) N)) (tptp.pp (tptp.aa_nat_bool (tptp.bit_se1146084159140164899it_int L) N))))))
% 19.22/19.44  (assume a9095 (forall ((X tptp.int) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Y)))))))
% 19.22/19.44  (assume a9096 (forall ((L tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int K) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L))))))
% 19.22/19.44  (assume a9097 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int X) Y)) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) Y))))
% 19.22/19.44  (assume a9098 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int L))))))
% 19.22/19.44  (assume a9099 (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int)))
% 19.22/19.44  (assume a9100 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) L) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int K) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int L))) (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int K)) L)))))
% 19.22/19.44  (assume a9101 (forall ((N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit N K) L) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int N) K)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) L)))))
% 19.22/19.44  (assume a9102 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int tptp.bit_se7879613467334960850it_int N) K) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) tptp.one_one_int)))))
% 19.22/19.44  (assume a9103 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int))))
% 19.22/19.44  (assume a9104 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.44  (assume a9105 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.44  (assume a9106 (forall ((M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.one_one_int)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int tptp.zero_zero_int))))
% 19.22/19.44  (assume a9107 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.44  (assume a9108 (forall ((X tptp.int) (N tptp.nat) (Y tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) X)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Y) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int X) Y)) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))))
% 19.22/19.44  (assume a9109 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 19.22/19.44  (assume a9110 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 19.22/19.44  (assume a9111 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 M))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))))))))
% 19.22/19.44  (assume a9112 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int K) L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool (tptp.fdisj (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) K))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) L))))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int L) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9113 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bitM N)))))))
% 19.22/19.44  (assume a9114 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bitM N)))))))
% 19.22/19.44  (assume a9115 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 19.22/19.44  (assume a9116 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 19.22/19.44  (assume a9117 (forall ((Y tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 Y))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 Y)))))
% 19.22/19.44  (assume a9118 (forall ((X tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 X))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 X)))))
% 19.22/19.44  (assume a9119 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bit0 N)))))))
% 19.22/19.44  (assume a9120 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bit0 N)))))))
% 19.22/19.44  (assume a9121 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bitM N)))))))
% 19.22/19.44  (assume a9122 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg M) (tptp.aa_num_num tptp.bitM N)))))))
% 19.22/19.44  (assume a9123 (= (tptp.aa_num_num (tptp.bit_or_not_num_neg tptp.one) tptp.one) tptp.one))
% 19.22/19.44  (assume a9124 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se7882103937844011126it_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se547839408752420682it_nat M) tptp.one_one_nat)))))
% 19.22/19.44  (assume a9125 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) tptp.one) (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.44  (assume a9126 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.bit_or_not_num_neg N) M)))))
% 19.22/19.44  (assume a9127 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 M))))
% 19.22/19.44  (assume a9128 (forall ((N tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) tptp.one) tptp.one)))
% 19.22/19.44  (assume a9129 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N) M)))))
% 19.22/19.44  (assume a9130 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N) M)))))
% 19.22/19.44  (assume a9131 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.44  (assume a9132 (forall ((M tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg tptp.one) (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 M))))
% 19.22/19.44  (assume a9133 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_num_num (tptp.bit_or_not_num_neg (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N) M)))))
% 19.22/19.44  (assume a9134 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.num)) (=> (= (tptp.aa_num_num (tptp.bit_or_not_num_neg X) Xa) Y) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (not (= Y tptp.one)))) (=> (=> (= X tptp.one) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 M4)) (not (= Y (tptp.aa_num_num tptp.bit1 M4)))))) (=> (=> (= X tptp.one) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 M4)) (not (= Y (tptp.aa_num_num tptp.bit1 M4)))))) (=> (=> (exists ((N3 tptp.num)) (= X (tptp.aa_num_num tptp.bit0 N3))) (=> (= Xa tptp.one) (not (= Y (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 M4)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4)))))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 M4)) (not (= Y (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4)))))))) (=> (=> (exists ((N3 tptp.num)) (= X (tptp.aa_num_num tptp.bit1 N3))) (=> (= Xa tptp.one) (not (= Y tptp.one)))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 M4)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4)))))))) (not (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 M4)) (not (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4))))))))))))))))))))
% 19.22/19.44  (assume a9135 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg M) N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))))
% 19.22/19.44  (assume a9136 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg N) M))))))
% 19.22/19.44  (assume a9137 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se1409905431419307370or_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num (tptp.bit_or_not_num_neg M) N))))))
% 19.22/19.44  (assume a9138 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.44  (assume a9139 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))))
% 19.22/19.44  (assume a9140 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.zero_n2687167440665602831ol_nat (tptp.aa_bool_bool (tptp.fdisj (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) M))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9141 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N) N)) (=> (not (= M tptp.zero_zero_nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N) M)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se1412395901928357646or_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 19.22/19.44  (assume a9142 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_bb) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) tptp.one_one_nat)))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a9143 (forall ((K tptp.nat)) (= (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) K)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)) tptp.one_one_nat))))
% 19.22/19.44  (assume a9144 (forall ((L tptp.nat) (U tptp.nat)) (tptp.finite_finite_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat L) U))))
% 19.22/19.44  (assume a9145 (forall ((M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_nat_nat tptp.suc M)) (tptp.insert_nat M tptp.bot_bot_set_nat))))
% 19.22/19.44  (assume a9146 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M7) N)) (tptp.pp (tptp.aa_nat_bool P M7)))) (forall ((X2 tptp.nat)) (=> (tptp.member_nat X2 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool P X2)))))))
% 19.22/19.44  (assume a9147 (forall ((N tptp.nat) (P tptp.fun_nat_bool)) (= (exists ((M7 tptp.nat)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M7) N)) (tptp.pp (tptp.aa_nat_bool P M7)))) (exists ((X2 tptp.nat)) (and (tptp.member_nat X2 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool P X2)))))))
% 19.22/19.44  (assume a9148 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat L) (tptp.aa_nat_nat tptp.suc U)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U))))
% 19.22/19.44  (assume a9149 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))))
% 19.22/19.44  (assume a9150 (forall ((M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) tptp.zero_zero_nat) tptp.bot_bot_set_nat)))
% 19.22/19.44  (assume a9151 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))
% 19.22/19.44  (assume a9152 (forall ((N2 tptp.set_nat) (N tptp.nat)) (=> (tptp.ord_less_eq_set_nat N2 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)) (tptp.finite_finite_nat N2))))
% 19.22/19.44  (assume a9153 (forall ((M tptp.nat) (N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat N (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_nat_nat tptp.suc N)) tptp.bot_bot_set_nat)))))
% 19.22/19.44  (assume a9154 (forall ((N tptp.nat)) (= (tptp.groups708209901874060359at_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 19.22/19.44  (assume a9155 (forall ((N tptp.nat)) (= (tptp.groups708209901874060359at_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N)) (tptp.aa_nat_nat tptp.semiri1408675320244567234ct_nat N))))
% 19.22/19.44  (assume a9156 (forall ((M tptp.nat) (K tptp.num)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_num_nat tptp.pred_numeral K))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.insert_nat (tptp.aa_num_nat tptp.pred_numeral K) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_num_nat tptp.pred_numeral K))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) (tptp.aa_num_nat tptp.pred_numeral K)))) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) tptp.bot_bot_set_nat)))))
% 19.22/19.44  (assume a9157 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N) (tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))
% 19.22/19.44  (assume a9158 (forall ((N tptp.nat) (A tptp.fun_nat_nat) (B2 tptp.fun_nat_nat)) (=> (forall ((I3 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat A I3)) (tptp.aa_nat_nat A J2)))))) (=> (forall ((I3 tptp.nat) (J2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I3) J2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat J2) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat B2 J2)) (tptp.aa_nat_nat B2 I3)))))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_dj A) B2)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat A) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat B2) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))))))
% 19.22/19.44  (assume a9159 (forall ((L tptp.int) (U tptp.int)) (tptp.finite_finite_int (tptp.set_or4662586982721622107an_int L U))))
% 19.22/19.44  (assume a9160 (forall ((U tptp.int)) (tptp.finite_finite_int (tptp.set_or4662586982721622107an_int tptp.zero_zero_int U))))
% 19.22/19.44  (assume a9161 (forall ((L tptp.int) (U tptp.int)) (= (tptp.set_or4662586982721622107an_int L (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int U) tptp.one_one_int)) (tptp.set_or1266510415728281911st_int L U))))
% 19.22/19.44  (assume a9162 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)))))
% 19.22/19.44  (assume a9163 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)))))
% 19.22/19.44  (assume a9164 (forall ((T tptp.vEBT_VEBT) (D tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid T) D)) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt T) D)))))
% 19.22/19.44  (assume a9165 (forall ((Uu2 tptp.bool) (Uv2 tptp.bool) (D tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid (tptp.vEBT_Leaf Uu2 Uv2)) D)) (= D tptp.one_one_nat))))
% 19.22/19.44  (assume a9166 (forall ((L tptp.num) (Qr tptp.produc8923325533196201883nteger)) (= (tptp.unique4921790084139445826nteger L Qr) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_ft L) Qr))))
% 19.22/19.44  (assume a9167 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a9168 (forall ((V tptp.num)) (= (tptp.aa_complex_real tptp.re (tptp.numera6690914467698888265omplex V)) (tptp.aa_num_real tptp.numeral_numeral_real V))))
% 19.22/19.44  (assume a9169 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 19.22/19.44  (assume a9170 (forall ((Z tptp.complex) (R2 tptp.real)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) R2))))
% 19.22/19.44  (assume a9171 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.sgn_sgn_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)))))
% 19.22/19.44  (assume a9172 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.44  (assume a9173 (forall ((K tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger K tptp.zero_z3403309356797280102nteger) K)))
% 19.22/19.44  (assume a9174 (forall ((L tptp.code_integer)) (= (tptp.plus_p5714425477246183910nteger tptp.zero_z3403309356797280102nteger L) L)))
% 19.22/19.44  (assume a9175 (forall ((K tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger K) tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.44  (assume a9176 (forall ((L tptp.code_integer)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger tptp.zero_z3403309356797280102nteger) L) tptp.zero_z3403309356797280102nteger)))
% 19.22/19.44  (assume a9177 (forall ((M tptp.num) (N tptp.num)) (= (tptp.unique3479559517661332726nteger M N) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N)) (tptp.modulo364778990260209775nteger (tptp.numera6620942414471956472nteger M) (tptp.numera6620942414471956472nteger N))))))
% 19.22/19.44  (assume a9178 (forall ((K tptp.code_integer)) (and (=> (= K tptp.zero_z3403309356797280102nteger) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer K) tptp.zero_z3403309356797280102nteger)) (=> (not (= K tptp.zero_z3403309356797280102nteger)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) tptp.zero_z3403309356797280102nteger)) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger tptp.one_one_Code_integer))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) tptp.zero_z3403309356797280102nteger))) (= (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer K) tptp.one_one_Code_integer)))))))
% 19.22/19.44  (assume a9179 (forall ((L tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger tptp.zero_z3403309356797280102nteger L) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger L))))
% 19.22/19.44  (assume a9180 (forall ((K tptp.code_integer)) (= (tptp.minus_8373710615458151222nteger K tptp.zero_z3403309356797280102nteger) K)))
% 19.22/19.44  (assume a9181 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 19.22/19.44  (assume a9182 (= (tptp.aa_complex_real tptp.re tptp.one_one_complex) tptp.one_one_real))
% 19.22/19.44  (assume a9183 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y)))))
% 19.22/19.44  (assume a9184 (forall ((R2 tptp.real) (X tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R2) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_complex_real tptp.re X)))))
% 19.22/19.44  (assume a9185 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y)))))
% 19.22/19.44  (assume a9186 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re X))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 19.22/19.44  (assume a9187 (forall ((Z tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z))))))
% 19.22/19.44  (assume a9188 (= tptp.one_one_nat tptp.one_one_nat))
% 19.22/19.44  (assume a9189 (forall ((Z tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) tptp.zero_zero_real)) (= (tptp.aa_complex_real tptp.re Z) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 19.22/19.44  (assume a9190 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)) (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N)))))
% 19.22/19.44  (assume a9191 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.csqrt Z) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real (tptp.aa_complex_real tptp.im Z)) tptp.zero_zero_real)) tptp.one_one_real) (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9192 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.csqrt Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real (tptp.aa_complex_real tptp.im Z)) tptp.zero_zero_real)) tptp.one_one_real) (tptp.aa_real_real tptp.sgn_sgn_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9193 (forall ((K tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)) (= (tptp.code_integer_of_int K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger (tptp.code_integer_of_int (tptp.aa_int_int tptp.uminus_uminus_int K))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int))) (and (=> (= K tptp.zero_zero_int) (= (tptp.code_integer_of_int K) tptp.zero_z3403309356797280102nteger)) (=> (not (= K tptp.zero_zero_int)) (= (tptp.code_integer_of_int K) (tptp.if_Code_integer (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_int) (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.one_one_Code_integer)))))))))
% 19.22/19.44  (assume a9194 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) Z)) (tptp.aa_complex_real tptp.re Z))))
% 19.22/19.44  (assume a9195 (forall ((Z tptp.complex) (R2 tptp.real)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) R2))))
% 19.22/19.44  (assume a9196 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.sgn_sgn_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)))))
% 19.22/19.44  (assume a9197 (forall ((X tptp.complex) (N tptp.nat)) (=> (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (= (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex X) N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) N)))))
% 19.22/19.44  (assume a9198 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) Z)) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.im Z)))))
% 19.22/19.44  (assume a9199 (forall ((Z tptp.complex) (W tptp.num)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.numera6690914467698888265omplex W))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_real tptp.numeral_numeral_real W)))))
% 19.22/19.44  (assume a9200 (forall ((Z tptp.complex) (N tptp.nat)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)))))
% 19.22/19.44  (assume a9201 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re X))) (= (tptp.aa_complex_complex tptp.csqrt X) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt (tptp.aa_complex_real tptp.re X))))))))
% 19.22/19.44  (assume a9202 (forall ((X tptp.complex)) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.im X)) tptp.zero_zero_real)) (and (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re X))))) (= (tptp.aa_complex_complex tptp.csqrt (tptp.aa_complex_complex tptp.uminus1482373934393186551omplex X)) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_complex_complex tptp.csqrt X))))))
% 19.22/19.44  (assume a9203 (forall ((X tptp.complex)) (=> (= (tptp.aa_complex_real tptp.im X) tptp.zero_zero_real) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re X)) tptp.zero_zero_real)) (= (tptp.aa_complex_complex tptp.csqrt X) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re X))))))))))
% 19.22/19.44  (assume a9204 (forall ((Xa tptp.int) (X tptp.int)) (= (tptp.divide6298287555418463151nteger (tptp.code_integer_of_int Xa) (tptp.code_integer_of_int X)) (tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int Xa) X)))))
% 19.22/19.44  (assume a9205 (forall ((Xa tptp.int) (X tptp.int)) (= (tptp.modulo364778990260209775nteger (tptp.code_integer_of_int Xa) (tptp.code_integer_of_int X)) (tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int Xa) X)))))
% 19.22/19.44  (assume a9206 (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) tptp.zero_z3403309356797280102nteger))))
% 19.22/19.44  (assume a9207 (forall ((Xa tptp.int) (X tptp.int)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger (tptp.code_integer_of_int Xa)) (tptp.code_integer_of_int X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Xa) X)))))
% 19.22/19.44  (assume a9208 (forall ((K tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) tptp.zero_z3403309356797280102nteger)) (= (tptp.abs_abs_Code_integer K) (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) tptp.zero_z3403309356797280102nteger))) (= (tptp.abs_abs_Code_integer K) K)))))
% 19.22/19.44  (assume a9209 (= (tptp.aa_complex_real tptp.im tptp.imaginary_unit) tptp.one_one_real))
% 19.22/19.44  (assume a9210 (forall ((Xa tptp.int) (X tptp.int)) (= (tptp.plus_p5714425477246183910nteger (tptp.code_integer_of_int Xa) (tptp.code_integer_of_int X)) (tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Xa) X)))))
% 19.22/19.44  (assume a9211 (forall ((Xa tptp.int) (X tptp.int)) (= (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.code_integer_of_int Xa)) (tptp.code_integer_of_int X)) (tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Xa) X)))))
% 19.22/19.44  (assume a9212 (forall ((Xa tptp.int) (X tptp.int)) (= (tptp.minus_8373710615458151222nteger (tptp.code_integer_of_int Xa) (tptp.code_integer_of_int X)) (tptp.code_integer_of_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Xa) X)))))
% 19.22/19.44  (assume a9213 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))))
% 19.22/19.44  (assume a9214 (forall ((R2 tptp.real) (X tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R2) X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_complex_real tptp.im X)))))
% 19.22/19.44  (assume a9215 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))))
% 19.22/19.44  (assume a9216 (forall ((X tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)))))
% 19.22/19.44  (assume a9217 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y))))))
% 19.22/19.44  (assume a9218 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (tptp.aa_complex_real tptp.re X) (tptp.aa_complex_real tptp.re Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im Y))))))))
% 19.22/19.44  (assume a9219 (forall ((X tptp.complex) (Y tptp.complex)) (=> (= (tptp.aa_complex_real tptp.im X) (tptp.aa_complex_real tptp.im Y)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex X)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re X))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re Y))))))))
% 19.22/19.44  (assume a9220 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y))))))
% 19.22/19.44  (assume a9221 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y))))))
% 19.22/19.44  (assume a9222 (forall ((R2 tptp.real) (X tptp.complex)) (= (tptp.aa_complex_complex (tptp.real_V2046097035970521341omplex R2) X) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_complex_real tptp.re X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_complex_real tptp.im X))))))
% 19.22/19.44  (assume a9223 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y))))))
% 19.22/19.44  (assume a9224 (forall ((Z tptp.complex)) (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z)))) (and (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.csqrt Z)) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.csqrt Z))))))))
% 19.22/19.44  (assume a9225 (forall ((Z tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im Z)))))))
% 19.22/19.44  (assume a9226 (forall ((N tptp.nat) (A tptp.real)) (= (tptp.aa_real_real tptp.sin_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)) (tptp.aa_complex_real tptp.im (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex tptp.cis A)) N)))))
% 19.22/19.44  (assume a9227 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.cos_real (tptp.aa_complex_real tptp.im Z))))))
% 19.22/19.44  (assume a9228 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.exp_complex Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.exp_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.sin_real (tptp.aa_complex_real tptp.im Z))))))
% 19.22/19.44  (assume a9229 (forall ((A tptp.complex)) (= A (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_complex_real tptp.re A))) (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_complex_real tptp.im A)))))))
% 19.22/19.44  (assume a9230 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex X) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y)))))))
% 19.22/19.44  (assume a9231 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex tptp.exp_complex Z) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real tptp.exp_real (tptp.aa_complex_real tptp.re Z)))) (tptp.aa_real_complex tptp.cis (tptp.aa_complex_real tptp.im Z))))))
% 19.22/19.44  (assume a9232 (forall ((Z tptp.complex)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a9233 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re X))) (tptp.aa_complex_real tptp.im X)))))
% 19.22/19.44  (assume a9234 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_nat_complex (tptp.power_power_complex X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a9235 (forall ((Z tptp.complex)) (= (= Z tptp.zero_zero_complex) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.zero_zero_real))))
% 19.22/19.44  (assume a9236 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9237 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9238 (forall ((Z tptp.complex)) (= (not (= Z tptp.zero_zero_complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9239 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9240 (forall ((W tptp.complex) (Z tptp.complex)) (=> (= (tptp.aa_nat_complex (tptp.power_power_complex W) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Z) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re W))) (and (= (tptp.aa_complex_real tptp.re W) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im W))))) (= (tptp.aa_complex_complex tptp.csqrt Z) W)))))
% 19.22/19.44  (assume a9241 (forall ((B2 tptp.complex)) (=> (or (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re B2))) (and (= (tptp.aa_complex_real tptp.re B2) tptp.zero_zero_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im B2))))) (= (tptp.aa_complex_complex tptp.csqrt (tptp.aa_nat_complex (tptp.power_power_complex B2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) B2))))
% 19.22/19.44  (assume a9242 (forall ((X tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9243 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9244 (forall ((Z tptp.complex)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.re Z))) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_complex_real tptp.im Z)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sqrt (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))))))
% 19.22/19.44  (assume a9245 (forall ((Z tptp.complex)) (=> (not (= Z tptp.zero_zero_complex)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z))) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))))
% 19.22/19.44  (assume a9246 (forall ((X tptp.complex)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex X) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.im X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9247 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y) (tptp.aa_real_complex (tptp.complex2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.im X)) (tptp.aa_complex_real tptp.re Y))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re X)) (tptp.aa_complex_real tptp.im Y)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Y)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9248 (forall ((R2 tptp.complex) (Z tptp.complex)) (=> (tptp.member_complex R2 tptp.real_V2521375963428798218omplex) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex R2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_complex_real tptp.re R2))) (tptp.aa_complex_real tptp.im Z))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9249 (forall ((R2 tptp.complex) (Z tptp.complex)) (=> (tptp.member_complex R2 tptp.real_V2521375963428798218omplex) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex R2) Z)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_complex_real tptp.re R2)) (tptp.aa_complex_real tptp.re Z))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9250 (forall ((R2 tptp.complex) (Z tptp.complex)) (=> (tptp.member_complex R2 tptp.real_V2521375963428798218omplex) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) R2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_complex_real tptp.re R2))))))
% 19.22/19.44  (assume a9251 (forall ((Y tptp.complex) (X tptp.complex)) (=> (tptp.member_complex Y tptp.real_V2521375963428798218omplex) (=> (tptp.member_complex X tptp.real_V2521375963428798218omplex) (= (= X (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) Y)) (and (= X tptp.zero_zero_complex) (= Y tptp.zero_zero_complex)))))))
% 19.22/19.44  (assume a9252 (forall ((Y tptp.complex) (X tptp.complex)) (=> (tptp.member_complex Y tptp.real_V2521375963428798218omplex) (=> (tptp.member_complex X tptp.real_V2521375963428798218omplex) (= (= (tptp.aa_complex_complex (tptp.times_times_complex tptp.imaginary_unit) Y) X) (and (= X tptp.zero_zero_complex) (= Y tptp.zero_zero_complex)))))))
% 19.22/19.44  (assume a9253 (forall ((R2 tptp.complex) (Z tptp.complex)) (=> (tptp.member_complex R2 tptp.real_V2521375963428798218omplex) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex Z) R2)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_complex_real tptp.re R2))))))
% 19.22/19.44  (assume a9254 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.minus_minus_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.im Z)))) tptp.imaginary_unit))))
% 19.22/19.44  (assume a9255 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.re Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.im Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9256 (forall ((N tptp.num)) (= (tptp.code_integer_of_num (tptp.aa_num_num tptp.bit1 N)) (tptp.plus_p5714425477246183910nteger (tptp.plus_p5714425477246183910nteger (tptp.code_integer_of_num N) (tptp.code_integer_of_num N)) tptp.one_one_Code_integer))))
% 19.22/19.44  (assume a9257 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cnj (tptp.aa_complex_complex (tptp.times_times_complex X) Y)) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cnj X)) (tptp.aa_complex_complex tptp.cnj Y)))))
% 19.22/19.44  (assume a9258 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cnj (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex X) Y)) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex tptp.cnj X)) (tptp.aa_complex_complex tptp.cnj Y)))))
% 19.22/19.44  (assume a9259 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cnj (tptp.aa_complex_complex (tptp.plus_plus_complex X) Y)) (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex tptp.cnj X)) (tptp.aa_complex_complex tptp.cnj Y)))))
% 19.22/19.44  (assume a9260 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex tptp.cnj (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)) (tptp.aa_complex_complex (tptp.minus_minus_complex (tptp.aa_complex_complex tptp.cnj X)) (tptp.aa_complex_complex tptp.cnj Y)))))
% 19.22/19.44  (assume a9261 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z))) tptp.zero_zero_real)))
% 19.22/19.44  (assume a9262 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) tptp.zero_zero_real) (= (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2))) tptp.zero_zero_real))))
% 19.22/19.44  (assume a9263 (forall ((A tptp.complex) (B2 tptp.complex)) (= (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)) tptp.zero_zero_real) (= (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2))) tptp.zero_zero_real))))
% 19.22/19.44  (assume a9264 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z) (tptp.aa_real_real tptp.sqrt (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z)))))))
% 19.22/19.44  (assume a9265 (= (tptp.code_integer_of_num tptp.one) tptp.one_one_Code_integer))
% 19.22/19.44  (assume a9266 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2)))) tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9267 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2))))))))
% 19.22/19.44  (assume a9268 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2))))))))
% 19.22/19.44  (assume a9269 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2)))) tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9270 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2)))) tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9271 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2))))))))
% 19.22/19.44  (assume a9272 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2))))))))
% 19.22/19.44  (assume a9273 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2))) tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2)))) tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9274 (forall ((N tptp.num)) (= (tptp.code_integer_of_num (tptp.aa_num_num tptp.bit0 N)) (tptp.plus_p5714425477246183910nteger (tptp.code_integer_of_num N) (tptp.code_integer_of_num N)))))
% 19.22/19.44  (assume a9275 (forall ((Z tptp.complex)) (= (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a9276 (forall ((A tptp.complex) (B2 tptp.complex)) (and (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2)))))) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_complex_real tptp.im (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2)))))))))
% 19.22/19.44  (assume a9277 (= (tptp.code_integer_of_num (tptp.aa_num_num tptp.bit0 tptp.one)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.44  (assume a9278 (forall ((Z tptp.complex)) (= (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex Z)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj Z)))))
% 19.22/19.44  (assume a9279 (forall ((Z tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex Z) (tptp.aa_complex_complex tptp.cnj Z)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re Z))))))
% 19.22/19.44  (assume a9280 (forall ((A tptp.complex) (B2 tptp.complex)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex A) B2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_complex_complex (tptp.times_times_complex A) (tptp.aa_complex_complex tptp.cnj B2))) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_complex_real tptp.real_V1022390504157884413omplex B2)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9281 (forall ((Z tptp.complex) (W tptp.complex)) (= (tptp.aa_complex_complex (tptp.plus_plus_complex (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj W))) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_complex_complex tptp.cnj Z)) W)) (tptp.aa_real_complex tptp.real_V4546457046886955230omplex (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_complex_real tptp.re (tptp.aa_complex_complex (tptp.times_times_complex Z) (tptp.aa_complex_complex tptp.cnj W))))))))
% 19.22/19.44  (assume a9282 (forall ((K tptp.code_integer)) (= (tptp.code_bit_cut_integer K) (tptp.produc5135875973608410785r_bool (tptp.divide6298287555418463151nteger K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_bool_bool tptp.fNot (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) K))))))
% 19.22/19.44  (assume a9283 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.code_divmod_integer K L) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger K L) (tptp.modulo364778990260209775nteger K L)))))
% 19.22/19.44  (assume a9284 (forall ((U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat U)) U)))
% 19.22/19.44  (assume a9285 (forall ((N tptp.nat)) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ei N))) N)))
% 19.22/19.44  (assume a9286 (forall ((U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat U)) (tptp.aa_nat_nat tptp.suc U))))
% 19.22/19.44  (assume a9287 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat U) L))))
% 19.22/19.44  (assume a9288 (forall ((N tptp.nat)) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eh N))) (tptp.aa_nat_nat tptp.suc N))))
% 19.22/19.44  (assume a9289 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat tptp.suc U)) L))))
% 19.22/19.44  (assume a9290 (forall ((L tptp.int) (U tptp.int)) (= (tptp.finite_card_int (tptp.set_or4662586982721622107an_int L U)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int U) L)))))
% 19.22/19.44  (assume a9291 (forall ((L tptp.int) (U tptp.int)) (= (tptp.finite_card_int (tptp.set_or1266510415728281911st_int L U)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int U) L)) tptp.one_one_int)))))
% 19.22/19.44  (assume a9292 (forall ((M6 tptp.set_nat) (I tptp.nat)) (=> (not (tptp.member_nat tptp.zero_zero_nat M6)) (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_fu M6) I))) (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_fv M6) I)))))))
% 19.22/19.44  (assume a9293 (forall ((M6 tptp.set_nat) (I tptp.nat)) (=> (tptp.member_nat tptp.zero_zero_nat M6) (= (tptp.aa_nat_nat tptp.suc (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_fu M6) I)))) (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_fv M6) I)))))))
% 19.22/19.44  (assume a9294 (forall ((M6 tptp.set_nat) (I tptp.nat)) (=> (tptp.member_nat tptp.zero_zero_nat M6) (not (= (tptp.finite_card_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_fv M6) I))) tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a9295 (forall ((U tptp.int)) (= (tptp.finite_card_int (tptp.set_or4662586982721622107an_int tptp.zero_zero_int U)) (tptp.aa_int_nat tptp.nat2 U))))
% 19.22/19.44  (assume a9296 (forall ((A3 tptp.set_nat) (K tptp.nat)) (=> (tptp.ord_less_eq_set_nat A3 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.finite_card_nat A3)))) (= A3 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat K) (tptp.finite_card_nat A3)))))))
% 19.22/19.44  (assume a9297 (forall ((N2 tptp.set_nat) (N tptp.nat)) (=> (tptp.ord_less_eq_set_nat N2 (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.finite_card_nat N2)) N)))))
% 19.22/19.44  (assume a9298 (forall ((S2 tptp.set_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_bb) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.finite_card_nat S2)))) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_bb) S2)))))
% 19.22/19.44  (assume a9299 (forall ((C tptp.complex) (N tptp.nat)) (=> (not (= C tptp.zero_zero_complex)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.finite_card_complex (tptp.collect_complex (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_fj C) N))) N)))))
% 19.22/19.44  (assume a9300 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.finite_card_complex (tptp.collect_complex (tptp.aTP_Lamm_er N))) N))))
% 19.22/19.44  (assume a9301 (forall ((K tptp.code_integer)) (and (=> (= K tptp.zero_z3403309356797280102nteger) (= (tptp.code_bit_cut_integer K) (tptp.produc5135875973608410785r_bool tptp.zero_z3403309356797280102nteger tptp.fFalse))) (=> (not (= K tptp.zero_z3403309356797280102nteger)) (= (tptp.code_bit_cut_integer K) (tptp.produc6117575242473779287r_bool (tptp.aTP_Lamm_fw K) (tptp.code_divmod_abs K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9302 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.code_divmod_abs K L) (tptp.produc1086072967326762835nteger (tptp.divide6298287555418463151nteger (tptp.abs_abs_Code_integer K) (tptp.abs_abs_Code_integer L)) (tptp.modulo364778990260209775nteger (tptp.abs_abs_Code_integer K) (tptp.abs_abs_Code_integer L))))))
% 19.22/19.44  (assume a9303 (forall ((K tptp.code_integer) (L tptp.code_integer)) (and (=> (= K tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger tptp.zero_z3403309356797280102nteger))) (=> (not (= K tptp.zero_z3403309356797280102nteger)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) L)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) K)) (= (tptp.code_divmod_integer K L) (tptp.code_divmod_abs K L))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) K))) (= (tptp.code_divmod_integer K L) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_fx L) (tptp.code_divmod_abs K L)))))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) L))) (and (=> (= L tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger K))) (=> (not (= L tptp.zero_z3403309356797280102nteger)) (= (tptp.code_divmod_integer K L) (tptp.aa_Pro4693618923521437820nteger (tptp.aa_fun2509385170507305080nteger tptp.produc6499014454317279255nteger tptp.uminus1351360451143612070nteger) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) tptp.zero_z3403309356797280102nteger) (tptp.code_divmod_abs K L) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_fy L) (tptp.code_divmod_abs K L)))))))))))))
% 19.22/19.44  (assume a9304 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_maxt X) Y) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) X)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (and (=> (tptp.pp B4) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B4)) (and (=> (tptp.pp A4) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A4)) (= Y tptp.none_nat))))) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Leaf A4 B4))))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (=> (= Y tptp.none_nat) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux Uy2 Uz)) (=> (= Y (tptp.some_nat Ma2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_maxt_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux Uy2 Uz))))))))))))))
% 19.22/19.44  (assume a9305 (forall ((X tptp.vEBT_VEBT) (Y tptp.option_nat)) (=> (= (tptp.vEBT_vebt_mint X) Y) (=> (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) X)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (and (=> (tptp.pp A4) (= Y (tptp.some_nat tptp.zero_zero_nat))) (=> (not (tptp.pp A4)) (and (=> (tptp.pp B4) (= Y (tptp.some_nat tptp.one_one_nat))) (=> (not (tptp.pp B4)) (= Y tptp.none_nat))))) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Leaf A4 B4))))))) (=> (forall ((Uu tptp.nat) (Uv tptp.list_VEBT_VEBT) (Uw tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw)) (=> (= Y tptp.none_nat) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Node tptp.none_P5556105721700978146at_nat Uu Uv Uw))))))) (not (forall ((Mi2 tptp.nat) (Ma2 tptp.nat) (Ux tptp.nat) (Uy2 tptp.list_VEBT_VEBT) (Uz tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux Uy2 Uz)) (=> (= Y (tptp.some_nat Mi2)) (not (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.accp_VEBT_VEBT tptp.vEBT_vebt_mint_rel) (tptp.vEBT_Node (tptp.some_P7363390416028606310at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Mi2) Ma2)) Ux Uy2 Uz))))))))))))))
% 19.22/19.44  (assume a9306 (forall ((M tptp.nat) (K tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) K)) (= (tptp.nat_prod_decode_aux K M) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat K) M)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) K))) (= (tptp.nat_prod_decode_aux K M) (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat tptp.suc K))))))))
% 19.22/19.44  (assume a9307 (forall ((Nat tptp.nat)) (= (= Nat tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fTrue tptp.aTP_Lamm_fz) Nat)))))
% 19.22/19.44  (assume a9308 (forall ((Nat tptp.nat)) (= (not (= Nat tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fFalse tptp.aTP_Lamm_ga) Nat)))))
% 19.22/19.44  (assume a9309 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc M)) N)) (tptp.pp (tptp.aa_nat_bool (tptp.case_nat_bool tptp.fFalse (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M)) N)))))
% 19.22/19.44  (assume a9310 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.case_nat_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_gb N)) M))))
% 19.22/19.44  (assume a9311 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat (tptp.aa_nat_nat tptp.suc N)) M) (tptp.aa_nat_nat (tptp.case_nat_nat (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_gc N)) M))))
% 19.22/19.44  (assume a9312 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat tptp.aTP_Lamm_bb) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)))))
% 19.22/19.44  (assume a9313 (forall ((X tptp.nat) (Xa tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (tptp.nat_prod_decode_aux X Xa) Y) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X)) (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) Xa)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X))) (= Y (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Xa) (tptp.aa_nat_nat tptp.suc X)))))))))
% 19.22/19.44  (assume a9314 (forall ((Nat tptp.nat)) (= (tptp.aa_nat_nat tptp.pred Nat) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat tptp.aTP_Lamm_bb) Nat))))
% 19.22/19.44  (assume a9315 (forall ((X tptp.real)) (= (tptp.aa_real_int tptp.archim6058952711729229775r_real X) (tptp.the_int (tptp.aTP_Lamm_gd X)))))
% 19.22/19.44  (assume a9316 (forall ((X tptp.rat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat X) (tptp.the_int (tptp.aTP_Lamm_ge X)))))
% 19.22/19.44  (assume a9317 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K)))))))
% 19.22/19.44  (assume a9318 (forall ((K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.product_snd_nat_nat (tptp.unique5055182867167087721od_nat tptp.one K)))))
% 19.22/19.44  (assume a9319 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)))))
% 19.22/19.44  (assume a9320 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K)) tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int K) tptp.zero_zero_int)))))
% 19.22/19.44  (assume a9321 (forall ((N tptp.nat)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))
% 19.22/19.44  (assume a9322 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.product_snd_nat_nat (tptp.divmod_nat M N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat M) N))))
% 19.22/19.44  (assume a9323 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))))))
% 19.22/19.44  (assume a9324 (forall ((L tptp.num) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.numeral_numeral_nat L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_num_nat tptp.pred_numeral L)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int K))))))
% 19.22/19.44  (assume a9325 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 K)))) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.inc K)))))))
% 19.22/19.44  (assume a9326 (forall ((A tptp.rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat)) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat A))) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat A) tptp.zero_zero_rat))) (= (tptp.aa_rat_rat tptp.abs_abs_rat A) A)))))
% 19.22/19.44  (assume a9327 (forall ((A tptp.rat)) (and (=> (= A tptp.zero_zero_rat) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.zero_zero_rat)) (=> (not (= A tptp.zero_zero_rat)) (and (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) tptp.one_one_rat)) (=> (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A))) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat A) (tptp.aa_rat_rat tptp.uminus_uminus_rat tptp.one_one_rat))))))))
% 19.22/19.44  (assume a9328 (forall ((R2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R2)) (not (forall ((S3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) S3)) (forall ((T2 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) T2)) (not (= R2 (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat S3) T2)))))))))))
% 19.22/19.44  (assume a9329 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat X) Y)) (or (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (= X Y)))))
% 19.22/19.44  (assume a9330 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int M) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int N) K)) (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) (tptp.aa_int_int (tptp.bit_se545348938243370406it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) K)))))
% 19.22/19.44  (assume a9331 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int K) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.44  (assume a9332 (forall ((P2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat tptp.inverse_inverse_rat P2)) (tptp.produc4245557441103728435nt_int tptp.aTP_Lamm_gf (tptp.quotient_of P2)))))
% 19.22/19.44  (assume a9333 (forall ((Q2 tptp.int) (P2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Q2) tptp.zero_zero_int)) (= (tptp.normalize (tptp.product_Pair_int_int P2 Q2)) (tptp.normalize (tptp.product_Pair_int_int (tptp.aa_int_int tptp.uminus_uminus_int P2) (tptp.aa_int_int tptp.uminus_uminus_int Q2)))))))
% 19.22/19.44  (assume a9334 (forall ((K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.product_fst_nat_nat (tptp.unique5055182867167087721od_nat tptp.one K)))))
% 19.22/19.44  (assume a9335 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.produc6174133586879617921nteger (tptp.code_divmod_integer K L)) (tptp.modulo364778990260209775nteger K L))))
% 19.22/19.44  (assume a9336 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.produc6174133586879617921nteger (tptp.code_divmod_abs K L)) (tptp.modulo364778990260209775nteger (tptp.abs_abs_Code_integer K) (tptp.abs_abs_Code_integer L)))))
% 19.22/19.44  (assume a9337 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se8570568707652914677it_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.zero_n2687167440665602831ol_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat N) tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a9338 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.product_fst_nat_nat (tptp.divmod_nat M N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N))))
% 19.22/19.44  (assume a9339 (forall ((R2 tptp.rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int (tptp.quotient_of R2))))))
% 19.22/19.44  (assume a9340 (forall ((Q2 tptp.rat) (R2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat Q2) R2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Q2) (tptp.aa_rat_rat tptp.uminus_uminus_rat R2)))))
% 19.22/19.44  (assume a9341 (forall ((Q2 tptp.rat) (R2 tptp.rat)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat Q2) R2) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Q2) (tptp.aa_rat_rat tptp.inverse_inverse_rat R2)))))
% 19.22/19.44  (assume a9342 (forall ((P2 tptp.rat) (Q2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.divide_divide_rat P2) Q2)) (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_gh Q2) (tptp.quotient_of P2)))))
% 19.22/19.44  (assume a9343 (forall ((P2 tptp.rat) (Q2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat P2) Q2)) (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_gj Q2) (tptp.quotient_of P2)))))
% 19.22/19.44  (assume a9344 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se8570568707652914677it_nat N) (tptp.aa_int_nat tptp.nat2 K)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.bit_se8568078237143864401it_int N) K)))))
% 19.22/19.44  (assume a9345 (forall ((R2 tptp.rat) (N tptp.int) (D tptp.int)) (=> (= (tptp.quotient_of R2) (tptp.product_Pair_int_int N D)) (= R2 (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat N)) (tptp.aa_int_rat tptp.ring_1_of_int_rat D))))))
% 19.22/19.44  (assume a9346 (forall ((P2 tptp.rat) (Q2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat P2) Q2)) (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_gl Q2) (tptp.quotient_of P2)))))
% 19.22/19.44  (assume a9347 (forall ((P2 tptp.rat) (Q2 tptp.rat)) (= (tptp.quotient_of (tptp.aa_rat_rat (tptp.minus_minus_rat P2) Q2)) (tptp.produc4245557441103728435nt_int (tptp.aTP_Lamm_gn Q2) (tptp.quotient_of P2)))))
% 19.22/19.44  (assume a9348 (forall ((R2 tptp.rat) (P2 tptp.int) (Q2 tptp.int)) (=> (= (tptp.quotient_of R2) (tptp.product_Pair_int_int P2 Q2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q2)))))
% 19.22/19.44  (assume a9349 (forall ((R2 tptp.product_prod_int_int) (P2 tptp.int) (Q2 tptp.int)) (=> (= (tptp.normalize R2) (tptp.product_Pair_int_int P2 Q2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q2)))))
% 19.22/19.44  (assume a9350 (forall ((Q2 tptp.int) (S tptp.int) (P2 tptp.int) (R2 tptp.int)) (=> (not (= Q2 tptp.zero_zero_int)) (=> (not (= S tptp.zero_zero_int)) (=> (= (tptp.normalize (tptp.product_Pair_int_int P2 Q2)) (tptp.normalize (tptp.product_Pair_int_int R2 S))) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int P2) S) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int R2) Q2)))))))
% 19.22/19.44  (assume a9351 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se8570568707652914677it_nat N) M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))))
% 19.22/19.44  (assume a9352 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int tptp.one N)))))))
% 19.22/19.44  (assume a9353 (forall ((N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int (tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int tptp.one N))))))
% 19.22/19.44  (assume a9354 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int M N)))))))
% 19.22/19.44  (assume a9355 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.produc8508995932063986495nteger (tptp.code_divmod_integer K L)) (tptp.divide6298287555418463151nteger K L))))
% 19.22/19.44  (assume a9356 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.produc8508995932063986495nteger (tptp.code_divmod_abs K L)) (tptp.divide6298287555418463151nteger (tptp.abs_abs_Code_integer K) (tptp.abs_abs_Code_integer L)))))
% 19.22/19.44  (assume a9357 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.aa_int_int (tptp.adjust_mod (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.product_snd_int_int (tptp.unique5052692396658037445od_int M N))))))
% 19.22/19.44  (assume a9358 (forall ((R2 tptp.int) (L tptp.int)) (and (=> (= R2 tptp.zero_zero_int) (= (tptp.aa_int_int (tptp.adjust_mod L) R2) tptp.zero_zero_int)) (=> (not (= R2 tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.adjust_mod L) R2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int L) R2))))))
% 19.22/19.44  (assume a9359 (forall ((Y tptp.nat) (X tptp.nat)) (and (=> (= Y tptp.zero_zero_nat) (= (tptp.bezw X Y) (tptp.product_Pair_int_int tptp.one_one_int tptp.zero_zero_int))) (=> (not (= Y tptp.zero_zero_nat)) (= (tptp.bezw X Y) (tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Y))))))))))
% 19.22/19.44  (assume a9360 (forall ((X tptp.nat) (Xa tptp.nat) (Y tptp.product_prod_int_int)) (=> (= (tptp.bezw X Xa) Y) (and (=> (= Xa tptp.zero_zero_nat) (= Y (tptp.product_Pair_int_int tptp.one_one_int tptp.zero_zero_int))) (=> (not (= Xa tptp.zero_zero_nat)) (= Y (tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Xa (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Xa (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Xa (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Xa)))))))))))
% 19.22/19.44  (assume a9361 (forall ((Y tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) Y)) (= (tptp.bezw X Y) (tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Y)))))))))
% 19.22/19.44  (assume a9362 (forall ((X tptp.nat) (Xa tptp.nat) (Y tptp.product_prod_int_int)) (=> (= (tptp.bezw X Xa) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa))) (not (=> (and (=> (= Xa tptp.zero_zero_nat) (= Y (tptp.product_Pair_int_int tptp.one_one_int tptp.zero_zero_int))) (=> (not (= Xa tptp.zero_zero_nat)) (= Y (tptp.product_Pair_int_int (tptp.product_snd_int_int (tptp.bezw Xa (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.product_fst_int_int (tptp.bezw Xa (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw Xa (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa)))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) Xa)))))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.bezw_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa))))))))))
% 19.22/19.44  (assume a9363 (forall ((P2 tptp.product_prod_int_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int P2))) (= (tptp.normalize P2) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_fst_int_int P2)) (tptp.aa_int_int (tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_snd_int_int P2)) (tptp.aa_int_int (tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int P2)))) (and (=> (= (tptp.product_snd_int_int P2) tptp.zero_zero_int) (= (tptp.normalize P2) (tptp.product_Pair_int_int tptp.zero_zero_int tptp.one_one_int))) (=> (not (= (tptp.product_snd_int_int P2) tptp.zero_zero_int)) (= (tptp.normalize P2) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_fst_int_int P2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2)))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.product_snd_int_int P2)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_int_int (tptp.gcd_gcd_int (tptp.product_fst_int_int P2)) (tptp.product_snd_int_int P2))))))))))))
% 19.22/19.44  (assume a9364 (forall ((K tptp.num)) (= (tptp.frct (tptp.product_Pair_int_int tptp.one_one_int (tptp.aa_num_int tptp.numeral_numeral_int K))) (tptp.aa_rat_rat (tptp.divide_divide_rat tptp.one_one_rat) (tptp.aa_num_rat tptp.numeral_numeral_rat K)))))
% 19.22/19.44  (assume a9365 (forall ((M tptp.int) (N tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.gcd_gcd_int M) N))) (or (not (= M tptp.zero_zero_int)) (not (= N tptp.zero_zero_int))))))
% 19.22/19.44  (assume a9366 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.gcd_gcd_int X) Y) (tptp.aa_int_int (tptp.gcd_gcd_int Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) Y)))))
% 19.22/19.44  (assume a9367 (forall ((X tptp.int) (Y tptp.int)) (exists ((U3 tptp.int) (V3 tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int U3) X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int V3) Y)) (tptp.aa_int_int (tptp.gcd_gcd_int X) Y)))))
% 19.22/19.44  (assume a9368 (forall ((K tptp.int) (M tptp.int) (N tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int (tptp.gcd_gcd_int M) N)) (tptp.aa_int_int (tptp.gcd_gcd_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) M)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int K) N)))))
% 19.22/19.44  (assume a9369 (forall ((A tptp.int) (B2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.gcd_gcd_int A) B2)) A)))))
% 19.22/19.44  (assume a9370 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.gcd_gcd_int A) B2)) B2)))))
% 19.22/19.44  (assume a9371 (forall ((Y tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Y)) (= (tptp.aa_int_int (tptp.gcd_gcd_int X) Y) (tptp.aa_int_int (tptp.gcd_gcd_int Y) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int X) Y))))))
% 19.22/19.44  (assume a9372 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.gcd_gcd_int K) L) (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int (tptp.if_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int L) tptp.zero_zero_int) K) (tptp.aa_int_int (tptp.gcd_gcd_int L) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int tptp.abs_abs_int K)) (tptp.aa_int_int tptp.abs_abs_int L))))))))
% 19.22/19.44  (assume a9373 (forall ((K tptp.num) (L tptp.num)) (= (tptp.frct (tptp.product_Pair_int_int (tptp.aa_num_int tptp.numeral_numeral_int K) (tptp.aa_num_int tptp.numeral_numeral_int L))) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_num_rat tptp.numeral_numeral_rat K)) (tptp.aa_num_rat tptp.numeral_numeral_rat L)))))
% 19.22/19.44  (assume a9374 (forall ((X tptp.nat) (Xa tptp.nat) (Y tptp.product_prod_nat_nat)) (=> (= (tptp.nat_prod_decode_aux X Xa) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa))) (not (=> (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X)) (= Y (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) Xa)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Xa) X))) (= Y (tptp.nat_prod_decode_aux (tptp.aa_nat_nat tptp.suc X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Xa) (tptp.aa_nat_nat tptp.suc X)))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.nat_pr5047031295181774490ux_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa))))))))))
% 19.22/19.44  (assume a9375 (forall ((S2 tptp.set_nat)) (=> (tptp.finite_finite_nat S2) (exists ((R3 tptp.fun_nat_nat)) (and (tptp.strict1292158309912662752at_nat R3 (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.finite_card_nat S2))) (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N6) (tptp.finite_card_nat S2))) (tptp.member_nat (tptp.aa_nat_nat R3 N6) S2))))))))
% 19.22/19.44  (assume a9376 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) tptp.one_one_nat) tptp.one_one_nat)))
% 19.22/19.44  (assume a9377 (forall ((M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))
% 19.22/19.44  (assume a9378 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) N))) (or (not (= M tptp.zero_zero_nat)) (not (= N tptp.zero_zero_nat))))))
% 19.22/19.44  (assume a9379 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))))
% 19.22/19.44  (assume a9380 (forall ((K tptp.nat) (M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat K) N)))))
% 19.22/19.44  (assume a9381 (forall ((B2 tptp.nat) (A tptp.nat)) (=> (not (= B2 tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B2)) B2)))))
% 19.22/19.44  (assume a9382 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B2)) A)))))
% 19.22/19.44  (assume a9383 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) M)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)))))
% 19.22/19.44  (assume a9384 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) M)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)))))
% 19.22/19.44  (assume a9385 (forall ((Y tptp.nat) (X tptp.nat)) (=> (not (= Y tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y))))))
% 19.22/19.44  (assume a9386 (forall ((Y tptp.nat) (X tptp.nat)) (and (=> (= Y tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) X)) (=> (not (= Y tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Y)))))))
% 19.22/19.44  (assume a9387 (forall ((X tptp.nat) (Xa tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Xa) Y) (and (=> (= Xa tptp.zero_zero_nat) (= Y X)) (=> (not (= Xa tptp.zero_zero_nat)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa))))))))
% 19.22/19.44  (assume a9388 (forall ((A tptp.nat) (B2 tptp.nat)) (=> (not (= A tptp.zero_zero_nat)) (exists ((X3 tptp.nat) (Y3 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B2)))))))
% 19.22/19.44  (assume a9389 (forall ((B2 tptp.nat) (A tptp.nat)) (exists ((X3 tptp.nat) (Y3 tptp.nat)) (or (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B2))) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) X3))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) X3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) Y3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat A) B2)))))))
% 19.22/19.44  (assume a9390 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.gcd_gcd_Code_integer K L) (tptp.abs_abs_Code_integer (tptp.if_Code_integer (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer L) tptp.zero_z3403309356797280102nteger) K (tptp.gcd_gcd_Code_integer L (tptp.modulo364778990260209775nteger (tptp.abs_abs_Code_integer K) (tptp.abs_abs_Code_integer L))))))))
% 19.22/19.44  (assume a9391 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int (tptp.bezw X Y))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int X))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int (tptp.bezw X Y))) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Y))))))
% 19.22/19.44  (assume a9392 (forall ((N tptp.nat) (P tptp.fun_nat_bool) (M tptp.nat)) (=> (forall ((K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) K2)) (tptp.pp (tptp.aa_nat_bool P K2)))) (=> (forall ((K2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N)) (=> (forall ((I4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) I4)) (tptp.pp (tptp.aa_nat_bool P I4)))) (tptp.pp (tptp.aa_nat_bool P K2))))) (tptp.pp (tptp.aa_nat_bool P M))))))
% 19.22/19.44  (assume a9393 (forall ((X tptp.nat) (Xa tptp.nat) (Y tptp.nat)) (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Xa) Y) (=> (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.gcd_nat_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa))) (not (=> (and (=> (= Xa tptp.zero_zero_nat) (= Y X)) (=> (not (= Xa tptp.zero_zero_nat)) (= Y (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat Xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat X) Xa))))) (not (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.accp_P4275260045618599050at_nat tptp.gcd_nat_rel) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Xa))))))))))
% 19.22/19.44  (assume a9394 (forall ((K tptp.code_integer) (L tptp.code_integer)) (and (=> (= K tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger tptp.zero_z3403309356797280102nteger))) (=> (not (= K tptp.zero_z3403309356797280102nteger)) (and (=> (= L tptp.zero_z3403309356797280102nteger) (= (tptp.code_divmod_integer K L) (tptp.produc1086072967326762835nteger tptp.zero_z3403309356797280102nteger K))) (=> (not (= L tptp.zero_z3403309356797280102nteger)) (= (tptp.code_divmod_integer K L) (tptp.aa_Pro4693618923521437820nteger (tptp.comp_C7848664941760151970nteger (tptp.comp_f6739083541385432444nteger tptp.produc6499014454317279255nteger tptp.times_3573771949741848930nteger) tptp.sgn_sgn_Code_integer L) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer K)) (tptp.aa_Cod1783974652533396728nteger tptp.sgn_sgn_Code_integer L)) (tptp.code_divmod_abs K L) (tptp.produc6916734918728496179nteger (tptp.aTP_Lamm_go L) (tptp.code_divmod_abs K L)))))))))))
% 19.22/19.44  (assume a9395 (forall ((L tptp.int) (U tptp.int)) (= (tptp.finite_card_int (tptp.set_or5832277885323065728an_int L U)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int U) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int L) tptp.one_one_int))))))
% 19.22/19.44  (assume a9396 (forall ((K tptp.int) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int K) (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one))))))
% 19.22/19.44  (assume a9397 (forall ((N tptp.num) (K tptp.int)) (= (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) K) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_int_int (tptp.bit_se6526347334894502574or_int (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one)) K)))))
% 19.22/19.44  (assume a9398 (forall ((L tptp.int) (U tptp.int)) (tptp.finite_finite_int (tptp.set_or5832277885323065728an_int L U))))
% 19.22/19.44  (assume a9399 (= (tptp.comp_nat_nat_nat tptp.suc tptp.suc) (tptp.comp_nat_nat_nat tptp.suc tptp.suc)))
% 19.22/19.44  (assume a9400 (forall ((L tptp.int) (U tptp.int)) (= (tptp.set_or4662586982721622107an_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int L) tptp.one_one_int) U) (tptp.set_or5832277885323065728an_int L U))))
% 19.22/19.44  (assume a9401 (forall ((N tptp.num)) (= (tptp.aa_num_int (tptp.neg_numeral_sub_int (tptp.aa_num_num tptp.bitM N)) tptp.one) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_int (tptp.neg_numeral_sub_int N) tptp.one)))))
% 19.22/19.44  (assume a9402 (forall ((L tptp.nat) (U tptp.nat)) (tptp.finite_finite_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat L) U))))
% 19.22/19.44  (assume a9403 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat U) (tptp.aa_nat_nat tptp.suc L)))))
% 19.22/19.44  (assume a9404 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc L)) U) (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat L) U))))
% 19.22/19.44  (assume a9405 (forall ((X tptp.real)) (tptp.member_real (tptp.aa_real_real tptp.tanh_real X) (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real))))
% 19.22/19.44  (assume a9406 (tptp.semila1623282765462674594er_nat tptp.ord_max_nat tptp.zero_zero_nat tptp.aTP_Lamm_eh tptp.aTP_Lamm_ei))
% 19.22/19.44  (assume a9407 (forall ((N tptp.nat)) (= (tptp.compow_fun_nat_nat N tptp.suc) (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N))))
% 19.22/19.44  (assume a9408 (forall ((K tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) tptp.zero_z3403309356797280102nteger)) (= (tptp.code_int_of_integer K) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.code_int_of_integer (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger K))))) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) tptp.zero_z3403309356797280102nteger))) (and (=> (= K tptp.zero_z3403309356797280102nteger) (= (tptp.code_int_of_integer K) tptp.zero_zero_int)) (=> (not (= K tptp.zero_z3403309356797280102nteger)) (= (tptp.code_int_of_integer K) (tptp.produc1553301316500091796er_int tptp.aTP_Lamm_gp (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.44  (assume a9409 (forall ((X tptp.code_integer) (Xa tptp.code_integer)) (= (tptp.code_int_of_integer (tptp.plus_p5714425477246183910nteger X Xa)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.code_int_of_integer X)) (tptp.code_int_of_integer Xa)))))
% 19.22/19.44  (assume a9410 (forall ((X tptp.code_integer) (Xa tptp.code_integer)) (= (tptp.code_int_of_integer (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger X) Xa)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.code_int_of_integer X)) (tptp.code_int_of_integer Xa)))))
% 19.22/19.44  (assume a9411 (forall ((X tptp.code_integer) (Xa tptp.code_integer)) (= (tptp.code_int_of_integer (tptp.minus_8373710615458151222nteger X Xa)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.code_int_of_integer X)) (tptp.code_int_of_integer Xa)))))
% 19.22/19.44  (assume a9412 (forall ((X tptp.code_integer) (Xa tptp.code_integer)) (= (tptp.code_int_of_integer (tptp.divide6298287555418463151nteger X Xa)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.code_int_of_integer X)) (tptp.code_int_of_integer Xa)))))
% 19.22/19.44  (assume a9413 (forall ((X tptp.code_integer) (Xa tptp.code_integer)) (= (tptp.code_int_of_integer (tptp.modulo364778990260209775nteger X Xa)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.code_int_of_integer X)) (tptp.code_int_of_integer Xa)))))
% 19.22/19.44  (assume a9414 (forall ((X tptp.code_integer) (Xa tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger X) Xa)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.code_int_of_integer X)) (tptp.code_int_of_integer Xa))))))
% 19.22/19.44  (assume a9415 (forall ((K tptp.code_integer) (L tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger K) L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.code_int_of_integer K)) (tptp.code_int_of_integer L))))))
% 19.22/19.44  (assume a9416 (forall ((Xa tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gr) Xa) X)))))
% 19.22/19.44  (assume a9417 (forall ((M6 tptp.set_nat)) (=> (tptp.finite_finite_nat M6) (= (tptp.gcd_Gcd_nat M6) (tptp.gcd_Gcd_nat (tptp.minus_minus_set_nat M6 (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat)))))))
% 19.22/19.44  (assume a9418 (forall ((N2 tptp.set_nat)) (=> (tptp.member_nat tptp.one_one_nat N2) (= (tptp.gcd_Gcd_nat N2) tptp.one_one_nat))))
% 19.22/19.44  (assume a9419 (forall ((X tptp.product_prod_nat_nat)) (= (tptp.aa_int_nat tptp.nat2 (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) X))))
% 19.22/19.44  (assume a9420 (= tptp.one_one_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 19.22/19.44  (assume a9421 (forall ((Xa tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gt) Xa) X)))))
% 19.22/19.44  (assume a9422 (forall ((Xa tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X))) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gv) Xa) X)))))
% 19.22/19.44  (assume a9423 (forall ((Xa tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gx) Xa) X)))))
% 19.22/19.44  (assume a9424 (forall ((Xa tptp.product_prod_nat_nat) (X tptp.product_prod_nat_nat)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ Xa)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ X)) (tptp.aa_Pro4240683299535347697at_int tptp.abs_Integ (tptp.aa_Pro262675715343573244at_nat (tptp.aa_Pro8023792847356852296at_nat (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gz) Xa) X)))))
% 19.22/19.44  (assume a9425 (forall ((N tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_num tptp.inc (tptp.aa_nat_num tptp.num_of_nat N)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N))) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat tptp.suc N)) tptp.one)))))
% 19.22/19.44  (assume a9426 (forall ((Q2 tptp.num)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_num_nat tptp.numeral_numeral_nat Q2)) Q2)))
% 19.22/19.44  (assume a9427 (= (tptp.aa_nat_num tptp.num_of_nat tptp.zero_zero_nat) tptp.one))
% 19.22/19.44  (assume a9428 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_nat_num tptp.num_of_nat N)) N))))
% 19.22/19.44  (assume a9429 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) tptp.one_one_nat)) (= (tptp.aa_nat_num tptp.num_of_nat N) tptp.one))))
% 19.22/19.44  (assume a9430 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N) N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_nat_num tptp.num_of_nat N))))))
% 19.22/19.44  (assume a9431 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)) (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_nat_num tptp.num_of_nat M)) (tptp.aa_nat_num tptp.num_of_nat N)))))))
% 19.22/19.44  (assume a9432 (forall ((N tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) (tptp.aa_nat_nat tptp.suc I)))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat I) J))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) N))))))
% 19.22/19.44  (assume a9433 (forall ((X tptp.int) (Xa tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gv) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa))))))
% 19.22/19.44  (assume a9434 (forall ((X tptp.int) (Xa tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int X) Xa)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gt) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X)) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ Xa))))))
% 19.22/19.44  (assume a9435 (forall ((X tptp.int)) (= (tptp.aa_int_nat tptp.nat2 X) (tptp.aa_Pro4243173770044397973at_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (tptp.aa_int1417691210696471063at_nat tptp.rep_Integ X)))))
% 19.22/19.44  (assume a9436 (forall ((N tptp.nat) (J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I))) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat I) J))) N) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) N))))))
% 19.22/19.44  (assume a9437 (= tptp.nat_prod_encode (tptp.produc6842872674320459806at_nat tptp.aTP_Lamm_ha)))
% 19.22/19.44  (assume a9438 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.pow X) (tptp.aa_num_num tptp.bit1 Y)) (tptp.aa_num_num (tptp.times_times_num (tptp.aa_num_num tptp.sqr (tptp.aa_num_num (tptp.pow X) Y))) X))))
% 19.22/19.44  (assume a9439 (forall ((L tptp.nat) (U tptp.nat)) (tptp.finite_finite_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat L) U))))
% 19.22/19.44  (assume a9440 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.finite_card_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat L) U)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat U) L))))
% 19.22/19.44  (assume a9441 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.sqr (tptp.aa_num_num tptp.bit0 N)) (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.sqr N))))))
% 19.22/19.44  (assume a9442 (= (tptp.aa_num_num tptp.sqr tptp.one) tptp.one))
% 19.22/19.44  (assume a9443 (forall ((L tptp.nat) (U tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc L)) U) (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat L) U))))
% 19.22/19.44  (assume a9444 (forall ((X tptp.num)) (= (tptp.aa_num_num tptp.sqr X) (tptp.aa_num_num (tptp.times_times_num X) X))))
% 19.22/19.44  (assume a9445 (forall ((A tptp.nat) (B2 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B2))))))
% 19.22/19.44  (assume a9446 (forall ((B2 tptp.nat) (A tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) B2))))))
% 19.22/19.44  (assume a9447 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.pow X) (tptp.aa_num_num tptp.bit0 Y)) (tptp.aa_num_num tptp.sqr (tptp.aa_num_num (tptp.pow X) Y)))))
% 19.22/19.44  (assume a9448 (forall ((N tptp.num)) (= (tptp.aa_num_num tptp.sqr (tptp.aa_num_num tptp.bit1 N)) (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num tptp.sqr N)) N))))))
% 19.22/19.44  (assume a9449 (forall ((K tptp.nat) (M tptp.nat)) (= (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.nat_prod_decode_aux K M)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle K)) M))))
% 19.22/19.44  (assume a9450 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa)) (tptp.pp Y)) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X (tptp.vEBT_Leaf Uu Uv))) (= (tptp.pp Y) (not (= Xa tptp.one_one_nat)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (= (tptp.pp Y) (not (and (= Deg2 Xa) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Deg2) TreeList2) Summary2)) Mima)))))))))))
% 19.22/19.44  (assume a9451 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa)) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X (tptp.vEBT_Leaf Uu Uv))) (not (= Xa tptp.one_one_nat))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (not (and (= Deg2 Xa) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Deg2) TreeList2) Summary2)) Mima))))))))))
% 19.22/19.44  (assume a9452 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa))) (=> (=> (exists ((Uu tptp.bool) (Uv tptp.bool)) (= X (tptp.vEBT_Leaf Uu Uv))) (= Xa tptp.one_one_nat)) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (and (= Deg2 Xa) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Deg2) TreeList2) Summary2)) Mima)))))))))
% 19.22/19.44  (assume a9453 (forall ((L tptp.int) (U tptp.int)) (tptp.finite_finite_int (tptp.set_or6656581121297822940st_int L U))))
% 19.22/19.44  (assume a9454 (forall ((L tptp.int) (U tptp.int)) (= (tptp.finite_card_int (tptp.set_or6656581121297822940st_int L U)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int U) L)))))
% 19.22/19.44  (assume a9455 (forall ((L tptp.int) (U tptp.int)) (= (tptp.set_or1266510415728281911st_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int L) tptp.one_one_int) U) (tptp.set_or6656581121297822940st_int L U))))
% 19.22/19.44  (assume a9456 (forall ((Mima2 tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (Deg3 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid (tptp.vEBT_Node Mima2 Deg TreeList Summary)) Deg3)) (and (= Deg Deg3) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Deg) TreeList) Summary)) Mima2)))))
% 19.22/19.44  (assume a9457 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat) (Y tptp.bool)) (=> (= (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa)) (tptp.pp Y)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu Uv)) (=> (= (tptp.pp Y) (= Xa tptp.one_one_nat)) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa)))))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (=> (= (tptp.pp Y) (and (= Deg2 Xa) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Deg2) TreeList2) Summary2)) Mima))) (not (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2) Xa))))))))))))
% 19.22/19.44  (assume a9458 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu Uv)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa)) (not (= Xa tptp.one_one_nat))))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2) Xa)) (not (and (= Deg2 Xa) (forall ((X4 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X4) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X4) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Deg2) TreeList2) Summary2)) Mima))))))))))))
% 19.22/19.44  (assume a9459 (forall ((X tptp.vEBT_VEBT) (Xa tptp.nat)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X) Xa))) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat X Xa)) (=> (forall ((Uu tptp.bool) (Uv tptp.bool)) (=> (= X (tptp.vEBT_Leaf Uu Uv)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Leaf Uu Uv) Xa)) (= Xa tptp.one_one_nat)))) (not (forall ((Mima tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2)) (=> (tptp.accp_P2887432264394892906BT_nat tptp.vEBT_VEBT_valid_rel (tptp.produc738532404422230701BT_nat (tptp.vEBT_Node Mima Deg2 TreeList2 Summary2) Xa)) (and (= Deg2 Xa) (forall ((X3 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X3) (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid X3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_VEBT_valid Summary2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (= (tptp.size_s6755466524823107622T_VEBT TreeList2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Deg2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.case_o7912701867834613557at_nat (tptp.aa_bool_bool (tptp.fconj (tptp.aa_bool_bool tptp.fNot (tptp.aa_fun_nat_bool_bool tptp.fEx_nat (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Summary2)))) (tptp.fAll_VEBT_VEBT (tptp.cOMBS_6222329278419335549l_bool (tptp.cOMBB_3438363824644082366T_VEBT tptp.fimplies (tptp.cOMBC_771164880915498576T_bool tptp.member_VEBT_VEBT (tptp.set_VEBT_VEBT2 TreeList2))) (tptp.cOMBB_3745307990312268622T_VEBT tptp.fNot (tptp.cOMBB_2885587777813823575T_VEBT tptp.fEx_nat tptp.vEBT_V8194947554948674370ptions))))) (tptp.produc8955392012077580105t_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Deg2) TreeList2) Summary2)) Mima)))))))))))
% 19.22/19.44  (assume a9460 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B2)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 19.22/19.44  (assume a9461 (forall ((P tptp.fun_nat_bool) (K tptp.nat) (B2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P K)) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B2)))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) (tptp.order_Greatest_nat P)))))))
% 19.22/19.44  (assume a9462 (forall ((P tptp.fun_nat_bool) (B2 tptp.nat)) (=> (exists ((X_12 tptp.nat)) (tptp.pp (tptp.aa_nat_bool P X_12))) (=> (forall ((Y3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P Y3)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Y3) B2)))) (tptp.pp (tptp.aa_nat_bool P (tptp.order_Greatest_nat P)))))))
% 19.22/19.44  (assume a9463 (forall ((A tptp.int) (B2 tptp.int)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))) (tptp.aa_int_rat (tptp.fract A) B2))) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2)) tptp.one_one_int)))))))
% 19.22/19.44  (assume a9464 (forall ((C tptp.nat) (Y tptp.nat) (X tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) Y)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hc C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X) Y)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat X) C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Y) C)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat C) Y))) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hc C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X) Y)) (tptp.insert_nat tptp.zero_zero_nat tptp.bot_bot_set_nat))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y))) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hc C) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat X) Y)) tptp.bot_bot_set_nat)))))))
% 19.22/19.44  (assume a9465 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.case_option_int_num tptp.zero_zero_int (tptp.aTP_Lamm_hd M) (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat M) N)))))
% 19.22/19.44  (assume a9466 (forall ((M tptp.num)) (= (tptp.bit_take_bit_num tptp.zero_zero_nat M) tptp.none_num)))
% 19.22/19.44  (assume a9467 (forall ((M6 tptp.set_nat) (N2 tptp.set_nat)) (= (tptp.bij_betw_nat_nat tptp.suc M6 N2) (= (tptp.image_nat_nat tptp.suc M6) N2))))
% 19.22/19.44  (assume a9468 (forall ((N tptp.nat)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) tptp.one) (tptp.some_num tptp.one))))
% 19.22/19.44  (assume a9469 (forall ((R2 tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R2) tptp.one) (tptp.some_num tptp.one))))
% 19.22/19.44  (assume a9470 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat I) J)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat (tptp.aa_nat_nat tptp.suc I)) (tptp.aa_nat_nat tptp.suc J)))))
% 19.22/19.44  (assume a9471 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I) J)) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat (tptp.aa_nat_nat tptp.suc I)) (tptp.aa_nat_nat tptp.suc J)))))
% 19.22/19.44  (assume a9472 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat (tptp.fract C) D)) (tptp.aa_int_rat (tptp.fract (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))
% 19.22/19.44  (assume a9473 (forall ((A tptp.int) (B2 tptp.int) (C tptp.int) (D tptp.int)) (= (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat (tptp.fract C) D)) (tptp.aa_int_rat (tptp.fract (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) C)))))
% 19.22/19.44  (assume a9474 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) B2))))
% 19.22/19.44  (assume a9475 (forall ((B2 tptp.int) (D tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (=> (not (= D tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat (tptp.fract C) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.22/19.44  (assume a9476 (forall ((B2 tptp.int) (D tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (=> (not (= D tptp.zero_zero_int)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat (tptp.fract C) D)) (tptp.aa_int_rat (tptp.fract (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))
% 19.22/19.44  (assume a9477 (forall ((B2 tptp.int) (D tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (=> (not (= D tptp.zero_zero_int)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat (tptp.fract C) D))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))))
% 19.22/19.44  (assume a9478 (forall ((B2 tptp.int) (D tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (=> (not (= D tptp.zero_zero_int)) (= (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat (tptp.fract C) D)) (tptp.aa_int_rat (tptp.fract (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int B2) D)))))))
% 19.22/19.44  (assume a9479 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_rat_rat tptp.sgn_sgn_rat (tptp.aa_int_rat (tptp.fract A) B2)) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int A)) (tptp.aa_int_int tptp.sgn_sgn_int B2))))))
% 19.22/19.44  (assume a9480 (forall ((N tptp.nat)) (= (tptp.bit_take_bit_num N tptp.one) (tptp.case_nat_option_num tptp.none_num tptp.aTP_Lamm_he N))))
% 19.22/19.44  (assume a9481 (forall ((A3 tptp.set_nat)) (not (tptp.member_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc A3)))))
% 19.22/19.44  (assume a9482 (forall ((P tptp.fun_rat_bool) (Q2 tptp.rat)) (=> (forall ((A4 tptp.int) (B4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B4)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_int_rat (tptp.fract A4) B4))))) (tptp.pp (tptp.aa_rat_bool P Q2)))))
% 19.22/19.44  (assume a9483 (forall ((B2 tptp.int) (D tptp.int) (A tptp.int) (C tptp.int)) (=> (not (= B2 tptp.zero_zero_int)) (=> (not (= D tptp.zero_zero_int)) (= (= (tptp.aa_int_rat (tptp.fract A) B2) (tptp.aa_int_rat (tptp.fract C) D)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) D) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)))))))
% 19.22/19.44  (assume a9484 (forall ((C tptp.int) (A tptp.int) (B2 tptp.int)) (=> (not (= C tptp.zero_zero_int)) (= (tptp.aa_int_rat (tptp.fract (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) A)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int C) B2)) (tptp.aa_int_rat (tptp.fract A) B2)))))
% 19.22/19.44  (assume a9485 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_rat (tptp.fract (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int A) (tptp.aa_int_int (tptp.gcd_gcd_int A) B2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int B2) (tptp.aa_int_int (tptp.gcd_gcd_int A) B2))) (tptp.aa_int_rat (tptp.fract A) B2))))
% 19.22/19.44  (assume a9486 (forall ((K tptp.int) (L tptp.int)) (= (tptp.aa_int_rat (tptp.fract K) L) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat K)) (tptp.aa_int_rat tptp.ring_1_of_int_rat L)))))
% 19.22/19.44  (assume a9487 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) N))))
% 19.22/19.44  (assume a9488 (forall ((N tptp.nat)) (= (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N)) (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.one_one_nat) (tptp.aa_nat_nat tptp.suc N)))))
% 19.22/19.44  (assume a9489 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat tptp.zero_zero_nat) N))))))
% 19.22/19.44  (assume a9490 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N))))))
% 19.22/19.44  (assume a9491 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))))))
% 19.22/19.44  (assume a9492 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N))))))
% 19.22/19.44  (assume a9493 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat (tptp.fract A) B2)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) tptp.zero_zero_int))))))
% 19.22/19.44  (assume a9494 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) (tptp.aa_int_rat (tptp.fract A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) A))))))
% 19.22/19.44  (assume a9495 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_int_rat (tptp.fract A) B2)) tptp.one_one_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int A) B2))))))
% 19.22/19.44  (assume a9496 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.one_one_rat) (tptp.aa_int_rat (tptp.fract A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int B2) A))))))
% 19.22/19.44  (assume a9497 (forall ((N tptp.int) (M tptp.int)) (=> (not (= N tptp.zero_zero_int)) (= (tptp.aa_int_rat (tptp.fract (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int M) N)) N) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_int_rat (tptp.fract M) N)) tptp.one_one_rat)))))
% 19.22/19.44  (assume a9498 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat (tptp.fract A) B2)) tptp.zero_zero_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) tptp.zero_zero_int))))))
% 19.22/19.44  (assume a9499 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.zero_zero_rat) (tptp.aa_int_rat (tptp.fract A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) A))))))
% 19.22/19.44  (assume a9500 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat tptp.one_one_rat) (tptp.aa_int_rat (tptp.fract A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int B2) A))))))
% 19.22/19.44  (assume a9501 (forall ((B2 tptp.int) (A tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B2)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat (tptp.fract A) B2)) tptp.one_one_rat)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int A) B2))))))
% 19.22/19.44  (assume a9502 (forall ((N tptp.nat) (M tptp.num)) (and (=> (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat M)) tptp.zero_zero_nat) (= (tptp.bit_take_bit_num N M) tptp.none_num)) (=> (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat M)) tptp.zero_zero_nat)) (= (tptp.bit_take_bit_num N M) (tptp.some_num (tptp.aa_nat_num tptp.num_of_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat N) (tptp.aa_num_nat tptp.numeral_numeral_nat M)))))))))
% 19.22/19.44  (assume a9503 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bitM N))))))
% 19.22/19.44  (assume a9504 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bitM N))))))
% 19.22/19.44  (assume a9505 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.44  (assume a9506 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_num tptp.bit1 M)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num N M))))))
% 19.22/19.44  (assume a9507 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_nat_nat tptp.suc N) (tptp.aa_num_num tptp.bit0 M)) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_hf (tptp.bit_take_bit_num N M)))))
% 19.22/19.44  (assume a9508 (forall ((R2 tptp.num) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R2) (tptp.aa_num_num tptp.bit1 M)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.pred_numeral R2) M))))))
% 19.22/19.44  (assume a9509 (forall ((R2 tptp.num) (M tptp.num)) (= (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.numeral_numeral_nat R2) (tptp.aa_num_num tptp.bit0 M)) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_hf (tptp.bit_take_bit_num (tptp.aa_num_nat tptp.pred_numeral R2) M)))))
% 19.22/19.44  (assume a9510 (forall ((N tptp.num) (M tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit1 N)))) (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M (tptp.aa_num_num tptp.bit0 N))))))
% 19.22/19.44  (assume a9511 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_hg (tptp.bit_and_not_num M N)))))
% 19.22/19.44  (assume a9512 (= (tptp.bit_and_not_num tptp.one tptp.one) tptp.none_num))
% 19.22/19.44  (assume a9513 (forall ((N tptp.num)) (= (tptp.bit_and_not_num tptp.one (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num tptp.one))))
% 19.22/19.44  (assume a9514 (forall ((M tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M)))))
% 19.22/19.44  (assume a9515 (forall ((N tptp.num)) (= (tptp.bit_and_not_num tptp.one (tptp.aa_num_num tptp.bit1 N)) tptp.none_num)))
% 19.22/19.44  (assume a9516 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num N (tptp.aa_num_num tptp.bit0 M)) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_hh M) N))))
% 19.22/19.44  (assume a9517 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.image_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat A) B2)) (tptp.set_or1266510415728281911st_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))
% 19.22/19.44  (assume a9518 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.image_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat A) B2)) (tptp.set_or4662586982721622107an_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int A) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int B2)))))
% 19.22/19.44  (assume a9519 (forall ((M tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M)))))
% 19.22/19.44  (assume a9520 (forall ((M tptp.num) (N tptp.num) (Q2 tptp.num)) (= (= (tptp.bit_and_not_num M N) (tptp.some_num Q2)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.aa_num_int tptp.numeral_numeral_int Q2)))))
% 19.22/19.44  (assume a9521 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num N (tptp.aa_num_num tptp.bit1 M)) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_hi M) N))))
% 19.22/19.44  (assume a9522 (forall ((L tptp.int) (U tptp.int)) (= (tptp.image_int_int (tptp.aTP_Lamm_hj L) (tptp.set_or4662586982721622107an_int tptp.zero_zero_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int U) L))) (tptp.set_or4662586982721622107an_int L U))))
% 19.22/19.44  (assume a9523 (forall ((M tptp.num) (N tptp.num)) (= (= (tptp.bit_and_not_num M N) tptp.none_num) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.zero_zero_int))))
% 19.22/19.44  (assume a9524 (forall ((U tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) U)) (= (tptp.set_or4662586982721622107an_int tptp.zero_zero_int U) (tptp.image_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_int_nat tptp.nat2 U)))))))
% 19.22/19.44  (assume a9525 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num M N)))))
% 19.22/19.44  (assume a9526 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_int_int (tptp.bit_se725231765392027082nd_int (tptp.aa_int_int tptp.bit_ri7919022796975470100ot_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.case_option_int_num tptp.zero_zero_int tptp.numeral_numeral_int (tptp.bit_and_not_num N M)))))
% 19.22/19.44  (assume a9527 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.pp (tptp.aa_rat_bool tptp.positive (tptp.aa_int_rat (tptp.fract A) B2))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int A) B2))))))
% 19.22/19.44  (assume a9528 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool tptp.positive X)) (=> (tptp.pp (tptp.aa_rat_bool tptp.positive Y)) (tptp.pp (tptp.aa_rat_bool tptp.positive (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat X) Y)))))))
% 19.22/19.44  (assume a9529 (forall ((X tptp.rat) (Y tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool tptp.positive X)) (=> (tptp.pp (tptp.aa_rat_bool tptp.positive Y)) (tptp.pp (tptp.aa_rat_bool tptp.positive (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat X) Y)))))))
% 19.22/19.44  (assume a9530 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat X) Y)) (tptp.pp (tptp.aa_rat_bool tptp.positive (tptp.aa_rat_rat (tptp.minus_minus_rat Y) X))))))
% 19.22/19.44  (assume a9531 (forall ((X tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool tptp.positive X)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int (tptp.aa_rat7754553326175492643nt_int tptp.rep_Rat X))) (tptp.product_snd_int_int (tptp.aa_rat7754553326175492643nt_int tptp.rep_Rat X))))))))
% 19.22/19.44  (assume a9532 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_and_not_num X Xa) Y) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa (tptp.aa_num_num tptp.bit0 N3))) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa (tptp.aa_num_num tptp.bit1 N3))) (not (= Y tptp.none_num)))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (=> (= Xa tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M4))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M4 N3)))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M4 N3)))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (=> (= Xa tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M4))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_hg (tptp.bit_and_not_num M4 N3)))))))) (not (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M4 N3))))))))))))))))))))
% 19.22/19.44  (assume a9533 (forall ((N tptp.nat) (M tptp.num)) (= (tptp.bit_take_bit_num N M) (tptp.produc478579273971653890on_num tptp.aTP_Lamm_hn (tptp.product_Pair_nat_num N M)))))
% 19.22/19.44  (assume a9534 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N)))))
% 19.22/19.44  (assume a9535 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit1 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N)))))
% 19.22/19.44  (assume a9536 (forall ((M tptp.num) (N tptp.num)) (= (tptp.bit_and_not_num (tptp.aa_num_num tptp.bit0 M) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M N)))))
% 19.22/19.44  (assume a9537 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.option_num)) (=> (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num X) Xa) Y) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa (tptp.aa_num_num tptp.bit0 N3))) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (=> (exists ((N3 tptp.num)) (= Xa (tptp.aa_num_num tptp.bit1 N3))) (not (= Y (tptp.some_num tptp.one))))) (=> (=> (exists ((M4 tptp.num)) (= X (tptp.aa_num_num tptp.bit0 M4))) (=> (= Xa tptp.one) (not (= Y tptp.none_num)))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3)))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3)))))))) (=> (=> (exists ((M4 tptp.num)) (= X (tptp.aa_num_num tptp.bit1 M4))) (=> (= Xa tptp.one) (not (= Y (tptp.some_num tptp.one))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3)))))))) (not (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_hg (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3))))))))))))))))))))
% 19.22/19.44  (assume a9538 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.option_num)) (=> (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num X) Xa) Y) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (not (= Y tptp.none_num)))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 N3))))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 N3))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (=> (= Xa tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 M4))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3)))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3))))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (=> (= Xa tptp.one) (not (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M4))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (not (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3))))))))) (not (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (not (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3))))))))))))))))))))
% 19.22/19.44  (assume a9539 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N))))))
% 19.22/19.44  (assume a9540 (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num tptp.one) tptp.one) (tptp.some_num tptp.one)))
% 19.22/19.44  (assume a9541 (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num tptp.one) tptp.one) tptp.none_num))
% 19.22/19.44  (assume a9542 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 19.22/19.44  (assume a9543 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N)))))
% 19.22/19.44  (assume a9544 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M)) tptp.one) (tptp.some_num tptp.one))))
% 19.22/19.44  (assume a9545 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num tptp.one) (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num tptp.one))))
% 19.22/19.44  (assume a9546 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num tptp.one) (tptp.aa_num_num tptp.bit0 N)) tptp.none_num)))
% 19.22/19.44  (assume a9547 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M)) tptp.one) tptp.none_num)))
% 19.22/19.44  (assume a9548 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N)))))
% 19.22/19.44  (assume a9549 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 19.22/19.44  (assume a9550 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit0 N)) (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 19.22/19.44  (assume a9551 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit1 M)) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit0 M)))))
% 19.22/19.44  (assume a9552 (forall ((M tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M)) tptp.one) (tptp.some_num (tptp.aa_num_num tptp.bit1 M)))))
% 19.22/19.44  (assume a9553 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num tptp.one) (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num (tptp.aa_num_num tptp.bit0 N)))))
% 19.22/19.44  (assume a9554 (forall ((N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num tptp.one) (tptp.aa_num_num tptp.bit0 N)) (tptp.some_num (tptp.aa_num_num tptp.bit1 N)))))
% 19.22/19.44  (assume a9555 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num (tptp.aa_num_num tptp.bit1 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_hg (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M) N)))))
% 19.22/19.44  (assume a9556 (forall ((M tptp.num) (N tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num (tptp.aa_num_num tptp.bit0 M)) (tptp.aa_num_num tptp.bit1 N)) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M) N))))))
% 19.22/19.44  (assume a9557 (= tptp.bit_un7362597486090784418nd_num tptp.bit_un1837492267222099188nd_num))
% 19.22/19.44  (assume a9558 (= tptp.bit_un2480387367778600638or_num tptp.bit_un6178654185764691216or_num))
% 19.22/19.44  (assume a9559 (forall ((K tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K) tptp.one_one_Code_integer)) (= (tptp.code_num_of_integer K) tptp.one)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K) tptp.one_one_Code_integer))) (= (tptp.code_num_of_integer K) (tptp.produc7336495610019696514er_num tptp.aTP_Lamm_ho (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9560 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat tptp.suc M)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N)))))
% 19.22/19.44  (assume a9561 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat N) tptp.zero_zero_nat) tptp.zero_zero_nat)))
% 19.22/19.44  (assume a9562 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat tptp.zero_zero_nat) N) tptp.zero_zero_nat)))
% 19.22/19.44  (assume a9563 (forall ((K tptp.num) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_num_nat tptp.pred_numeral K)) N)))))
% 19.22/19.44  (assume a9564 (forall ((N tptp.nat) (K tptp.num)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_num_nat tptp.numeral_numeral_nat K)) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat N) (tptp.aa_num_nat tptp.pred_numeral K))))))
% 19.22/19.44  (assume a9565 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat N) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) Q2)))))
% 19.22/19.44  (assume a9566 (forall ((M tptp.nat) (N tptp.nat) (Q2 tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N)) Q2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) Q2)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N) Q2)))))
% 19.22/19.44  (assume a9567 (forall ((M tptp.nat) (I tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) I)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N)) I))))
% 19.22/19.44  (assume a9568 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int) (L tptp.int) (R2 tptp.int)) (= (tptp.aa_int_int (tptp.bit_concat_bit M (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) R2) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N) K) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N) L) R2)))))
% 19.22/19.44  (assume a9569 (forall ((M tptp.nat) (N tptp.nat) (K tptp.int) (L tptp.int)) (= (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int M) (tptp.aa_int_int (tptp.bit_concat_bit N K) L)) (tptp.aa_int_int (tptp.bit_concat_bit (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N) K) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat M) N)) L)))))
% 19.22/19.44  (assume a9570 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat (tptp.aa_nat_nat tptp.suc N)) M) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hp N)) M))))
% 19.22/19.44  (assume a9571 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) (tptp.aa_nat_nat tptp.suc N)) (tptp.aa_nat_nat (tptp.case_nat_nat tptp.zero_zero_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hq N)) M))))
% 19.22/19.44  (assume a9572 (forall ((S2 tptp.set_nat)) (=> (tptp.finite_finite_nat S2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.finite_card_nat S2)) (tptp.aa_nat_nat tptp.suc (tptp.lattic8265883725875713057ax_nat S2)))))))
% 19.22/19.44  (assume a9573 (forall ((N tptp.nat) (M tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) tptp.zero_zero_nat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat M) N) (tptp.lattic8265883725875713057ax_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_hr N) M))))))))
% 19.22/19.44  (assume a9574 (forall ((N tptp.nat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) N) (tptp.lattic8265883725875713057ax_nat (tptp.collect_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_hs N) M)))))))
% 19.22/19.44  (assume a9575 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_mi8085742599997312461d_enat Q2) tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat)))
% 19.22/19.44  (assume a9576 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_mi8085742599997312461d_enat tptp.zero_z5237406670263579293d_enat) Q2) tptp.zero_z5237406670263579293d_enat)))
% 19.22/19.44  (assume a9577 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat tptp.suc I)) J)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat I) J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I) (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat (tptp.aa_nat_nat tptp.suc I)) J)))))))
% 19.22/19.44  (assume a9578 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat tptp.suc I)) J)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat I) J)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc I) (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat (tptp.aa_nat_nat tptp.suc I)) J)))))))
% 19.22/19.44  (assume a9579 (forall ((J tptp.int) (I tptp.int) (Js tptp.list_int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I)) (= (tptp.upto_aux I J Js) Js)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I))) (= (tptp.upto_aux I J Js) (tptp.upto_aux I (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int) (tptp.cons_int J Js)))))))
% 19.22/19.44  (assume a9580 (forall ((X tptp.nat) (Xs tptp.list_nat)) (= (tptp.nat_list_encode (tptp.cons_nat X Xs)) (tptp.aa_nat_nat tptp.suc (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) (tptp.nat_list_encode Xs)))))))
% 19.22/19.44  (assume a9581 (forall ((X tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.nat_list_encode X) Y) (=> (=> (= X tptp.nil_nat) (not (= Y tptp.zero_zero_nat))) (not (forall ((X3 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X (tptp.cons_nat X3 Xs2)) (not (= Y (tptp.aa_nat_nat tptp.suc (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) (tptp.nat_list_encode Xs2)))))))))))))
% 19.22/19.44  (assume a9582 (forall ((X tptp.rat)) (= (tptp.quotient_of X) (tptp.the_Pr4378521158711661632nt_int (tptp.aTP_Lamm_ht X)))))
% 19.22/19.44  (assume a9583 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int K) (tptp.aa_int_int tptp.abs_abs_int L))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int K) L)))))
% 19.22/19.44  (assume a9584 (forall ((K tptp.int) (L tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int (tptp.aa_int_int tptp.abs_abs_int K)) L)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int K) L)))))
% 19.22/19.44  (assume a9585 (forall ((Q2 tptp.int) (P2 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) Q2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int P2) Q2)) (= (tptp.normalize (tptp.product_Pair_int_int P2 Q2)) (tptp.product_Pair_int_int P2 Q2))))))
% 19.22/19.44  (assume a9586 (forall ((A tptp.int) (D tptp.int) (B2 tptp.int) (C tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int A) D)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int B2) C)) (= (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int C)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int B2)) (tptp.aa_int_int tptp.abs_abs_int D))) (and (= (tptp.aa_int_int tptp.abs_abs_int A) (tptp.aa_int_int tptp.abs_abs_int B2)) (= (tptp.aa_int_int tptp.abs_abs_int C) (tptp.aa_int_int tptp.abs_abs_int D))))))))
% 19.22/19.44  (assume a9587 (forall ((Q2 tptp.rat)) (not (forall ((A4 tptp.int) (B4 tptp.int)) (=> (= Q2 (tptp.aa_int_rat (tptp.fract A4) B4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B4)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int A4) B4)))))))))
% 19.22/19.44  (assume a9588 (forall ((P tptp.fun_rat_bool) (Q2 tptp.rat)) (=> (forall ((A4 tptp.int) (B4 tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int A4) B4)) (tptp.pp (tptp.aa_rat_bool P (tptp.aa_int_rat (tptp.fract A4) B4)))))) (tptp.pp (tptp.aa_rat_bool P Q2)))))
% 19.22/19.44  (assume a9589 (forall ((A tptp.int) (B2 tptp.int) (X tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int A) B2)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) A)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int X) B2)) (= (tptp.aa_int_int tptp.abs_abs_int X) tptp.one_one_int))))))
% 19.22/19.44  (assume a9590 (forall ((Q2 tptp.rat)) (=> (forall ((A4 tptp.int) (B4 tptp.int)) (=> (= Q2 (tptp.aa_int_rat (tptp.fract A4) B4)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) B4)) (=> (not (= A4 tptp.zero_zero_int)) (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int A4) B4))))))) (= Q2 tptp.zero_zero_rat))))
% 19.22/19.44  (assume a9591 (forall ((M tptp.nat) (N2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat tptp.one_one_nat) M)) (= (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_hu M) N2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_hv M) N2)))) (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_hw M) N2))))))))
% 19.22/19.44  (assume a9592 (forall ((M tptp.nat) (N2 tptp.nat)) (= (tptp.finite_card_list_nat (tptp.collect_list_nat (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_hu M) N2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat N2) M)) tptp.one_one_nat)) N2))))
% 19.22/19.44  (assume a9593 (forall ((R2 tptp.rat)) (exists ((X3 tptp.product_prod_int_int)) (and (= R2 (tptp.aa_int_rat (tptp.fract (tptp.product_fst_int_int X3)) (tptp.product_snd_int_int X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int X3))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int (tptp.product_fst_int_int X3)) (tptp.product_snd_int_int X3))) (forall ((Y4 tptp.product_prod_int_int)) (=> (and (= R2 (tptp.aa_int_rat (tptp.fract (tptp.product_fst_int_int Y4)) (tptp.product_snd_int_int Y4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int Y4))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int (tptp.product_fst_int_int Y4)) (tptp.product_snd_int_int Y4)))) (= Y4 X3)))))))
% 19.22/19.44  (assume a9594 (forall ((K tptp.nat)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat tptp.suc K))) (tptp.append_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat K)) (tptp.cons_nat (tptp.aa_nat_nat tptp.suc K) tptp.nil_nat)))))
% 19.22/19.44  (assume a9595 (forall ((K tptp.nat)) (= (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat tptp.suc K))) (tptp.append_nat (tptp.linord2614967742042102400et_nat (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat K)) (tptp.cons_nat K tptp.nil_nat)))))
% 19.22/19.44  (assume a9596 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int M)) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat M) N)))))
% 19.22/19.44  (assume a9597 (forall ((N tptp.nat) (K tptp.int)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat N) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K)))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N)) K)))))
% 19.22/19.44  (assume a9598 (forall ((K tptp.int) (N tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int tptp.abs_abs_int K))) N)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int K) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int N))))))
% 19.22/19.44  (assume a9599 (forall ((A tptp.nat) (B2 tptp.nat) (X tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) A)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat X) B2)) (= X tptp.one_one_nat))))))
% 19.22/19.44  (assume a9600 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a9601 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) N))))
% 19.22/19.44  (assume a9602 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat (tptp.aa_nat_nat tptp.suc N)) N))))
% 19.22/19.44  (assume a9603 (forall ((N tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat N) (tptp.aa_nat_nat tptp.suc N)))))
% 19.22/19.44  (assume a9604 (forall ((A tptp.nat) (D tptp.nat) (B2 tptp.nat) (C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat A) D)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat B2) C)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat A) C) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat B2) D)) (and (= A B2) (= C D)))))))
% 19.22/19.44  (assume a9605 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat))))))
% 19.22/19.44  (assume a9606 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)) N)))))
% 19.22/19.44  (assume a9607 (forall ((I tptp.int) (J tptp.int)) (=> (tptp.accp_P1096762738010456898nt_int tptp.upto_rel (tptp.product_Pair_int_int I J)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (= (tptp.upto I J) (tptp.cons_int I (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int) J)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J))) (= (tptp.upto I J) tptp.nil_int))))))
% 19.22/19.44  (assume a9608 (forall ((I tptp.int) (J tptp.int)) (= (= (tptp.upto I J) tptp.nil_int) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I)))))
% 19.22/19.44  (assume a9609 (forall ((I tptp.int) (J tptp.int)) (= (= tptp.nil_int (tptp.upto I J)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I)))))
% 19.22/19.44  (assume a9610 (forall ((J tptp.int) (I tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int J) I)) (= (tptp.upto I J) tptp.nil_int))))
% 19.22/19.44  (assume a9611 (forall ((I tptp.int) (K tptp.nat) (J tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))) J)) (= (tptp.aa_nat_int (tptp.nth_int (tptp.upto I J)) K) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int K))))))
% 19.22/19.44  (assume a9612 (forall ((I tptp.int) (J tptp.int)) (= (tptp.size_size_list_int (tptp.upto I J)) (tptp.aa_int_nat tptp.nat2 (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) I)) tptp.one_one_int)))))
% 19.22/19.44  (assume a9613 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.cons_int (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.nil_int)))))
% 19.22/19.44  (assume a9614 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.cons_int (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))) (= (tptp.upto (tptp.aa_num_int tptp.numeral_numeral_int M) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.nil_int)))))
% 19.22/19.44  (assume a9615 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)) (tptp.cons_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) tptp.one_one_int) (tptp.aa_num_int tptp.numeral_numeral_int N))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_num_int tptp.numeral_numeral_int N)) tptp.nil_int)))))
% 19.22/19.44  (assume a9616 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) (tptp.cons_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) tptp.one_one_int) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N)))))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M))) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))))) (= (tptp.upto (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int M)) (tptp.aa_int_int tptp.uminus_uminus_int (tptp.aa_num_int tptp.numeral_numeral_int N))) tptp.nil_int)))))
% 19.22/19.44  (assume a9617 (forall ((I tptp.int) (J tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J) K)) (= (tptp.upto I K) (tptp.append_int (tptp.upto I J) (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) tptp.one_one_int) K)))))))
% 19.22/19.44  (assume a9618 (forall ((I tptp.int) (J tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J) K)) (= (tptp.upto I K) (tptp.append_int (tptp.upto I (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int)) (tptp.upto J K)))))))
% 19.22/19.44  (assume a9619 (forall ((I tptp.int) (J tptp.int)) (= (tptp.set_or4662586982721622107an_int I J) (tptp.set_int2 (tptp.upto I (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int))))))
% 19.22/19.44  (assume a9620 (forall ((I tptp.int) (J tptp.int)) (= (tptp.set_or6656581121297822940st_int I J) (tptp.set_int2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int) J)))))
% 19.22/19.44  (assume a9621 (forall ((I tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (= (tptp.upto I J) (tptp.cons_int I (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int) J))))))
% 19.22/19.44  (assume a9622 (forall ((X tptp.int) (Xa tptp.int) (Y tptp.list_int)) (=> (= (tptp.upto X Xa) Y) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa)) (= Y (tptp.cons_int X (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int) Xa)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa))) (= Y tptp.nil_int))))))
% 19.22/19.44  (assume a9623 (forall ((I tptp.int) (J tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (= (tptp.upto I J) (tptp.cons_int I (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int) J)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J))) (= (tptp.upto I J) tptp.nil_int)))))
% 19.22/19.44  (assume a9624 (forall ((I tptp.int) (J tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (= (tptp.upto I J) (tptp.append_int (tptp.upto I (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int)) (tptp.cons_int J tptp.nil_int))))))
% 19.22/19.44  (assume a9625 (forall ((I tptp.int) (J tptp.int)) (= (tptp.set_or5832277885323065728an_int I J) (tptp.set_int2 (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int I) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int))))))
% 19.22/19.44  (assume a9626 (forall ((I tptp.int) (J tptp.int) (K tptp.int)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int I) J)) (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int J) K)) (= (tptp.upto I K) (tptp.append_int (tptp.upto I (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int J) tptp.one_one_int)) (tptp.cons_int J (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int J) tptp.one_one_int) K))))))))
% 19.22/19.44  (assume a9627 (forall ((X tptp.int) (Xa tptp.int) (Y tptp.list_int)) (=> (= (tptp.upto X Xa) Y) (=> (tptp.accp_P1096762738010456898nt_int tptp.upto_rel (tptp.product_Pair_int_int X Xa)) (not (=> (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa)) (= Y (tptp.cons_int X (tptp.upto (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int X) tptp.one_one_int) Xa)))) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int X) Xa))) (= Y tptp.nil_int))) (not (tptp.accp_P1096762738010456898nt_int tptp.upto_rel (tptp.product_Pair_int_int X Xa)))))))))
% 19.22/19.44  (assume a9628 (forall ((X tptp.list_nat) (Y tptp.nat)) (=> (= (tptp.nat_list_encode X) Y) (=> (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) X)) (=> (=> (= X tptp.nil_nat) (=> (= Y tptp.zero_zero_nat) (not (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) tptp.nil_nat))))) (not (forall ((X3 tptp.nat) (Xs2 tptp.list_nat)) (=> (= X (tptp.cons_nat X3 Xs2)) (=> (= Y (tptp.aa_nat_nat tptp.suc (tptp.aa_Pro4243173770044397973at_nat tptp.nat_prod_encode (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X3) (tptp.nat_list_encode Xs2))))) (not (tptp.pp (tptp.aa_list_nat_bool (tptp.accp_list_nat tptp.nat_list_encode_rel) (tptp.cons_nat X3 Xs2)))))))))))))
% 19.22/19.44  (assume a9629 (forall ((X tptp.real)) (= (tptp.member_real (tptp.aa_real_real tptp.abs_abs_real X) tptp.field_5140801741446780682s_real) (tptp.member_real X tptp.field_5140801741446780682s_real))))
% 19.22/19.44  (assume a9630 (forall ((X tptp.real)) (exists ((X3 tptp.real)) (and (tptp.member_real X3 tptp.field_5140801741446780682s_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) X3))))))
% 19.22/19.44  (assume a9631 (forall ((X tptp.real)) (exists ((X3 tptp.real)) (and (tptp.member_real X3 tptp.field_5140801741446780682s_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) X))))))
% 19.22/19.44  (assume a9632 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (exists ((X3 tptp.real)) (and (tptp.member_real X3 tptp.field_5140801741446780682s_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) Y)))))))
% 19.22/19.44  (assume a9633 (forall ((X tptp.real)) (=> (tptp.member_real X tptp.field_5140801741446780682s_real) (not (forall ((M4 tptp.nat) (N3 tptp.nat)) (=> (not (= N3 tptp.zero_zero_nat)) (=> (= (tptp.aa_real_real tptp.abs_abs_real X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real M4)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.algebr934650988132801477me_nat M4) N3))))))))))
% 19.22/19.44  (assume a9634 (forall ((M tptp.num) (N tptp.num)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))) (= (tptp.upt (tptp.aa_num_nat tptp.numeral_numeral_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) (tptp.cons_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M) (tptp.upt (tptp.aa_nat_nat tptp.suc (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N))))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) (tptp.aa_num_nat tptp.numeral_numeral_nat N)))) (= (tptp.upt (tptp.aa_num_nat tptp.numeral_numeral_nat M) (tptp.aa_num_nat tptp.numeral_numeral_nat N)) tptp.nil_nat)))))
% 19.22/19.44  (assume a9635 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= (tptp.hd_nat (tptp.upt I J)) I))))
% 19.22/19.44  (assume a9636 (forall ((M tptp.nat) (I tptp.nat) (J tptp.nat)) (= (tptp.drop_nat M (tptp.upt I J)) (tptp.upt (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M) J))))
% 19.22/19.44  (assume a9637 (forall ((I tptp.nat) (M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M)) N)) (= (tptp.take_nat M (tptp.upt I N)) (tptp.upt I (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) M))))))
% 19.22/19.44  (assume a9638 (forall ((J tptp.nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I)) (= (tptp.upt I J) tptp.nil_nat))))
% 19.22/19.44  (assume a9639 (forall ((I tptp.nat) (J tptp.nat)) (= (tptp.size_size_list_nat (tptp.upt I J)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) I))))
% 19.22/19.44  (assume a9640 (forall ((I tptp.nat) (J tptp.nat)) (= (= (tptp.upt I J) tptp.nil_nat) (or (= J tptp.zero_zero_nat) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat J) I))))))
% 19.22/19.44  (assume a9641 (forall ((I tptp.nat) (K tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)) J)) (= (tptp.aa_nat_nat (tptp.nth_nat (tptp.upt I J)) K) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) K)))))
% 19.22/19.44  (assume a9642 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)) (= (tptp.groups4561878855575611511st_nat (tptp.upt M N)) (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat tptp.aTP_Lamm_bb) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat M) N))))))
% 19.22/19.44  (assume a9643 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or1269000886237332187st_nat N) M) (tptp.set_nat2 (tptp.upt N (tptp.aa_nat_nat tptp.suc M))))))
% 19.22/19.44  (assume a9644 (forall ((M tptp.nat) (N tptp.nat) (Ns tptp.list_nat) (Q2 tptp.nat)) (= (= (tptp.cons_nat M (tptp.cons_nat N Ns)) (tptp.upt M Q2)) (= (tptp.cons_nat N Ns) (tptp.upt (tptp.aa_nat_nat tptp.suc M) Q2)))))
% 19.22/19.44  (assume a9645 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat N) M) (tptp.set_nat2 (tptp.upt (tptp.aa_nat_nat tptp.suc N) (tptp.aa_nat_nat tptp.suc M))))))
% 19.22/19.44  (assume a9646 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.set_or5834768355832116004an_nat N) M) (tptp.set_nat2 (tptp.upt (tptp.aa_nat_nat tptp.suc N) M)))))
% 19.22/19.44  (assume a9647 (forall ((N tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat N) (tptp.set_nat2 (tptp.upt tptp.zero_zero_nat (tptp.aa_nat_nat tptp.suc N))))))
% 19.22/19.44  (assume a9648 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= (tptp.upt I J) (tptp.cons_nat I (tptp.upt (tptp.aa_nat_nat tptp.suc I) J))))))
% 19.22/19.44  (assume a9649 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.upt I (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)) (tptp.append_nat (tptp.upt I J) (tptp.upt J (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)))))))
% 19.22/19.44  (assume a9650 (forall ((I tptp.nat) (J tptp.nat) (X tptp.nat) (Xs tptp.list_nat)) (= (= (tptp.upt I J) (tptp.cons_nat X Xs)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= I X) (= (tptp.upt (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat I) tptp.one_one_nat) J) Xs)))))
% 19.22/19.44  (assume a9651 (forall ((I tptp.nat) (J tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= (tptp.upt I J) (tptp.cons_nat I (tptp.upt (tptp.aa_nat_nat tptp.suc I) J)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J))) (= (tptp.upt I J) tptp.nil_nat)))))
% 19.22/19.44  (assume a9652 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.upt I (tptp.aa_nat_nat tptp.suc J)) (tptp.append_nat (tptp.upt I J) (tptp.cons_nat J tptp.nil_nat))))))
% 19.22/19.44  (assume a9653 (forall ((I tptp.nat) (J tptp.nat)) (and (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.upt I (tptp.aa_nat_nat tptp.suc J)) (tptp.append_nat (tptp.upt I J) (tptp.cons_nat J tptp.nil_nat)))) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J))) (= (tptp.upt I (tptp.aa_nat_nat tptp.suc J)) tptp.nil_nat)))))
% 19.22/19.44  (assume a9654 (tptp.order_mono_nat_nat tptp.suc))
% 19.22/19.44  (assume a9655 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.order_mono_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat N)))))
% 19.22/19.44  (assume a9656 (forall ((K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) K)) (tptp.order_mono_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hx K)))))
% 19.22/19.44  (assume a9657 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.map_nat_nat tptp.suc (tptp.upt M N)) (tptp.upt (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N)))))
% 19.22/19.44  (assume a9658 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_list_nat_bool (tptp.sorted_wrt_nat tptp.ord_less_eq_nat) (tptp.upt M N)))))
% 19.22/19.44  (assume a9659 (forall ((M tptp.nat) (N tptp.nat)) (tptp.pp (tptp.aa_list_nat_bool (tptp.sorted_wrt_nat tptp.ord_less_nat) (tptp.upt M N)))))
% 19.22/19.44  (assume a9660 (forall ((N tptp.nat) (M tptp.nat)) (= (tptp.map_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hy N) (tptp.upt tptp.zero_zero_nat M)) (tptp.upt N (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))
% 19.22/19.44  (assume a9661 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.map_nat_nat tptp.aTP_Lamm_hz (tptp.upt (tptp.aa_nat_nat tptp.suc M) (tptp.aa_nat_nat tptp.suc N))) (tptp.upt M N))))
% 19.22/19.44  (assume a9662 (forall ((Ns tptp.list_nat) (I tptp.nat)) (=> (tptp.pp (tptp.aa_list_nat_bool (tptp.sorted_wrt_nat tptp.ord_less_nat) Ns)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) (tptp.size_size_list_nat Ns))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) (tptp.aa_nat_nat (tptp.nth_nat Ns) I)))))))
% 19.22/19.44  (assume a9663 (forall ((I tptp.int) (J tptp.int)) (tptp.pp (tptp.aa_list_int_bool (tptp.sorted_wrt_int tptp.ord_less_int) (tptp.upto I J)))))
% 19.22/19.44  (assume a9664 (= tptp.field_5140801741446780682s_real (tptp.collect_real tptp.aTP_Lamm_ia)))
% 19.22/19.44  (assume a9665 (= tptp.field_5140801741446780682s_real (tptp.collect_real tptp.aTP_Lamm_ib)))
% 19.22/19.44  (assume a9666 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (= (tptp.image_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ic N) tptp.top_top_set_nat) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) N)))))
% 19.22/19.44  (assume a9667 (= tptp.top_top_set_nat (tptp.insert_nat tptp.zero_zero_nat (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat))))
% 19.22/19.44  (assume a9668 (= (tptp.finite410649719033368117t_unit tptp.top_to1996260823553986621t_unit) tptp.one_one_nat))
% 19.22/19.44  (assume a9669 (forall ((A tptp.real)) (and (=> (= A tptp.zero_zero_real) (= (tptp.image_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.top_top_set_real) (tptp.insert_real tptp.zero_zero_real tptp.bot_bot_set_real))) (=> (not (= A tptp.zero_zero_real)) (= (tptp.image_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real A) tptp.top_top_set_real) tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9670 (= (tptp.finite_card_bool tptp.top_top_set_bool) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))
% 19.22/19.44  (assume a9671 (forall ((N tptp.nat) (X tptp.real)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) tptp.zero_zero_real)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X) (tptp.aa_real_real (tptp.the_in5290026491893676941l_real tptp.top_top_set_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_id N)) X))))))
% 19.22/19.44  (assume a9672 (= (tptp.finite_card_char tptp.top_top_set_char) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.44  (assume a9673 (= tptp.top_top_set_char (tptp.image_nat_char tptp.unique3096191561947761185of_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 19.22/19.44  (assume a9674 (forall ((C tptp.char)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat C)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))))
% 19.22/19.44  (assume a9675 (= (tptp.image_char_nat tptp.comm_s629917340098488124ar_nat tptp.top_top_set_char) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.44  (assume a9676 (forall ((B0 tptp.bool) (B1 tptp.bool) (B22 tptp.bool) (B32 tptp.bool) (B42 tptp.bool) (B52 tptp.bool) (B62 tptp.bool) (B72 tptp.bool)) (= (tptp.integer_of_char (tptp.char2 B0 B1 B22 B32 B42 B52 B62 B72)) (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.zero_n356916108424825756nteger B72)) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B62))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B52))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B42))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B32))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B22))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B1))) (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.zero_n356916108424825756nteger B0)))))
% 19.22/19.44  (assume a9677 (forall ((C tptp.char)) (= (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat (tptp.ascii_of C)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.bit_se2925701944663578781it_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit1 (tptp.aa_num_num tptp.bit1 tptp.one)))) (tptp.aa_char_nat tptp.comm_s629917340098488124ar_nat C)))))
% 19.22/19.44  (assume a9678 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))
% 19.22/19.44  (assume a9679 (forall ((N tptp.nat) (X tptp.real) (D4 tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (= X tptp.zero_zero_real)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= D4 (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))))) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (= D4 (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))))) (=> (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (= D4 (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) D4 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))))
% 19.22/19.44  (assume a9680 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3))) (tptp.aa_real_real F X))))))))))))
% 19.22/19.44  (assume a9681 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3)))))))))))))
% 19.22/19.44  (assume a9682 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y4))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) (tptp.aa_real_real F B2)))))))
% 19.22/19.44  (assume a9683 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y4) tptp.zero_zero_real))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A)))))))
% 19.22/19.44  (assume a9684 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y4) tptp.zero_zero_real))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A)))))))
% 19.22/19.44  (assume a9685 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Y4))))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F A)) (tptp.aa_real_real F B2)))))))
% 19.22/19.44  (assume a9686 (forall ((A tptp.real) (B2 tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_or1222579329274155063t_real A B2)) (tptp.has_fi5821293074295781190e_real G (tptp.aa_real_real G2 X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_or1222579329274155063t_real A B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real G2 X3))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real G A)) (tptp.aa_real_real G B2))))))))
% 19.22/19.44  (assume a9687 (forall ((F tptp.fun_real_real) (X tptp.real) (Y tptp.real)) (=> (forall ((X3 tptp.real)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))) (= (tptp.aa_real_real F X) (tptp.aa_real_real F Y)))))
% 19.22/19.44  (assume a9688 (forall ((F tptp.fun_real_real) (Y tptp.real) (X tptp.real)) (= (tptp.has_fi5821293074295781190e_real F Y (tptp.topolo2177554685111907308n_real (tptp.aa_real_real tptp.uminus_uminus_real X) tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aTP_Lamm_ie F) (tptp.aa_real_real tptp.uminus_uminus_real Y) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9689 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (K tptp.real)) (=> (not (= A B2)) (=> (forall ((X3 tptp.real)) (tptp.has_fi5821293074295781190e_real F K (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) K)))))
% 19.22/19.44  (assume a9690 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (K tptp.real)) (=> (not (= A B2)) (=> (forall ((X3 tptp.real)) (tptp.has_fi5821293074295781190e_real F K (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) K))))))
% 19.22/19.44  (assume a9691 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3))) (tptp.aa_real_real F X))))))))))))
% 19.22/19.44  (assume a9692 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3)))))))))))))
% 19.22/19.44  (assume a9693 (forall ((A tptp.real) (B2 tptp.real) (X tptp.real) (Y tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.member_real X (tptp.set_or1633881224788618240n_real A B2)) (=> (tptp.member_real Y (tptp.set_or1633881224788618240n_real A B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_or1633881224788618240n_real A B2)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))) (= (tptp.aa_real_real F X) (tptp.aa_real_real F Y))))))))
% 19.22/19.44  (assume a9694 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3) S2) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3))) (tptp.aa_real_real F X)))))))))))))
% 19.22/19.44  (assume a9695 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3) S2) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) H3))))))))))))))
% 19.22/19.44  (assume a9696 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3) S2) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X)) (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3))))))))))))))
% 19.22/19.44  (assume a9697 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (S2 tptp.set_real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X S2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((D2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D2)) (forall ((H3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H3)) (=> (tptp.member_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3) S2) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H3) D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) H3))) (tptp.aa_real_real F X)))))))))))))
% 19.22/19.44  (assume a9698 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (F3 tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (tptp.has_fi5821293074295781190e_real F (tptp.aa_real_real F3 X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) (tptp.aa_real_real F3 Z2)))))))))
% 19.22/19.44  (assume a9699 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y3))) D)) (= (tptp.aa_real_real F X) (tptp.aa_real_real F Y3)))) (= L tptp.zero_zero_real))))))
% 19.22/19.44  (assume a9700 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real tptp.ln_ln_real (tptp.aa_real_real tptp.inverse_inverse_real X) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9701 (forall ((A tptp.real) (B2 tptp.real) (V tptp.fun_real_real) (K tptp.real)) (=> (not (= A B2)) (=> (forall ((X3 tptp.real)) (tptp.has_fi5821293074295781190e_real V K (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))) (= (tptp.aa_real_real V (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real V A)) (tptp.aa_real_real V B2))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9702 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y3))) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F Y3)) (tptp.aa_real_real F X))))) (= L tptp.zero_zero_real))))))
% 19.22/19.44  (assume a9703 (forall ((F tptp.fun_real_real) (L tptp.real) (X tptp.real) (D tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F L (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y3))) D)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X)) (tptp.aa_real_real F Y3))))) (= L tptp.zero_zero_real))))))
% 19.22/19.44  (assume a9704 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real tptp.ln_ln_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) X) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9705 (forall ((N tptp.nat) (X tptp.real) (S tptp.set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_if N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))) (tptp.topolo2177554685111907308n_real X S))))
% 19.22/19.44  (assume a9706 (forall ((G tptp.fun_real_real) (M tptp.real) (X tptp.real) (N tptp.nat)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_ig G) N) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real G X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) tptp.one_one_nat)))) M) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9707 (forall ((Z tptp.real) (R2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Z)) (tptp.has_fi5821293074295781190e_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ih R2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Z) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real R2) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real Z tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9708 (forall ((X tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.ln_ln_real B2)) X)) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9709 (forall ((G tptp.fun_real_real) (M tptp.real) (X tptp.real) (R2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real G X))) (tptp.has_fi5821293074295781190e_real (tptp.aa_rea7340605660300375871l_real (tptp.aTP_Lamm_ii G) R2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real G X)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real R2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real tptp.one_one_nat))))) M) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 19.22/19.44  (assume a9710 (forall ((G tptp.fun_real_real) (M tptp.real) (X tptp.real) (F tptp.fun_real_real) (R2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real G M (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real G X))) (=> (tptp.has_fi5821293074295781190e_real F R2 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ij G) F) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real G X)) (tptp.aa_real_real F X))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_real_real tptp.ln_ln_real (tptp.aa_real_real G X)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real M) (tptp.aa_real_real F X))) (tptp.aa_real_real G X)))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))
% 19.22/19.44  (assume a9711 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9712 (forall ((F tptp.fun_re4238438383274954274t_real) (F3 tptp.fun_re4238438383274954274t_real) (X0 tptp.real) (A tptp.real) (B2 tptp.real) (L5 tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_ik F) N3) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real F3 X0) N3) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real))) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_or1633881224788618240n_real A B2)) (tptp.summable_real (tptp.aa_real_fun_nat_real F X3)))) (=> (tptp.member_real X0 (tptp.set_or1633881224788618240n_real A B2)) (=> (tptp.summable_real (tptp.aa_real_fun_nat_real F3 X0)) (=> (tptp.summable_real L5) (=> (forall ((N3 tptp.nat) (X3 tptp.real) (Y3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_or1633881224788618240n_real A B2)) (=> (tptp.member_real Y3 (tptp.set_or1633881224788618240n_real A B2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real F X3) N3)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real F Y3) N3)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real L5 N3)) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X3) Y3)))))))) (tptp.has_fi5821293074295781190e_real (tptp.aTP_Lamm_il F) (tptp.suminf_real (tptp.aa_real_fun_nat_real F3 X0)) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real))))))))))
% 19.22/19.44  (assume a9713 (forall ((X tptp.real)) (tptp.has_fi5821293074295781190e_real tptp.arctan (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))
% 19.22/19.44  (assume a9714 (forall ((X tptp.real) (A3 tptp.set_real)) (tptp.has_fi5821293074295781190e_real tptp.arsinh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real X A3))))
% 19.22/19.44  (assume a9715 (forall ((X tptp.real) (D4 tptp.real)) (=> (not (= X tptp.zero_zero_real)) (=> (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (= D4 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (=> (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.zero_zero_real)) (= D4 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt X)))) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.has_fi5821293074295781190e_real tptp.sqrt D4 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))
% 19.22/19.44  (assume a9716 (forall ((X tptp.real) (A3 tptp.set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.has_fi5821293074295781190e_real tptp.arcosh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_real))) (tptp.topolo2177554685111907308n_real X A3)))))
% 19.22/19.44  (assume a9717 (forall ((X tptp.real) (A3 tptp.set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.artanh_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.topolo2177554685111907308n_real X A3)))))
% 19.22/19.44  (assume a9718 (forall ((R tptp.real) (F tptp.fun_nat_real) (X0 tptp.real)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real R) R)) (tptp.summable_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_im F) X3)))) (=> (tptp.member_real X0 (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real R) R)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R)) (tptp.has_fi5821293074295781190e_real (tptp.aTP_Lamm_io F) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_im F) X0)) (tptp.topolo2177554685111907308n_real X0 tptp.top_top_set_real)))))))
% 19.22/19.44  (assume a9719 (forall ((N tptp.nat) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) X)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 19.22/19.44  (assume a9720 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.arccos (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 19.22/19.44  (assume a9721 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.arcsin (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real tptp.sqrt (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 19.22/19.44  (assume a9722 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X tptp.real) (N tptp.nat)) (=> (and (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (forall ((M4 tptp.nat) (X3 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ip Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N)))))))))
% 19.22/19.44  (assume a9723 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (X tptp.real) (N tptp.nat)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (X3 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ip Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 19.22/19.44  (assume a9724 (forall ((N tptp.nat) (X tptp.real)) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (=> (not (= X tptp.zero_zero_real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real tptp.root N) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root N) X)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))
% 19.22/19.44  (assume a9725 (forall ((H tptp.real) (N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_iq H) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N))))))))))))
% 19.22/19.44  (assume a9726 (forall ((H tptp.real) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) H)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) H)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_iq H) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N)))))))))))
% 19.22/19.44  (assume a9727 (forall ((H tptp.real) (N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H) tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real H) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) tptp.zero_zero_real))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real H) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) tptp.zero_zero_real)) (= (tptp.aa_real_real F H) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_iq H) Diff) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real H) N))))))))))))
% 19.22/19.44  (assume a9728 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X tptp.real)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (not (= X tptp.zero_zero_real)) (=> (forall ((M4 tptp.nat) (X3 tptp.real)) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real tptp.abs_abs_real T2))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ip Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))))
% 19.22/19.44  (assume a9729 (forall ((Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (N tptp.nat) (X tptp.real)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X)))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real T2)) (tptp.aa_real_real tptp.abs_abs_real X))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ip Diff) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) N))))))))))
% 19.22/19.44  (assume a9730 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B2 tptp.real) (C tptp.real) (X tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) B2))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) B2)) (=> (not (= X C)) (exists ((T2 tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) C)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) C)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) C))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) X)))) (= (tptp.aa_real_real F X) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_ir Diff) C) X) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) C)) N))))))))))))))))
% 19.22/19.44  (assume a9731 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) B2))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) B2)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) B2)) (= (tptp.aa_real_real F B2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_is Diff) B2) C) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) C)) N)))))))))))))
% 19.22/19.44  (assume a9732 (forall ((N tptp.nat) (Diff tptp.fun_na6724076748692969250l_real) (F tptp.fun_real_real) (A tptp.real) (B2 tptp.real) (C tptp.real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (= (tptp.aa_nat_fun_real_real Diff tptp.zero_zero_nat) F) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) B2))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C) B2)) (exists ((T2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real T2) C)) (= (tptp.aa_real_real F A) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_is Diff) A) C) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat N))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff N) T2)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real N))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) C)) N)))))))))))))
% 19.22/19.44  (assume a9733 (forall ((N tptp.nat) (H tptp.real) (Diff tptp.fun_na6724076748692969250l_real) (K tptp.nat) (B3 tptp.real)) (=> (forall ((M4 tptp.nat) (T2 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M4) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T2) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real Diff M4) (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M4)) T2) (tptp.topolo2177554685111907308n_real T2 tptp.top_top_set_real)))) (=> (= N (tptp.aa_nat_nat tptp.suc K)) (forall ((M5 tptp.nat) (T3 tptp.real)) (=> (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M5) N)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) T3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real T3) H))) (tptp.has_fi5821293074295781190e_real (tptp.aa_nat_fun_real_real (tptp.aa_rea1103652080130114956l_real (tptp.aa_fun2567993205388704171l_real (tptp.aTP_Lamm_iu N) Diff) B3) M5) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Diff (tptp.aa_nat_nat tptp.suc M5)) T3)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_iv Diff) M5) T3) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc M5))))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real B3) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real T3) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc M5)))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat N) (tptp.aa_nat_nat tptp.suc M5))))))) (tptp.topolo2177554685111907308n_real T3 tptp.top_top_set_real))))))))
% 19.22/19.44  (assume a9734 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.has_fi5821293074295781190e_real tptp.aTP_Lamm_iw (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ix X)) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))
% 19.22/19.44  (assume a9735 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real) F))) (exists ((L6 tptp.real) (M9 tptp.real)) (and (forall ((X4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X4) B2))) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L6) (tptp.aa_real_real F X4))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real F X4)) M9))))) (forall ((Y4 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L6) Y4)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Y4) M9))) (exists ((X3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (= (tptp.aa_real_real F X3) Y4)))))))))))
% 19.22/19.44  (assume a9736 (forall ((F tptp.fun_real_real) (L tptp.real) (C tptp.real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real L) (tptp.topolo2177554685111907308n_real C tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real L) tptp.zero_zero_real)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (forall ((X4 tptp.real)) (=> (and (not (= X4 C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) X4))) R3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F X4)) tptp.zero_zero_real))))))))))
% 19.22/19.44  (assume a9737 (forall ((F tptp.fun_real_real) (L tptp.real) (C tptp.real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real L) (tptp.topolo2177554685111907308n_real C tptp.top_top_set_real)) (=> (not (= L tptp.zero_zero_real)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (forall ((X4 tptp.real)) (=> (and (not (= X4 C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) X4))) R3))) (not (= (tptp.aa_real_real F X4) tptp.zero_zero_real))))))))))
% 19.22/19.44  (assume a9738 (forall ((F tptp.fun_real_real) (L tptp.real) (C tptp.real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real L) (tptp.topolo2177554685111907308n_real C tptp.top_top_set_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) L)) (exists ((R3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) R3)) (forall ((X4 tptp.real)) (=> (and (not (= X4 C)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real C) X4))) R3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F X4)))))))))))
% 19.22/19.44  (assume a9739 (forall ((X tptp.real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.sqrt)))
% 19.22/19.44  (assume a9740 (forall ((X tptp.real) (N tptp.nat)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) (tptp.aa_nat_fun_real_real tptp.root N))))
% 19.22/19.44  (assume a9741 (forall ((X tptp.real)) (=> (not (tptp.member_real X tptp.ring_1_Ints_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.archim2898591450579166408c_real))))
% 19.22/19.44  (assume a9742 (forall ((A tptp.real) (X tptp.real) (B2 tptp.real) (G tptp.fun_real_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B2)) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z2) B2)) (= (tptp.aa_real_real G (tptp.aa_real_real F Z2)) Z2)))) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z2) B2)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real) F)))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real F X) tptp.top_top_set_real) G)))))))
% 19.22/19.44  (assume a9743 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.arcosh_real))))
% 19.22/19.44  (assume a9744 (tptp.filterlim_real_real tptp.aTP_Lamm_iy (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.top_top_set_real)))
% 19.22/19.44  (assume a9745 (forall ((X tptp.real)) (=> (not (tptp.member_real X tptp.ring_1_Ints_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) (tptp.comp_int_real_real tptp.ring_1_of_int_real tptp.archim6058952711729229775r_real)))))
% 19.22/19.44  (assume a9746 (forall ((F tptp.fun_real_real) (D4 tptp.real) (G tptp.fun_real_real) (X tptp.real) (A tptp.real) (B2 tptp.real)) (=> (tptp.has_fi5821293074295781190e_real F D4 (tptp.topolo2177554685111907308n_real (tptp.aa_real_real G X) tptp.top_top_set_real)) (=> (not (= D4 tptp.zero_zero_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) B2)) (=> (forall ((Y3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Y3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y3) B2)) (= (tptp.aa_real_real F (tptp.aa_real_real G Y3)) Y3)))) (=> (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) G) (tptp.has_fi5821293074295781190e_real G (tptp.aa_real_real tptp.inverse_inverse_real D4) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real))))))))))
% 19.22/19.44  (assume a9747 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.arccos)))))
% 19.22/19.44  (assume a9748 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.arcsin)))))
% 19.22/19.44  (assume a9749 (forall ((B2 tptp.real) (X tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) X)) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 (tptp.set_or1633881224788618240n_real B2 X)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X3))))) (=> (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) F) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_real_real F X))))))))
% 19.22/19.44  (assume a9750 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real) tptp.artanh_real)))))
% 19.22/19.44  (assume a9751 (forall ((D tptp.real) (X tptp.real) (G tptp.fun_real_real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) D)) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z2) X))) D)) (= (tptp.aa_real_real G (tptp.aa_real_real F Z2)) Z2))) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Z2) X))) D)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real) F))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real F X) tptp.top_top_set_real) G))))))
% 19.22/19.44  (assume a9752 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F3 tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z2) B2)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real) F)))) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Z2) B2)) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real) G)))) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) B2)) (tptp.has_fi5821293074295781190e_real G (tptp.aa_real_real G2 Z2) (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real))))) (=> (forall ((Z2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z2)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) B2)) (tptp.has_fi5821293074295781190e_real F (tptp.aa_real_real F3 Z2) (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real))))) (exists ((C3 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C3) B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A))) (tptp.aa_real_real G2 C3)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real G B2)) (tptp.aa_real_real G A))) (tptp.aa_real_real F3 C3))))))))))))
% 19.22/19.44  (assume a9753 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_nat_real A tptp.zero_zero_nat))) (forall ((N6 tptp.nat)) (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_iz A)) (tptp.set_or1222579329274155063t_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N6))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N6)) tptp.one_one_nat)))))))))))
% 19.22/19.44  (assume a9754 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_nat_real A tptp.zero_zero_nat)) tptp.zero_zero_real)) (forall ((N6 tptp.nat)) (tptp.member_real (tptp.suminf_real (tptp.aTP_Lamm_iz A)) (tptp.set_or1222579329274155063t_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N6)) tptp.one_one_nat))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N6)))))))))))
% 19.22/19.44  (assume a9755 (forall ((X5 tptp.fun_nat_real) (B3 tptp.real)) (=> (tptp.order_mono_nat_real X5) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X5 I3)) B3))) (not (forall ((L6 tptp.real)) (=> (tptp.filterlim_nat_real X5 (tptp.topolo2815343760600316023s_real L6) tptp.at_top_nat) (not (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X5 I4)) L6)))))))))))
% 19.22/19.44  (assume a9756 (forall ((C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.filterlim_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat C) tptp.at_top_nat tptp.at_top_nat))))
% 19.22/19.44  (assume a9757 (forall ((C tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) C)) (tptp.filterlim_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aw C) tptp.at_top_nat tptp.at_top_nat))))
% 19.22/19.44  (assume a9758 (forall ((X5 tptp.fun_nat_real) (B3 tptp.real)) (=> (tptp.topolo6980174941875973593q_real X5) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real X5 I3))) B3))) (not (forall ((L6 tptp.real)) (not (tptp.filterlim_nat_real X5 (tptp.topolo2815343760600316023s_real L6) tptp.at_top_nat))))))))
% 19.22/19.44  (assume a9759 (tptp.filterlim_nat_real tptp.aTP_Lamm_ja (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat))
% 19.22/19.44  (assume a9760 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real G (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real G N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real G N3)))) (=> (tptp.filterlim_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_jb F) G) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (exists ((L2 tptp.real)) (and (forall ((N6 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N6)) L2))) (tptp.filterlim_nat_real F (tptp.topolo2815343760600316023s_real L2) tptp.at_top_nat) (forall ((N6 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L2) (tptp.aa_nat_real G N6)))) (tptp.filterlim_nat_real G (tptp.topolo2815343760600316023s_real L2) tptp.at_top_nat)))))))))
% 19.22/19.44  (assume a9761 (forall ((X5 tptp.fun_nat_real)) (=> (forall ((R3 tptp.real)) (exists ((N7 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N7) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real R3) (tptp.aa_nat_real X5 N3))))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_jc X5) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.22/19.44  (assume a9762 (tptp.filterlim_nat_real tptp.aTP_Lamm_jd (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))
% 19.22/19.44  (assume a9763 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) C)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_je C) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat))))
% 19.22/19.44  (assume a9764 (tptp.filterlim_nat_real tptp.aTP_Lamm_jf (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))
% 19.22/19.44  (assume a9765 (forall ((R2 tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jg R2) (tptp.topolo2815343760600316023s_real R2) tptp.at_top_nat)))
% 19.22/19.44  (assume a9766 (forall ((F tptp.fun_nat_real) (L tptp.real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F (tptp.aa_nat_nat tptp.suc N3))))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) L))) (=> (forall ((E2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) E2)) (exists ((N6 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_nat_real F N6)) E2)))))) (tptp.filterlim_nat_real F (tptp.topolo2815343760600316023s_real L) tptp.at_top_nat))))))
% 19.22/19.44  (assume a9767 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat)))))
% 19.22/19.44  (assume a9768 (forall ((X tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_jh X) A) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.22/19.44  (assume a9769 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real C)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real C)) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.22/19.44  (assume a9770 (forall ((C tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.abs_abs_real C)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real C) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.22/19.44  (assume a9771 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) X)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ji X) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.22/19.44  (assume a9772 (forall ((R2 tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jj R2) (tptp.topolo2815343760600316023s_real R2) tptp.at_top_nat)))
% 19.22/19.44  (assume a9773 (forall ((X tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jk X) (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.exp_real X)) tptp.at_top_nat)))
% 19.22/19.44  (assume a9774 (forall ((R2 tptp.real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jl R2) (tptp.topolo2815343760600316023s_real R2) tptp.at_top_nat)))
% 19.22/19.44  (assume a9775 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (tptp.summable_real (tptp.aTP_Lamm_iz A))))))
% 19.22/19.44  (assume a9776 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.summable_real (tptp.aTP_Lamm_iz A)))))))
% 19.22/19.44  (assume a9777 (forall ((Theta tptp.fun_nat_real) (Theta2 tptp.real)) (=> (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_jm Theta) Theta2) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat) (not (forall ((K2 tptp.fun_nat_int)) (not (tptp.filterlim_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_jn Theta) K2) (tptp.topolo2815343760600316023s_real Theta2) tptp.at_top_nat)))))))
% 19.22/19.44  (assume a9778 (forall ((Theta tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real (tptp.aTP_Lamm_jo Theta) (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_nat) (exists ((K2 tptp.fun_nat_int)) (tptp.filterlim_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_jn Theta) K2) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat)))))
% 19.22/19.44  (assume a9779 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (tptp.filterlim_nat_real (tptp.aTP_Lamm_jp A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_iz A))) tptp.at_top_nat)))))
% 19.22/19.44  (assume a9780 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.abs_abs_real X)) tptp.one_one_real)) (tptp.filterlim_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_bt X) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat))))
% 19.22/19.44  (assume a9781 (forall ((A tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)))) (tptp.suminf_real (tptp.aTP_Lamm_iz A)))))))))
% 19.22/19.44  (assume a9782 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_jp A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_iz A))) tptp.at_top_nat))))))
% 19.22/19.44  (assume a9783 (forall ((A tptp.fun_nat_real)) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (exists ((L2 tptp.real)) (and (forall ((N6 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N6)))) L2))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_jp A) (tptp.topolo2815343760600316023s_real L2) tptp.at_top_nat) (forall ((N6 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L2) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N6)) tptp.one_one_nat)))))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_jq A) (tptp.topolo2815343760600316023s_real L2) tptp.at_top_nat))))))))
% 19.22/19.44  (assume a9784 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (tptp.topolo6980174941875973593q_real A) (tptp.filterlim_nat_real (tptp.aTP_Lamm_jq A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_iz A))) tptp.at_top_nat)))))
% 19.22/19.44  (assume a9785 (forall ((A tptp.fun_nat_real)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.filterlim_nat_real (tptp.aTP_Lamm_jq A) (tptp.topolo2815343760600316023s_real (tptp.suminf_real (tptp.aTP_Lamm_iz A))) tptp.at_top_nat))))))
% 19.22/19.44  (assume a9786 (forall ((A tptp.fun_nat_real) (N tptp.nat)) (=> (tptp.filterlim_nat_real A (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_nat) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real A N3)))) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real A (tptp.aa_nat_nat tptp.suc N3))) (tptp.aa_nat_real A N3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real (tptp.aTP_Lamm_iz A))) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz A) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) tptp.one_one_nat))))))))))
% 19.22/19.44  (assume a9787 (forall ((P tptp.fun_nat_bool)) (= (tptp.eventually_nat (tptp.aTP_Lamm_jr P) tptp.at_top_nat) (tptp.eventually_nat P tptp.at_top_nat))))
% 19.22/19.44  (assume a9788 (forall ((P tptp.fun_nat_bool) (K tptp.nat)) (= (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_js P) K) tptp.at_top_nat) (tptp.eventually_nat P tptp.at_top_nat))))
% 19.22/19.44  (assume a9789 (forall ((P tptp.fun_nat_bool) (K tptp.nat)) (=> (tptp.eventually_nat P tptp.at_top_nat) (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_js P) K) tptp.at_top_nat))))
% 19.22/19.44  (assume a9790 (forall ((P tptp.fun_nat_bool)) (= (tptp.eventually_nat P tptp.at_top_nat) (exists ((N8 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N8) N5)) (tptp.pp (tptp.aa_nat_bool P N5))))))))
% 19.22/19.44  (assume a9791 (forall ((C tptp.nat) (P tptp.fun_nat_bool)) (=> (forall ((X3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat C) X3)) (tptp.pp (tptp.aa_nat_bool P X3)))) (tptp.eventually_nat P tptp.at_top_nat))))
% 19.22/19.44  (assume a9792 (forall ((F4 tptp.filter_nat)) (= (tptp.ord_le2510731241096832064er_nat F4 tptp.at_top_nat) (forall ((N8 tptp.nat)) (tptp.eventually_nat (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N8) F4)))))
% 19.22/19.44  (assume a9793 (tptp.filterlim_nat_nat tptp.suc tptp.at_top_nat tptp.at_top_nat))
% 19.22/19.44  (assume a9794 (forall ((F tptp.fun_real_real)) (= (tptp.real_V5970128139526366754l_real F) (exists ((C2 tptp.real)) (forall ((X2 tptp.real)) (= (tptp.aa_real_real F X2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X2) C2)))))))
% 19.22/19.44  (assume a9795 (tptp.filterlim_real_real tptp.sqrt tptp.at_top_real tptp.at_top_real))
% 19.22/19.44  (assume a9796 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F3 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F3) G2) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))))))))))
% 19.22/19.44  (assume a9797 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F3 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F3) G2) tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)))))))))
% 19.22/19.44  (assume a9798 (forall ((B2 tptp.real) (A tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real B2) A)) (tptp.eventually_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_jv B2) A) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))))))
% 19.22/19.44  (assume a9799 (forall ((G tptp.fun_real_real) (X tptp.real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F3 tptp.fun_real_real) (Y tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G) F) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))))))))))
% 19.22/19.44  (assume a9800 (forall ((G tptp.fun_real_real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F3 tptp.fun_real_real) (X tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real tptp.at_top_real) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) tptp.at_top_real) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) tptp.at_top_real) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) tptp.at_top_real) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) (tptp.topolo2815343760600316023s_real X) tptp.at_top_real) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G) F) (tptp.topolo2815343760600316023s_real X) tptp.at_top_real))))))))
% 19.22/19.44  (assume a9801 (forall ((G tptp.fun_real_real) (X tptp.real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F3 tptp.fun_real_real) (Y tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G) F) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))))
% 19.22/19.44  (assume a9802 (tptp.filterlim_real_real tptp.tanh_real (tptp.topolo2815343760600316023s_real tptp.one_one_real) tptp.at_top_real))
% 19.22/19.44  (assume a9803 (tptp.filterlim_real_real tptp.artanh_real tptp.at_top_real (tptp.topolo2177554685111907308n_real tptp.one_one_real (tptp.set_or5984915006950818249n_real tptp.one_one_real))))
% 19.22/19.44  (assume a9804 (tptp.filterlim_real_real tptp.aTP_Lamm_jy (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_real))
% 19.22/19.44  (assume a9805 (forall ((K tptp.nat)) (tptp.filterlim_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_jz K) (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) tptp.at_top_real)))
% 19.22/19.44  (assume a9806 (forall ((F tptp.fun_real_real) (X tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F3 tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.filterlim_real_real G (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) F4 (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) F4 (tptp.topolo2177554685111907308n_real X (tptp.set_or5984915006950818249n_real X))))))))))))
% 19.22/19.44  (assume a9807 (forall ((F tptp.fun_real_real) (X tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F3 tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.filterlim_real_real G (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) F4 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) F4 (tptp.topolo2177554685111907308n_real X tptp.top_top_set_real)))))))))))
% 19.22/19.44  (assume a9808 (forall ((X tptp.real)) (tptp.filterlim_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ka X) (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.exp_real X)) tptp.at_top_real)))
% 19.22/19.44  (assume a9809 (tptp.filterlim_real_real tptp.tan_real tptp.at_top_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.set_or5984915006950818249n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a9810 (forall ((B2 tptp.real) (F tptp.fun_real_real) (Flim tptp.real)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) X3)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y4) tptp.zero_zero_real)))))) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real Flim) tptp.at_top_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Flim) (tptp.aa_real_real F B2)))))))
% 19.22/19.44  (assume a9811 (tptp.filterlim_real_real tptp.arctan (tptp.topolo2815343760600316023s_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.at_top_real))
% 19.22/19.44  (assume a9812 (forall ((N tptp.nat) (F tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.filterlim_real_real F tptp.at_bot_real F4) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_kb N) F) tptp.at_top_real F4))))))
% 19.22/19.44  (assume a9813 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V975177566351809787t_real X) Y) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real X) Y)))))
% 19.22/19.44  (assume a9814 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_real (tptp.real_V3694042436643373181omplex X) Y) (tptp.aa_complex_real tptp.real_V1022390504157884413omplex (tptp.aa_complex_complex (tptp.minus_minus_complex X) Y)))))
% 19.22/19.44  (assume a9815 (tptp.filterlim_real_real tptp.tanh_real (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) tptp.at_bot_real))
% 19.22/19.44  (assume a9816 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F3 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real G tptp.at_bot_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F3) G2) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A tptp.top_top_set_real)))))))))
% 19.22/19.44  (assume a9817 (forall ((B2 tptp.real) (F tptp.fun_real_real) (Flim tptp.real)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y4)))))) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real Flim) tptp.at_bot_real) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Flim) (tptp.aa_real_real F B2)))))))
% 19.22/19.44  (assume a9818 (forall ((N tptp.nat) (F tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (=> (tptp.filterlim_real_real F tptp.at_bot_real F4) (=> (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_kb N) F) tptp.at_bot_real F4))))))
% 19.22/19.44  (assume a9819 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F3 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real G tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F3) G2) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5984915006950818249n_real A))))))))))
% 19.22/19.44  (assume a9820 (tptp.filterlim_real_real tptp.arctan (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) tptp.at_bot_real))
% 19.22/19.44  (assume a9821 (forall ((X5 tptp.fun_nat_real) (B3 tptp.real)) (=> (tptp.order_mono_nat_real X5) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X5 I3)) B3))) (tptp.bfun_nat_real X5 tptp.at_top_nat)))))
% 19.22/19.44  (assume a9822 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.bfun_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real X) tptp.at_top_nat)))))
% 19.22/19.44  (assume a9823 (forall ((X tptp.real)) (tptp.filterlim_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_kc X) (tptp.topolo2815343760600316023s_real (tptp.aa_real_real tptp.exp_real X)) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9824 (tptp.filterlim_real_real tptp.tan_real tptp.at_bot_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.set_or5849166863359141190n_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a9825 (forall ((P tptp.fun_real_bool) (A tptp.real)) (= (tptp.eventually_real P (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (tptp.eventually_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_kd P) A) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))
% 19.22/19.44  (assume a9826 (forall ((A tptp.real) (B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (tptp.eventually_real (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_jv A) B2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))))))
% 19.22/19.44  (assume a9827 (tptp.filterlim_real_real tptp.arcosh_real (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real tptp.one_one_real (tptp.set_or5849166863359141190n_real tptp.one_one_real))))
% 19.22/19.44  (assume a9828 (tptp.filterlim_real_real tptp.artanh_real tptp.at_bot_real (tptp.topolo2177554685111907308n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) (tptp.set_or5849166863359141190n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)))))
% 19.22/19.44  (assume a9829 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F3 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F3) G2) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))))))))))
% 19.22/19.44  (assume a9830 (forall ((F0 tptp.fun_real_real) (G0 tptp.fun_real_real) (G2 tptp.fun_real_real) (F3 tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.filterlim_real_real F0 (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.filterlim_real_real G0 (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G0) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F0) F3) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G0) G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) F4 (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F0) G0) F4 (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))))))))
% 19.22/19.44  (assume a9831 (forall ((F tptp.fun_real_real) (X tptp.real) (G tptp.fun_real_real) (G2 tptp.fun_real_real) (F3 tptp.fun_real_real) (F4 tptp.filter_real)) (=> (tptp.filterlim_real_real F (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.filterlim_real_real G (tptp.topolo2815343760600316023s_real tptp.zero_zero_real) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) F4 (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) F4 (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))))))))))))
% 19.22/19.44  (assume a9832 (forall ((F tptp.fun_real_real) (A tptp.real) (G tptp.fun_real_real) (F3 tptp.fun_real_real) (G2 tptp.fun_real_real)) (=> (tptp.filterlim_real_real F tptp.at_top_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real G tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F3) G2) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju F) G) tptp.at_bot_real (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))))))))))
% 19.22/19.44  (assume a9833 (forall ((G tptp.fun_real_real) (X tptp.real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F3 tptp.fun_real_real) (Y tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G) F) (tptp.topolo2815343760600316023s_real Y) (tptp.topolo2177554685111907308n_real X (tptp.set_or5849166863359141190n_real X))))))))))
% 19.22/19.44  (assume a9834 (forall ((G tptp.fun_real_real) (G2 tptp.fun_real_real) (F tptp.fun_real_real) (F3 tptp.fun_real_real) (X tptp.real)) (=> (tptp.filterlim_real_real G tptp.at_top_real (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aTP_Lamm_jw G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt F) F3) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.eventually_real (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt G) G2) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (=> (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G2) F3) (tptp.topolo2815343760600316023s_real X) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))) (tptp.filterlim_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx G) F) (tptp.topolo2815343760600316023s_real X) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))))))
% 19.22/19.44  (assume a9835 (= (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat tptp.zero_zero_nat) tptp.top_top_set_nat))
% 19.22/19.44  (assume a9836 (forall ((K tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat K))))
% 19.22/19.44  (assume a9837 (forall ((X5 tptp.fun_nat_real) (B3 tptp.real)) (=> (tptp.order_9091379641038594480t_real X5) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B3) (tptp.aa_nat_real X5 I3)))) (tptp.bfun_nat_real X5 tptp.at_top_nat)))))
% 19.22/19.44  (assume a9838 (= (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat tptp.zero_zero_nat) (tptp.image_nat_nat tptp.suc tptp.top_top_set_nat)))
% 19.22/19.44  (assume a9839 (forall ((K tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_or1210151606488870762an_nat K) (tptp.insert_nat (tptp.aa_nat_nat tptp.suc K) tptp.bot_bot_set_nat)))))
% 19.22/19.44  (assume a9840 (forall ((X5 tptp.fun_nat_real) (B3 tptp.real)) (=> (tptp.order_9091379641038594480t_real X5) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B3) (tptp.aa_nat_real X5 I3)))) (not (forall ((L6 tptp.real)) (=> (tptp.filterlim_nat_real X5 (tptp.topolo2815343760600316023s_real L6) tptp.at_top_nat) (not (forall ((I4 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real L6) (tptp.aa_nat_real X5 I4))))))))))))
% 19.22/19.44  (assume a9841 (forall ((K tptp.nat)) (= (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat (tptp.aa_nat_nat tptp.suc K)) (tptp.minus_minus_set_nat (tptp.aa_nat_set_nat tptp.set_ord_atLeast_nat K) (tptp.insert_nat K tptp.bot_bot_set_nat)))))
% 19.22/19.44  (assume a9842 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (G tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real) F))) (=> (forall ((X3 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2))) (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))) (=> (forall ((X3 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X3) B2))) (tptp.topolo4422821103128117721l_real (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real) G))) (=> (forall ((X3 tptp.real)) (=> (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2))) (tptp.differ6690327859849518006l_real G (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)))) (exists ((G_c tptp.real) (F_c tptp.real) (C3 tptp.real)) (and (tptp.has_fi5821293074295781190e_real G G_c (tptp.topolo2177554685111907308n_real C3 tptp.top_top_set_real)) (tptp.has_fi5821293074295781190e_real F F_c (tptp.topolo2177554685111907308n_real C3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) C3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real C3) B2)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A))) G_c) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real G B2)) (tptp.aa_real_real G A))) F_c)))))))))))
% 19.22/19.44  (assume a9843 (forall ((F tptp.fun_real_real) (X tptp.real) (S tptp.set_real)) (=> (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X S)) (not (forall ((Df tptp.real)) (not (tptp.has_fi5821293074295781190e_real F Df (tptp.topolo2177554685111907308n_real X S))))))))
% 19.22/19.44  (assume a9844 (forall ((F tptp.fun_real_real) (X tptp.real) (S tptp.set_real)) (= (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X S)) (exists ((D6 tptp.real)) (tptp.has_fi5821293074295781190e_real F D6 (tptp.topolo2177554685111907308n_real X S))))))
% 19.22/19.44  (assume a9845 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))) (exists ((L2 tptp.real) (Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) B2)) (tptp.has_fi5821293074295781190e_real F L2 (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)) L2)))))))))
% 19.22/19.44  (assume a9846 (forall ((X5 tptp.fun_nat_real)) (=> (tptp.summable_real X5) (=> (forall ((I3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real X5 I3)))) (= (tptp.suminf_real X5) (tptp.comple1385675409528146559p_real (tptp.image_nat_real (tptp.aTP_Lamm_ke X5) tptp.top_top_set_nat)))))))
% 19.22/19.44  (assume a9847 (forall ((A3 tptp.set_real)) (=> (tptp.ord_less_eq_set_real A3 (tptp.set_ord_atLeast_real tptp.one_one_real)) (tptp.topolo5044208981011980120l_real A3 tptp.arcosh_real))))
% 19.22/19.44  (assume a9848 (forall ((A3 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.topolo5044208981011980120l_real A3 F) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 A3) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.one_one_real) (tptp.aa_real_real F X3))))) (tptp.topolo5044208981011980120l_real A3 (tptp.aTP_Lamm_kf F))))))
% 19.22/19.44  (assume a9849 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) B2)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (exists ((C3 tptp.real) (D2 tptp.real)) (and (= (tptp.image_real_real F (tptp.set_or1222579329274155063t_real A B2)) (tptp.set_or1222579329274155063t_real C3 D2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real C3) D2))))))))
% 19.22/19.44  (assume a9850 (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real) tptp.arccos))
% 19.22/19.44  (assume a9851 (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real) tptp.arcsin))
% 19.22/19.44  (assume a9852 (forall ((A3 tptp.set_real)) (=> (tptp.ord_less_eq_set_real A3 (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real)) (tptp.topolo5044208981011980120l_real A3 tptp.artanh_real))))
% 19.22/19.44  (assume a9853 (forall ((A3 tptp.set_real) (F tptp.fun_real_real)) (=> (tptp.topolo5044208981011980120l_real A3 F) (=> (forall ((X3 tptp.real)) (=> (tptp.member_real X3 A3) (tptp.member_real (tptp.aa_real_real F X3) (tptp.set_or1633881224788618240n_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real) tptp.one_one_real)))) (tptp.topolo5044208981011980120l_real A3 (tptp.aTP_Lamm_kg F))))))
% 19.22/19.44  (assume a9854 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (F3 tptp.fun_re7681423839302404990l_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= (tptp.aa_real_real F A) (tptp.aa_real_real F B2)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (tptp.has_de1759254742604945161l_real F (tptp.aa_rea7340605660300375871l_real F3 X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) B2)) (forall ((X4 tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real F3 Z2) X4) tptp.zero_zero_real))))))))))
% 19.22/19.44  (assume a9855 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (F3 tptp.fun_re7681423839302404990l_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (tptp.has_de1759254742604945161l_real F (tptp.aa_rea7340605660300375871l_real F3 X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))) (not (forall ((Xi tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Xi)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Xi) B2)) (not (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real F3 Xi) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real B2) A)))))))))))))
% 19.22/19.44  (assume a9856 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) Y4))))))) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F A)) (tptp.aa_real_real F B2))))))))
% 19.22/19.44  (assume a9857 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (exists ((Y4 tptp.real)) (and (tptp.has_fi5821293074295781190e_real F Y4 (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Y4) tptp.zero_zero_real))))))) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real F B2)) (tptp.aa_real_real F A))))))))
% 19.22/19.44  (assume a9858 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))) (= (tptp.aa_real_real F B2) (tptp.aa_real_real F A)))))))
% 19.22/19.44  (assume a9859 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real) (X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real A) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) B2)) (= (tptp.aa_real_real F X) (tptp.aa_real_real F A)))))))))
% 19.22/19.44  (assume a9860 (forall ((A tptp.real) (B2 tptp.real) (F tptp.fun_real_real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) B2)) (=> (= (tptp.aa_real_real F A) (tptp.aa_real_real F B2)) (=> (tptp.topolo5044208981011980120l_real (tptp.set_or1222579329274155063t_real A B2) F) (=> (forall ((X3 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) X3)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X3) B2)) (tptp.differ6690327859849518006l_real F (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))))) (exists ((Z2 tptp.real)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real A) Z2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Z2) B2)) (tptp.has_fi5821293074295781190e_real F tptp.zero_zero_real (tptp.topolo2177554685111907308n_real Z2 tptp.top_top_set_real))))))))))
% 19.22/19.44  (assume a9861 (= (tptp.comple7399068483239264473et_nat (tptp.image_nat_set_nat tptp.set_ord_lessThan_nat tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 19.22/19.44  (assume a9862 (= (tptp.comple7399068483239264473et_nat (tptp.image_nat_set_nat tptp.set_ord_atMost_nat tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 19.22/19.44  (assume a9863 (= (tptp.comple7399068483239264473et_nat (tptp.image_nat_set_nat tptp.set_ord_atLeast_nat tptp.top_top_set_nat)) tptp.top_top_set_nat))
% 19.22/19.44  (assume a9864 (= (tptp.comple7806235888213564991et_nat (tptp.image_nat_set_nat tptp.set_or1210151606488870762an_nat tptp.top_top_set_nat)) tptp.bot_bot_set_nat))
% 19.22/19.44  (assume a9865 (forall ((X5 tptp.set_real)) (= (tptp.comple4887499456419720421f_real X5) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.comple1385675409528146559p_real (tptp.image_real_real tptp.uminus_uminus_real X5))))))
% 19.22/19.44  (assume a9866 (= tptp.inf_in1870772243966228564d_enat tptp.ord_mi8085742599997312461d_enat))
% 19.22/19.44  (assume a9867 (= tptp.inf_inf_nat tptp.ord_min_nat))
% 19.22/19.44  (assume a9868 (forall ((P2 tptp.rat) (Q2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat P2) Q2)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool (tptp.aTP_Lamm_ki Q2)) (tptp.quotient_of P2))))))
% 19.22/19.44  (assume a9869 (forall ((P2 tptp.rat) (Q2 tptp.rat)) (= (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat P2) Q2)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool (tptp.aTP_Lamm_kk Q2)) (tptp.quotient_of P2))))))
% 19.22/19.44  (assume a9870 (forall ((D tptp.int)) (= (tptp.int_ge_less_than2 D) (tptp.collec213857154873943460nt_int (tptp.produc8560705615207772305t_bool (tptp.aTP_Lamm_kl D))))))
% 19.22/19.44  (assume a9871 (forall ((D tptp.int)) (= (tptp.int_ge_less_than D) (tptp.collec213857154873943460nt_int (tptp.produc8560705615207772305t_bool (tptp.aTP_Lamm_km D))))))
% 19.22/19.44  (assume a9872 (= tptp.topolo1511823702728130853y_real (tptp.comple2936214249959783750l_real (tptp.image_2178119161166701260l_real tptp.aTP_Lamm_ko (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9873 (= tptp.topolo896644834953643431omplex (tptp.comple8358262395181532106omplex (tptp.image_5971271580939081552omplex tptp.aTP_Lamm_kq (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9874 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F X3)))) (=> (tptp.order_mono_nat_real F) (=> (tptp.order_5726023648592871131at_nat G) (= (tptp.bfun_nat_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_kr F) G) tptp.at_top_nat) (tptp.bfun_nat_real F tptp.at_top_nat)))))))
% 19.22/19.44  (assume a9875 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.inj_on_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_id N) tptp.top_top_set_real))))
% 19.22/19.44  (assume a9876 (forall ((F tptp.fun_nat_nat) (N tptp.nat)) (=> (tptp.order_5726023648592871131at_nat F) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat F N))))))
% 19.22/19.44  (assume a9877 (forall ((B2 tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.one_one_real) B2)) (tptp.inj_on_real_real (tptp.aa_rea7340605660300375871l_real tptp.log B2) (tptp.set_or5849166863359141190n_real tptp.zero_zero_real)))))
% 19.22/19.44  (assume a9878 (forall ((N2 tptp.set_nat)) (tptp.inj_on_nat_nat tptp.suc N2)))
% 19.22/19.44  (assume a9879 (forall ((N2 tptp.set_nat) (K tptp.nat)) (=> (forall ((N3 tptp.nat)) (=> (tptp.member_nat N3 N2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K) N3)))) (tptp.inj_on_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hc K) N2))))
% 19.22/19.44  (assume a9880 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (tptp.summable_real F) (=> (tptp.inj_on_nat_nat G tptp.top_top_set_nat) (=> (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F X3)))) (tptp.summable_real (tptp.comp_nat_real_nat F G)))))))
% 19.22/19.44  (assume a9881 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (tptp.summable_real F) (=> (tptp.inj_on_nat_nat G tptp.top_top_set_nat) (=> (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F X3)))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.suminf_real (tptp.comp_nat_real_nat F G))) (tptp.suminf_real F))))))))
% 19.22/19.44  (assume a9882 (forall ((X tptp.real) (N tptp.int)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (or (not (= X tptp.zero_zero_real)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) N))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real X) (tptp.aa_int_real tptp.ring_1_of_int_real N)) (tptp.aa_int_real (tptp.power_int_real X) N))))))
% 19.22/19.44  (assume a9883 (tptp.inj_on_nat_char tptp.unique3096191561947761185of_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat tptp.zero_zero_nat) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))
% 19.22/19.44  (assume a9884 (forall ((F tptp.fun_nat_real) (G tptp.fun_nat_nat)) (=> (tptp.summable_real F) (=> (tptp.inj_on_nat_nat G tptp.top_top_set_nat) (=> (forall ((X3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) (tptp.aa_nat_real F X3)))) (=> (forall ((X3 tptp.nat)) (=> (not (tptp.member_nat X3 (tptp.image_nat_nat G tptp.top_top_set_nat))) (= (tptp.aa_nat_real F X3) tptp.zero_zero_real))) (= (tptp.suminf_real (tptp.comp_nat_real_nat F G)) (tptp.suminf_real F))))))))
% 19.22/19.44  (assume a9885 (forall ((F tptp.fun_real_real) (F3 tptp.fun_real_real)) (=> (forall ((X3 tptp.real)) (tptp.has_fi5821293074295781190e_real F (tptp.aa_real_real F3 X3) (tptp.topolo2177554685111907308n_real X3 tptp.top_top_set_real))) (=> (forall ((X3 tptp.real)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real tptp.zero_zero_real) (tptp.aa_real_real F3 X3)))) (tptp.order_7092887310737990675l_real F)))))
% 19.22/19.44  (assume a9886 (= tptp.pred_nat (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool tptp.aTP_Lamm_ks))))
% 19.22/19.44  (assume a9887 (forall ((I tptp.nat) (J tptp.nat) (K tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat I) J)) (= (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)) (tptp.sup_sup_set_nat (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat I) J) (tptp.aa_nat_set_nat (tptp.set_or4665077453230672383an_nat J) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat J) K)))))))
% 19.22/19.44  (assume a9888 (= tptp.sup_su3973961784419623482d_enat tptp.ord_ma741700101516333627d_enat))
% 19.22/19.44  (assume a9889 (= tptp.sup_sup_nat tptp.ord_max_nat))
% 19.22/19.44  (assume a9890 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT (tptp.vEBT_Node X11 X12 X13 X14)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.size_list_VEBT_VEBT tptp.size_size_VEBT_VEBT X13)) (tptp.aa_VEBT_VEBT_nat tptp.size_size_VEBT_VEBT X14))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a9891 (forall ((X11 tptp.option4927543243414619207at_nat) (X12 tptp.nat) (X13 tptp.list_VEBT_VEBT) (X14 tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT (tptp.vEBT_Node X11 X12 X13 X14)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.size_list_VEBT_VEBT tptp.vEBT_size_VEBT X13)) (tptp.aa_VEBT_VEBT_nat tptp.vEBT_size_VEBT X14))) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a9892 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.tl_nat (tptp.upt M N)) (tptp.upt (tptp.aa_nat_nat tptp.suc M) N))))
% 19.22/19.44  (assume a9893 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (exists ((A6 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) A6)) (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X5 N3))) A6))))) (=> (tptp.pp (tptp.vanishes Y6)) (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kt X5) Y6)))))))
% 19.22/19.44  (assume a9894 (forall ((C tptp.rat)) (= (tptp.pp (tptp.vanishes (tptp.aTP_Lamm_ku C))) (= C tptp.zero_zero_rat))))
% 19.22/19.44  (assume a9895 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.pp (tptp.vanishes X5)) (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat tptp.aTP_Lamm_kv X5))))))
% 19.22/19.44  (assume a9896 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.pp (tptp.vanishes X5)) (=> (tptp.pp (tptp.vanishes Y6)) (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kw X5) Y6)))))))
% 19.22/19.44  (assume a9897 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.pp (tptp.vanishes X5)) (=> (tptp.pp (tptp.vanishes Y6)) (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx X5) Y6)))))))
% 19.22/19.44  (assume a9898 (forall ((X5 tptp.fun_nat_rat) (R2 tptp.rat)) (=> (tptp.pp (tptp.vanishes X5)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R2)) (exists ((K2 tptp.nat)) (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X5 N6))) R2)))))))))
% 19.22/19.44  (assume a9899 (forall ((X5 tptp.fun_nat_rat)) (=> (forall ((R3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R3)) (exists ((K4 tptp.nat)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X5 N3))) R3))))))) (tptp.pp (tptp.vanishes X5)))))
% 19.22/19.44  (assume a9900 (forall ((X5 tptp.fun_nat_rat)) (= (tptp.pp (tptp.vanishes X5)) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X5 N5))) R5))))))))))
% 19.22/19.44  (assume a9901 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.option_num)) (=> (= (tptp.bit_and_not_num X Xa) Y) (=> (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num X Xa)) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (=> (= Y tptp.none_num) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num tptp.one tptp.one)))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N3)))))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y tptp.none_num) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N3)))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (=> (= Xa tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) tptp.one))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M4 N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit0 N3))))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M4 N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit1 N3))))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (=> (= Xa tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) tptp.one))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_hg (tptp.bit_and_not_num M4 N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit0 N3))))))))) (not (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.bit_and_not_num M4 N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_and_not_num_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit1 N3))))))))))))))))))))))
% 19.22/19.44  (assume a9902 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.option_num)) (=> (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num X) Xa) Y) (=> (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num X Xa)) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num tptp.one tptp.one)))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y tptp.none_num) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N3)))))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N3)))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (=> (= Xa tptp.one) (=> (= Y tptp.none_num) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) tptp.one))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit0 N3))))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit1 N3))))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (=> (= Xa tptp.one) (=> (= Y (tptp.some_num tptp.one)) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) tptp.one))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit0 N3))))))))) (not (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.case_o6005452278849405969um_num (tptp.some_num tptp.one) tptp.aTP_Lamm_hg (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un7362597486090784418nd_num M4) N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un4731106466462545111um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit1 N3))))))))))))))))))))))
% 19.22/19.44  (assume a9903 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.option_num)) (=> (= (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num X) Xa) Y) (=> (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num X Xa)) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (=> (= Y tptp.none_num) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num tptp.one tptp.one)))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 N3)))))))) (=> (=> (= X tptp.one) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 N3)))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (=> (= Xa tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit1 M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) tptp.one))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit0 N3))))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3)))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 M4) (tptp.aa_num_num tptp.bit1 N3))))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (=> (= Xa tptp.one) (=> (= Y (tptp.some_num (tptp.aa_num_num tptp.bit0 M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) tptp.one))))))) (=> (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 N3)) (=> (= Y (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3)))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit0 N3))))))))) (not (forall ((M4 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 M4)) (forall ((N3 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 N3)) (=> (= Y (tptp.map_option_num_num tptp.bit0 (tptp.aa_num_option_num (tptp.aa_num6390622462783740633on_num tptp.bit_un2480387367778600638or_num M4) N3))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_un2901131394128224187um_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 M4) (tptp.aa_num_num tptp.bit1 N3))))))))))))))))))))))
% 19.22/19.44  (assume a9904 (forall ((X tptp.num) (Xa tptp.num) (Y tptp.num)) (=> (= (tptp.aa_num_num (tptp.bit_or_not_num_neg X) Xa) Y) (=> (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num X Xa)) (=> (=> (= X tptp.one) (=> (= Xa tptp.one) (=> (= Y tptp.one) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num tptp.one tptp.one)))))) (=> (=> (= X tptp.one) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 M4)) (=> (= Y (tptp.aa_num_num tptp.bit1 M4)) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit0 M4)))))))) (=> (=> (= X tptp.one) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 M4)) (=> (= Y (tptp.aa_num_num tptp.bit1 M4)) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num tptp.one (tptp.aa_num_num tptp.bit1 M4)))))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 N3)) (=> (= Xa tptp.one) (=> (= Y (tptp.aa_num_num tptp.bit0 tptp.one)) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 N3) tptp.one))))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 M4)) (=> (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 N3) (tptp.aa_num_num tptp.bit0 M4))))))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit0 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 M4)) (=> (= Y (tptp.aa_num_num tptp.bit0 (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit0 N3) (tptp.aa_num_num tptp.bit1 M4))))))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 N3)) (=> (= Xa tptp.one) (=> (= Y tptp.one) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 N3) tptp.one))))))) (=> (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit0 M4)) (=> (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 N3) (tptp.aa_num_num tptp.bit0 M4))))))))) (not (forall ((N3 tptp.num)) (=> (= X (tptp.aa_num_num tptp.bit1 N3)) (forall ((M4 tptp.num)) (=> (= Xa (tptp.aa_num_num tptp.bit1 M4)) (=> (= Y (tptp.aa_num_num tptp.bitM (tptp.aa_num_num (tptp.bit_or_not_num_neg N3) M4))) (not (tptp.accp_P3113834385874906142um_num tptp.bit_or3848514188828904588eg_rel (tptp.product_Pair_num_num (tptp.aa_num_num tptp.bit1 N3) (tptp.aa_num_num tptp.bit1 M4))))))))))))))))))))))
% 19.22/19.44  (assume a9905 (= tptp.bit_un2901131394128224187um_rel tptp.bit_un3595099601533988841um_rel))
% 19.22/19.44  (assume a9906 (= tptp.bit_un4731106466462545111um_rel tptp.bit_un5425074673868309765um_rel))
% 19.22/19.44  (assume a9907 (forall ((R2 tptp.real) (A tptp.real)) (= (tptp.aa_complex_complex tptp.invers8013647133539491842omplex (tptp.aa_real_complex (tptp.rcis R2) A)) (tptp.aa_real_complex (tptp.rcis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) R2)) (tptp.aa_real_real tptp.uminus_uminus_real A)))))
% 19.22/19.44  (assume a9908 (forall ((R2 tptp.real) (A tptp.real)) (= (tptp.aa_complex_real tptp.re (tptp.aa_real_complex (tptp.rcis R2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_real_real tptp.cos_real A)))))
% 19.22/19.44  (assume a9909 (forall ((R2 tptp.real) (A tptp.real)) (= (tptp.aa_complex_real tptp.im (tptp.aa_real_complex (tptp.rcis R2) A)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R2) (tptp.aa_real_real tptp.sin_real A)))))
% 19.22/19.44  (assume a9910 (forall ((A tptp.real)) (= (tptp.aa_real_complex tptp.cis A) (tptp.aa_real_complex (tptp.rcis tptp.one_one_real) A))))
% 19.22/19.44  (assume a9911 (forall ((R1 tptp.real) (A tptp.real) (R22 tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex (tptp.rcis R1) A)) (tptp.aa_real_complex (tptp.rcis R22) B2)) (tptp.aa_real_complex (tptp.rcis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real R1) R22)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real A) B2)))))
% 19.22/19.44  (assume a9912 (forall ((R1 tptp.real) (A tptp.real) (R22 tptp.real) (B2 tptp.real)) (= (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_real_complex (tptp.rcis R1) A)) (tptp.aa_real_complex (tptp.rcis R22) B2)) (tptp.aa_real_complex (tptp.rcis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real R1) R22)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) B2)))))
% 19.22/19.44  (assume a9913 (forall ((R2 tptp.real) (A tptp.real)) (= (tptp.aa_real_complex (tptp.rcis R2) A) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_real_complex tptp.real_V4546457046886955230omplex R2)) (tptp.aa_real_complex tptp.cis A)))))
% 19.22/19.44  (assume a9914 (forall ((R2 tptp.real) (A tptp.real) (N tptp.nat)) (= (tptp.aa_nat_complex (tptp.power_power_complex (tptp.aa_real_complex (tptp.rcis R2) A)) N) (tptp.aa_real_complex (tptp.rcis (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real R2) N)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N)) A)))))
% 19.22/19.44  (assume a9915 (forall ((K tptp.code_integer)) (and (=> (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K) tptp.zero_z3403309356797280102nteger)) (= (tptp.code_nat_of_integer K) tptp.zero_zero_nat)) (=> (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger K) tptp.zero_z3403309356797280102nteger))) (= (tptp.code_nat_of_integer K) (tptp.produc1555791787009142072er_nat tptp.aTP_Lamm_ky (tptp.code_divmod_integer K (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a9916 (forall ((K tptp.num)) (= (tptp.code_nat_of_integer (tptp.numera6620942414471956472nteger K)) (tptp.aa_num_nat tptp.numeral_numeral_nat K))))
% 19.22/19.44  (assume a9917 (= (tptp.code_nat_of_integer tptp.one_one_Code_integer) tptp.one_one_nat))
% 19.22/19.44  (assume a9918 (forall ((X5 tptp.fun_nat_rat)) (= (tptp.cauchy X5) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) M7)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat X5 M7)) (tptp.aa_nat_rat X5 N5)))) R5))))))))))))
% 19.22/19.44  (assume a9919 (forall ((X5 tptp.fun_nat_rat)) (=> (forall ((R3 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R3)) (exists ((K4 tptp.nat)) (forall ((M4 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) M4)) (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K4) N3)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat X5 M4)) (tptp.aa_nat_rat X5 N3)))) R3))))))))) (tptp.cauchy X5))))
% 19.22/19.44  (assume a9920 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (not (tptp.pp (tptp.vanishes X5))) (tptp.cauchy (tptp.aTP_Lamm_kz X5))))))
% 19.22/19.44  (assume a9921 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (tptp.cauchy (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx X5) Y6))))))
% 19.22/19.44  (assume a9922 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (tptp.cauchy (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kt X5) Y6))))))
% 19.22/19.44  (assume a9923 (forall ((X tptp.rat)) (tptp.cauchy (tptp.aTP_Lamm_ku X))))
% 19.22/19.44  (assume a9924 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (tptp.cauchy (tptp.aa_fun765758790203053448at_rat tptp.aTP_Lamm_kv X5)))))
% 19.22/19.44  (assume a9925 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (tptp.cauchy (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kw X5) Y6))))))
% 19.22/19.44  (assume a9926 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (exists ((B4 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B4)) (forall ((N6 tptp.nat)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X5 N6))) B4))))))))
% 19.22/19.44  (assume a9927 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (not (tptp.pp (tptp.vanishes X5))) (=> (tptp.cauchy Y6) (=> (not (tptp.pp (tptp.vanishes Y6))) (=> (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx X5) Y6))) (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_la X5) Y6))))))))))
% 19.22/19.44  (assume a9928 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (not (tptp.pp (tptp.vanishes X5))) (exists ((B4 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B4)) (exists ((K2 tptp.nat)) (or (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B4) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat X5 N6)))))) (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B4) (tptp.aa_nat_rat X5 N6)))))))))))))
% 19.22/19.44  (assume a9929 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (not (tptp.pp (tptp.vanishes X5))) (exists ((B4 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) B4)) (exists ((K2 tptp.nat)) (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat B4) (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_nat_rat X5 N6)))))))))))))
% 19.22/19.44  (assume a9930 (forall ((X5 tptp.fun_nat_rat) (R2 tptp.rat)) (=> (tptp.cauchy X5) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R2)) (exists ((K2 tptp.nat)) (forall ((M5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) M5)) (forall ((N6 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K2) N6)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat (tptp.aa_rat_rat tptp.abs_abs_rat (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat X5 M5)) (tptp.aa_nat_rat X5 N6)))) R2)))))))))))
% 19.22/19.44  (assume a9931 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) (tptp.aa_fun_nat_rat_real tptp.real2 Y6))) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X5 N5)) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat Y6 N5)) R5)))))))))))))
% 19.22/19.44  (assume a9932 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (and (=> (tptp.pp (tptp.vanishes X5)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) tptp.zero_zero_real)) (=> (not (tptp.pp (tptp.vanishes X5))) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aTP_Lamm_kz X5))))))))
% 19.22/19.44  (assume a9933 (forall ((P tptp.fun_real_bool) (X tptp.real)) (=> (forall ((X6 tptp.fun_nat_rat)) (=> (tptp.cauchy X6) (tptp.pp (tptp.aa_real_bool P (tptp.aa_fun_nat_rat_real tptp.real2 X6))))) (tptp.pp (tptp.aa_real_bool P X)))))
% 19.22/19.44  (assume a9934 (= tptp.one_one_real (tptp.aa_fun_nat_rat_real tptp.real2 tptp.aTP_Lamm_lb)))
% 19.22/19.44  (assume a9935 (forall ((X tptp.nat)) (= (tptp.aa_nat_real tptp.semiri5074537144036343181t_real X) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aTP_Lamm_lc X)))))
% 19.22/19.44  (assume a9936 (= tptp.zero_zero_real (tptp.aa_fun_nat_rat_real tptp.real2 tptp.aTP_Lamm_ld)))
% 19.22/19.44  (assume a9937 (forall ((X tptp.int)) (= (tptp.aa_int_real tptp.ring_1_of_int_real X) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aTP_Lamm_le X)))))
% 19.22/19.44  (assume a9938 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aa_fun765758790203053448at_rat tptp.aTP_Lamm_kv X5))))))
% 19.22/19.44  (assume a9939 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) (tptp.aa_fun_nat_rat_real tptp.real2 Y6)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kw X5) Y6)))))))
% 19.22/19.44  (assume a9940 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) (tptp.aa_fun_nat_rat_real tptp.real2 Y6)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kt X5) Y6)))))))
% 19.22/19.44  (assume a9941 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) (tptp.aa_fun_nat_rat_real tptp.real2 Y6)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx X5) Y6)))))))
% 19.22/19.44  (assume a9942 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (= (= (tptp.aa_fun_nat_rat_real tptp.real2 X5) (tptp.aa_fun_nat_rat_real tptp.real2 Y6)) (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx X5) Y6))))))))
% 19.22/19.44  (assume a9943 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (= (not (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_fun_nat_rat_real tptp.real2 X5)))) (forall ((R5 tptp.rat)) (=> (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_nat_rat X5 N5)) R5)))))))))))
% 19.22/19.44  (assume a9944 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (= (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_fun_nat_rat_real tptp.real2 X5))) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat X5 N5))))))))))))
% 19.22/19.44  (assume a9945 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool tptp.positive2 X)) (=> (tptp.pp (tptp.aa_real_bool tptp.positive2 Y)) (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real X) Y)))))))
% 19.22/19.44  (assume a9946 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool tptp.positive2 X)) (=> (tptp.pp (tptp.aa_real_bool tptp.positive2 Y)) (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real X) Y)))))))
% 19.22/19.44  (assume a9947 (not (tptp.pp (tptp.aa_real_bool tptp.positive2 tptp.zero_zero_real))))
% 19.22/19.44  (assume a9948 (forall ((X tptp.real)) (=> (not (tptp.pp (tptp.aa_real_bool tptp.positive2 X))) (=> (not (= X tptp.zero_zero_real)) (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_real_real tptp.uminus_uminus_real X)))))))
% 19.22/19.44  (assume a9949 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Y) X))))))
% 19.22/19.44  (assume a9950 (forall ((X tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.positive2 X)) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat (tptp.aa_real_fun_nat_rat tptp.rep_real X) N5)))))))))))
% 19.22/19.44  (assume a9951 (forall ((X tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X) X)) (= (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_fun_nat_rat_real tptp.real2 X)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.if_fun_nat_rat (tptp.vanishes X) tptp.aTP_Lamm_ld (tptp.aTP_Lamm_kz X)))))))
% 19.22/19.44  (assume a9952 (forall ((X5 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X5) X5)))))
% 19.22/19.44  (assume a9953 (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel tptp.aTP_Lamm_lb) tptp.aTP_Lamm_lb)))
% 19.22/19.44  (assume a9954 (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel tptp.aTP_Lamm_ld) tptp.aTP_Lamm_ld)))
% 19.22/19.44  (assume a9955 (forall ((P tptp.fun_real_bool) (X tptp.real)) (=> (forall ((Y3 tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel Y3) Y3)) (tptp.pp (tptp.aa_real_bool P (tptp.aa_fun_nat_rat_real tptp.real2 Y3))))) (tptp.pp (tptp.aa_real_bool P X)))))
% 19.22/19.44  (assume a9956 (forall ((X tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X) X)) (= (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_fun_nat_rat_real tptp.real2 X)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aa_fun765758790203053448at_rat tptp.aTP_Lamm_kv X))))))
% 19.22/19.44  (assume a9957 (forall ((Xa tptp.fun_nat_rat) (X tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel Xa) Xa)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.aa_fun_nat_rat_real tptp.real2 Xa)) (tptp.aa_fun_nat_rat_real tptp.real2 X)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kw Xa) X)))))))
% 19.22/19.44  (assume a9958 (forall ((Xa tptp.fun_nat_rat) (X tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel Xa) Xa)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X) X)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_fun_nat_rat_real tptp.real2 Xa)) (tptp.aa_fun_nat_rat_real tptp.real2 X)) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kt Xa) X)))))))
% 19.22/19.44  (assume a9959 (forall ((X5 tptp.fun_nat_rat) (Y6 tptp.fun_nat_rat)) (=> (tptp.cauchy X5) (=> (tptp.cauchy Y6) (=> (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx X5) Y6))) (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X5) Y6)))))))
% 19.22/19.44  (assume a9960 (forall ((X4 tptp.fun_nat_rat) (Xa2 tptp.fun_nat_rat)) (= (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X4) Xa2)) (and (tptp.cauchy X4) (tptp.cauchy Xa2) (tptp.pp (tptp.vanishes (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx X4) Xa2)))))))
% 19.22/19.44  (assume a9961 (forall ((X tptp.fun_nat_rat)) (=> (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X) X)) (= (tptp.pp (tptp.aa_real_bool tptp.positive2 (tptp.aa_fun_nat_rat_real tptp.real2 X))) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat X N5))))))))))))
% 19.22/19.44  (assume a9962 (= tptp.inverse_inverse_real (tptp.aa_fun8686829112900759002l_real (tptp.map_fu3926683916856352828t_real tptp.rep_real tptp.real2) tptp.aTP_Lamm_lf)))
% 19.22/19.44  (assume a9963 (forall ((X4 tptp.fun_nat_rat) (Xa2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun5258240734392065441l_bool tptp.cr_real X4) Xa2)) (and (tptp.pp (tptp.aa_fun_nat_rat_bool (tptp.aa_fun6650786570619099624t_bool tptp.realrel X4) X4)) (= (tptp.aa_fun_nat_rat_real tptp.real2 X4) Xa2)))))
% 19.22/19.44  (assume a9964 (= tptp.uminus_uminus_real (tptp.aa_fun8686829112900759002l_real (tptp.map_fu3926683916856352828t_real tptp.rep_real tptp.real2) tptp.aTP_Lamm_kv)))
% 19.22/19.44  (assume a9965 (= tptp.times_times_real (tptp.map_fu2502140041903272327l_real tptp.rep_real (tptp.map_fu3926683916856352828t_real tptp.rep_real tptp.real2) tptp.aTP_Lamm_kt)))
% 19.22/19.44  (assume a9966 (= tptp.plus_plus_real (tptp.map_fu2502140041903272327l_real tptp.rep_real (tptp.map_fu3926683916856352828t_real tptp.rep_real tptp.real2) tptp.aTP_Lamm_kw)))
% 19.22/19.44  (assume a9967 (tptp.bNF_re2717234250851183977l_bool tptp.realrel tptp.fequal_bool tptp.aTP_Lamm_lg tptp.aTP_Lamm_lg))
% 19.22/19.44  (assume a9968 (tptp.bNF_re769765379126235449at_rat tptp.realrel (tptp.bNF_re9178625837396562677at_rat tptp.realrel tptp.realrel) tptp.aTP_Lamm_kw tptp.aTP_Lamm_kw))
% 19.22/19.44  (assume a9969 (tptp.pp (tptp.aa_fun1696419067750587730t_bool (tptp.aa_fun4901480949278917796t_bool (tptp.bNF_re9178625837396562677at_rat tptp.realrel tptp.realrel) tptp.aTP_Lamm_kv) tptp.aTP_Lamm_kv)))
% 19.22/19.44  (assume a9970 (tptp.bNF_re769765379126235449at_rat tptp.realrel (tptp.bNF_re9178625837396562677at_rat tptp.realrel tptp.realrel) tptp.aTP_Lamm_kt tptp.aTP_Lamm_kt))
% 19.22/19.44  (assume a9971 (tptp.bNF_re6378542964492772123um_int tptp.fequal_num (tptp.bNF_re1822329894187522285nt_int tptp.fequal_num tptp.fequal_int) tptp.aTP_Lamm_lh tptp.aTP_Lamm_lh))
% 19.22/19.44  (assume a9972 (tptp.bNF_re5162689864697376059at_nat tptp.fequal_nat (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.times_times_nat tptp.times_times_nat))
% 19.22/19.44  (assume a9973 (tptp.bNF_re5717476210804479843nt_int tptp.fequal_int (tptp.bNF_re4712519889275205905nt_int tptp.fequal_int tptp.fequal_int) tptp.times_times_int tptp.times_times_int))
% 19.22/19.44  (assume a9974 (tptp.bNF_re5717476210804479843nt_int tptp.fequal_int (tptp.bNF_re4712519889275205905nt_int tptp.fequal_int tptp.fequal_int) tptp.minus_minus_int tptp.minus_minus_int))
% 19.22/19.44  (assume a9975 (tptp.bNF_re5162689864697376059at_nat tptp.fequal_nat (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.minus_minus_nat tptp.minus_minus_nat))
% 19.22/19.44  (assume a9976 (tptp.bNF_re5162689864697376059at_nat tptp.fequal_nat (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.divide_divide_nat tptp.divide_divide_nat))
% 19.22/19.44  (assume a9977 (tptp.bNF_re5717476210804479843nt_int tptp.fequal_int (tptp.bNF_re4712519889275205905nt_int tptp.fequal_int tptp.fequal_int) tptp.divide_divide_int tptp.divide_divide_int))
% 19.22/19.44  (assume a9978 (tptp.bNF_re5162689864697376059at_nat tptp.fequal_nat (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.modulo_modulo_nat tptp.modulo_modulo_nat))
% 19.22/19.44  (assume a9979 (tptp.bNF_re5717476210804479843nt_int tptp.fequal_int (tptp.bNF_re4712519889275205905nt_int tptp.fequal_int tptp.fequal_int) tptp.modulo_modulo_int tptp.modulo_modulo_int))
% 19.22/19.44  (assume a9980 (tptp.pp (tptp.aa_fun_nat_nat_bool (tptp.aa_fun3185460345579526648t_bool (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.suc) tptp.suc)))
% 19.22/19.44  (assume a9981 (tptp.pp (tptp.aa_fun_int_int_bool (tptp.aa_fun3770596143487498376t_bool (tptp.bNF_re4712519889275205905nt_int tptp.fequal_int tptp.fequal_int) tptp.aTP_Lamm_li) tptp.aTP_Lamm_li)))
% 19.22/19.44  (assume a9982 (tptp.bNF_re5162689864697376059at_nat tptp.fequal_nat (tptp.bNF_re5653821019739307937at_nat tptp.fequal_nat tptp.fequal_nat) tptp.plus_plus_nat tptp.plus_plus_nat))
% 19.22/19.44  (assume a9983 (tptp.bNF_re5717476210804479843nt_int tptp.fequal_int (tptp.bNF_re4712519889275205905nt_int tptp.fequal_int tptp.fequal_int) tptp.plus_plus_int tptp.plus_plus_int))
% 19.22/19.44  (assume a9984 (tptp.bNF_re5780769757191362231t_bool tptp.fequal_int (tptp.bNF_re9007465950226028919l_bool tptp.fequal_int tptp.fequal_bool) tptp.ord_less_int tptp.ord_less_int))
% 19.22/19.44  (assume a9985 (tptp.bNF_re1480548845665215743t_bool tptp.fequal_nat (tptp.bNF_re6223507645442431167l_bool tptp.fequal_nat tptp.fequal_bool) tptp.ord_less_nat tptp.ord_less_nat))
% 19.22/19.44  (assume a9986 (tptp.bNF_re1480548845665215743t_bool tptp.fequal_nat (tptp.bNF_re6223507645442431167l_bool tptp.fequal_nat tptp.fequal_bool) tptp.ord_less_eq_nat tptp.ord_less_eq_nat))
% 19.22/19.44  (assume a9987 (forall ((S2 tptp.set_nat) (N tptp.nat)) (=> (not (tptp.finite_finite_nat S2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.infini8530281810654367211te_nat S2) N))))))
% 19.22/19.44  (assume a9988 (tptp.pp (tptp.aa_fun1696419067750587730t_bool (tptp.aa_fun4901480949278917796t_bool (tptp.bNF_re9178625837396562677at_rat tptp.realrel tptp.realrel) tptp.aTP_Lamm_lf) tptp.aTP_Lamm_lf)))
% 19.22/19.44  (assume a9989 (forall ((S2 tptp.set_nat) (N tptp.nat)) (=> (tptp.finite_finite_nat S2) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat N) (tptp.finite_card_nat S2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N) (tptp.aa_nat_nat (tptp.infini8530281810654367211te_nat S2) N)))))))
% 19.22/19.44  (assume a9990 (tptp.pp (tptp.aa_fun3352386287069783311l_bool (tptp.aa_fun7221085148252759141l_bool (tptp.bNF_re1458715823057739248l_bool tptp.pcr_real tptp.fequal_bool) tptp.aTP_Lamm_lg) tptp.positive2)))
% 19.22/19.44  (assume a9991 (tptp.bNF_re6323452265856231590at_rat tptp.pcr_rat (tptp.bNF_re8279943556446156061nt_rat tptp.pcr_rat tptp.pcr_rat) tptp.aTP_Lamm_lj tptp.plus_plus_rat))
% 19.22/19.44  (assume a9992 (tptp.bNF_re8935275315890131625l_bool tptp.pcr_real (tptp.bNF_re1458715823057739248l_bool tptp.pcr_real tptp.fequal_bool) tptp.realrel tptp.fequal_real))
% 19.22/19.44  (assume a9993 (= tptp.pcr_real tptp.cr_real))
% 19.22/19.44  (assume a9994 (tptp.pp (tptp.aa_real_bool (tptp.aa_fun5258240734392065441l_bool tptp.pcr_real tptp.aTP_Lamm_ld) tptp.zero_zero_real)))
% 19.22/19.44  (assume a9995 (tptp.pp (tptp.aa_real_bool (tptp.aa_fun5258240734392065441l_bool tptp.pcr_real tptp.aTP_Lamm_lb) tptp.one_one_real)))
% 19.22/19.44  (assume a9996 (forall ((X4 tptp.fun_nat_rat) (Xa2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun5258240734392065441l_bool tptp.pcr_real X4) Xa2)) (and (tptp.cauchy X4) (= (tptp.aa_fun_nat_rat_real tptp.real2 X4) Xa2)))))
% 19.22/19.44  (assume a9997 (tptp.pp (tptp.aa_fun9137951878280015556l_bool (tptp.aa_fun9159459243913713430l_bool (tptp.bNF_re237660433471117187t_real tptp.pcr_real tptp.pcr_real) tptp.aTP_Lamm_kv) tptp.uminus_uminus_real)))
% 19.22/19.44  (assume a9998 (tptp.bNF_re1162444993429354318l_real tptp.pcr_real (tptp.bNF_re237660433471117187t_real tptp.pcr_real tptp.pcr_real) tptp.aTP_Lamm_kw tptp.plus_plus_real))
% 19.22/19.44  (assume a9999 (tptp.bNF_re1162444993429354318l_real tptp.pcr_real (tptp.bNF_re237660433471117187t_real tptp.pcr_real tptp.pcr_real) tptp.aTP_Lamm_kt tptp.times_times_real))
% 19.22/19.44  (assume a10000 (tptp.pp (tptp.aa_fun9137951878280015556l_bool (tptp.aa_fun9159459243913713430l_bool (tptp.bNF_re237660433471117187t_real tptp.pcr_real tptp.pcr_real) tptp.aTP_Lamm_lf) tptp.inverse_inverse_real)))
% 19.22/19.44  (assume a10001 (tptp.bNF_re6323452265856231590at_rat tptp.pcr_rat (tptp.bNF_re8279943556446156061nt_rat tptp.pcr_rat tptp.pcr_rat) tptp.aTP_Lamm_lk tptp.times_times_rat))
% 19.22/19.44  (assume a10002 (tptp.bNF_re3535474257078034868l_bool tptp.pcr_rat tptp.fequal_bool tptp.aTP_Lamm_ll tptp.positive))
% 19.22/19.44  (assume a10003 (tptp.bNF_re8869769828555196650nt_int tptp.pcr_int (tptp.bNF_re7400052026677387805at_int tptp.pcr_int tptp.pcr_int) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gr) tptp.times_times_int))
% 19.22/19.44  (assume a10004 (forall ((P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat)) (= (tptp.ord_Least_nat P) tptp.zero_zero_nat))))
% 19.22/19.44  (assume a10005 (forall ((P tptp.fun_nat_bool) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (= (tptp.ord_Least_nat P) (tptp.aa_nat_nat tptp.suc (tptp.ord_Least_nat (tptp.aTP_Lamm_jr P))))))))
% 19.22/19.44  (assume a10006 (forall ((P tptp.fun_nat_bool) (N tptp.nat) (Q tptp.fun_nat_bool) (M tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool P N)) (=> (tptp.pp (tptp.aa_nat_bool Q M)) (=> (not (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (forall ((K2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc K2))) (tptp.pp (tptp.aa_nat_bool Q K2)))) (= (tptp.ord_Least_nat P) (tptp.aa_nat_nat tptp.suc (tptp.ord_Least_nat Q)))))))))
% 19.22/19.44  (assume a10007 (forall ((X5 tptp.set_real)) (= (tptp.comple1385675409528146559p_real X5) (tptp.ord_Least_real (tptp.aTP_Lamm_lm X5)))))
% 19.22/19.44  (assume a10008 (tptp.bNF_re4555766996558763186at_nat tptp.pcr_int tptp.fequal_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) tptp.nat2))
% 19.22/19.44  (assume a10009 (tptp.pp (tptp.aa_int_bool (tptp.aa_Pro2928840338864870335t_bool tptp.pcr_int (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat)) tptp.one_one_int)))
% 19.22/19.44  (assume a10010 (tptp.bNF_re2632563231991741785t_bool tptp.pcr_int (tptp.bNF_re1498568104593929552l_bool tptp.pcr_int tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gt) tptp.ord_less_int))
% 19.22/19.44  (assume a10011 (tptp.bNF_re2632563231991741785t_bool tptp.pcr_int (tptp.bNF_re1498568104593929552l_bool tptp.pcr_int tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gv) tptp.ord_less_eq_int))
% 19.22/19.44  (assume a10012 (tptp.bNF_re8869769828555196650nt_int tptp.pcr_int (tptp.bNF_re7400052026677387805at_int tptp.pcr_int tptp.pcr_int) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gx) tptp.plus_plus_int))
% 19.22/19.44  (assume a10013 (tptp.bNF_re8869769828555196650nt_int tptp.pcr_int (tptp.bNF_re7400052026677387805at_int tptp.pcr_int tptp.pcr_int) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gz) tptp.minus_minus_int))
% 19.22/19.44  (assume a10014 (forall ((X tptp.rat)) (= (tptp.aa_rat_real tptp.field_7254667332652039916t_real X) (tptp.aa_fun_nat_rat_real tptp.real2 (tptp.aTP_Lamm_ku X)))))
% 19.22/19.44  (assume a10015 (forall ((X tptp.real) (Y tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) Y)) (exists ((Q3 tptp.rat)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_rat_real tptp.field_7254667332652039916t_real Q3))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_rat_real tptp.field_7254667332652039916t_real Q3)) Y)))))))
% 19.22/19.44  (assume a10016 (forall ((Y6 tptp.fun_nat_rat) (X tptp.real)) (=> (tptp.cauchy Y6) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_fun_nat_rat_real tptp.real2 Y6))) (exists ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real X) (tptp.aa_rat_real tptp.field_7254667332652039916t_real (tptp.aa_nat_rat Y6 N3)))))))))
% 19.22/19.44  (assume a10017 (forall ((Y6 tptp.fun_nat_rat) (X tptp.real)) (=> (tptp.cauchy Y6) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_rat_real tptp.field_7254667332652039916t_real (tptp.aa_nat_rat Y6 N3))))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) (tptp.aa_fun_nat_rat_real tptp.real2 Y6)))))))
% 19.22/19.44  (assume a10018 (forall ((X5 tptp.fun_nat_rat) (Y tptp.real)) (=> (tptp.cauchy X5) (=> (forall ((N3 tptp.nat)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_rat_real tptp.field_7254667332652039916t_real (tptp.aa_nat_rat X5 N3))) Y))) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_fun_nat_rat_real tptp.real2 X5)) Y))))))
% 19.22/19.44  (assume a10019 (tptp.bNF_re6214786843070381989at_nat tptp.intrel (tptp.bNF_re2241393799969408733at_nat tptp.intrel tptp.intrel) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gr) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gr)))
% 19.22/19.44  (assume a10020 (forall ((X tptp.nat) (Y tptp.nat) (U tptp.nat) (V tptp.nat)) (= (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.intrel (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Y)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat U) V))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X) V) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat U) Y)))))
% 19.22/19.44  (assume a10021 (tptp.bNF_re8246922863344978751at_nat tptp.intrel tptp.fequal_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat) (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat)))
% 19.22/19.44  (assume a10022 (tptp.pp (tptp.aa_Pro2232559814647311250t_bool (tptp.aa_Pro595088089689268830t_bool tptp.intrel (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat)) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat tptp.one_one_nat) tptp.zero_zero_nat))))
% 19.22/19.44  (assume a10023 (= tptp.intrel (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_lo)))
% 19.22/19.44  (assume a10024 (tptp.bNF_re2219331435504962769t_bool tptp.intrel (tptp.bNF_re3189209160384574813l_bool tptp.intrel tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gt) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gt)))
% 19.22/19.44  (assume a10025 (tptp.bNF_re2219331435504962769t_bool tptp.intrel (tptp.bNF_re3189209160384574813l_bool tptp.intrel tptp.fequal_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gv) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gv)))
% 19.22/19.44  (assume a10026 (tptp.bNF_re6214786843070381989at_nat tptp.intrel (tptp.bNF_re2241393799969408733at_nat tptp.intrel tptp.intrel) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gx) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gx)))
% 19.22/19.44  (assume a10027 (tptp.bNF_re6214786843070381989at_nat tptp.intrel (tptp.bNF_re2241393799969408733at_nat tptp.intrel tptp.intrel) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gz) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gz)))
% 19.22/19.44  (assume a10028 (forall ((Net tptp.filter_real)) (tptp.has_ve631408500373753343e_real tptp.aTP_Lamm_az tptp.one_one_real Net)))
% 19.22/19.44  (assume a10029 (forall ((F tptp.fun_real_real) (Y tptp.real) (F4 tptp.filter_real)) (= (tptp.has_fi5821293074295781190e_real F Y F4) (tptp.has_ve631408500373753343e_real F Y F4))))
% 19.22/19.44  (assume a10030 (tptp.bNF_re4734134812813710757nt_int tptp.ratrel (tptp.bNF_re7145576690424134365nt_int tptp.ratrel tptp.ratrel) tptp.aTP_Lamm_lj tptp.aTP_Lamm_lj))
% 19.22/19.44  (assume a10031 (forall ((X tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X) Y)) (and (not (= (tptp.product_snd_int_int X) tptp.zero_zero_int)) (not (= (tptp.product_snd_int_int Y) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int X)) (tptp.product_snd_int_int Y)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Y)) (tptp.product_snd_int_int X)))))))
% 19.22/19.44  (assume a10032 (forall ((X4 tptp.product_prod_int_int) (Xa2 tptp.product_prod_int_int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X4) Xa2)) (and (not (= (tptp.product_snd_int_int X4) tptp.zero_zero_int)) (not (= (tptp.product_snd_int_int Xa2) tptp.zero_zero_int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int X4)) (tptp.product_snd_int_int Xa2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Xa2)) (tptp.product_snd_int_int X4)))))))
% 19.22/19.44  (assume a10033 (tptp.bNF_re4734134812813710757nt_int tptp.ratrel (tptp.bNF_re7145576690424134365nt_int tptp.ratrel tptp.ratrel) tptp.aTP_Lamm_lk tptp.aTP_Lamm_lk))
% 19.22/19.44  (assume a10034 (tptp.bNF_re1394333895916556125l_bool tptp.ratrel tptp.fequal_bool tptp.aTP_Lamm_ll tptp.aTP_Lamm_ll))
% 19.22/19.44  (assume a10035 (forall ((Xa tptp.product_prod_int_int) (X tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel Xa) Xa)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X) X)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat Xa)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat X)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Xa)) (tptp.product_snd_int_int X))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int X)) (tptp.product_snd_int_int Xa))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Xa)) (tptp.product_snd_int_int X)))))))))
% 19.22/19.44  (assume a10036 (forall ((X tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X) X)) (= (tptp.pp (tptp.aa_rat_bool tptp.positive (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat X))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int X)) (tptp.product_snd_int_int X))))))))
% 19.22/19.44  (assume a10037 (forall ((Xa tptp.product_prod_int_int) (X tptp.product_prod_int_int)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel Xa) Xa)) (=> (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aa_Pro1534211998248933470t_bool tptp.ratrel X) X)) (= (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat Xa)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat X)) (tptp.aa_Pro6166618844887768661nt_rat tptp.abs_Rat (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Xa)) (tptp.product_fst_int_int X)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Xa)) (tptp.product_snd_int_int X)))))))))
% 19.22/19.44  (assume a10038 (forall ((I tptp.nat) (J tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I) J)) (= (tptp.last_nat (tptp.upt I J)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat J) tptp.one_one_nat)))))
% 19.22/19.44  (assume a10039 (forall ((F tptp.fun_nat_real) (M6 tptp.nat)) (=> (tptp.bfun_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_du F) M6) tptp.at_top_nat) (=> (forall ((M4 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) M4)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M4) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F N3)) (tptp.aa_nat_real F M4)))))) (tptp.topolo7531315842566124627t_real F)))))
% 19.22/19.44  (assume a10040 (forall ((F tptp.fun_nat_real) (M6 tptp.nat)) (=> (tptp.bfun_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_du F) M6) tptp.at_top_nat) (=> (forall ((M4 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M6) M4)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M4) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real F M4)) (tptp.aa_nat_real F N3)))))) (tptp.topolo7531315842566124627t_real F)))))
% 19.22/19.44  (assume a10041 (forall ((X5 tptp.fun_nat_real)) (=> (tptp.bfun_nat_real X5 tptp.at_top_nat) (=> (forall ((M4 tptp.nat) (N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M4) N3)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_nat_real X5 M4)) (tptp.aa_nat_real X5 N3))))) (tptp.topolo7531315842566124627t_real X5)))))
% 19.22/19.44  (assume a10042 (forall ((X tptp.real)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) X)) (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X) tptp.one_one_real)) (tptp.topolo7531315842566124627t_real (tptp.aa_real_fun_nat_real tptp.power_power_real X))))))
% 19.22/19.44  (assume a10043 (forall ((D tptp.real) (A tptp.real)) (= (tptp.filtermap_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_lp D) (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A))) (tptp.topolo2177554685111907308n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) D) (tptp.set_or5849166863359141190n_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real A) D))))))
% 19.22/19.44  (assume a10044 (forall ((A tptp.real)) (= (tptp.topolo2177554685111907308n_real A (tptp.set_or5849166863359141190n_real A)) (tptp.filtermap_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_lq A) (tptp.topolo2177554685111907308n_real tptp.zero_zero_real (tptp.set_or5849166863359141190n_real tptp.zero_zero_real))))))
% 19.22/19.44  (assume a10045 (forall ((A tptp.nat) (B2 tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat S) T)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B2) T)) tptp.fun_pair_less)))))
% 19.22/19.44  (assume a10046 (forall ((X tptp.nat) (Y tptp.nat) (Z tptp.nat)) (= (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Y) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Z)) tptp.fun_pair_less) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Y) Z)))))
% 19.22/19.44  (assume a10047 (forall ((A tptp.nat) (B2 tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B2) T)) tptp.fun_pair_less))))
% 19.22/19.44  (assume a10048 (forall ((A tptp.nat) (B2 tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat S) T)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B2) T)) tptp.fun_pair_leq)))))
% 19.22/19.44  (assume a10049 (forall ((A tptp.nat) (B2 tptp.nat) (S tptp.nat) (T tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat A) B2)) (tptp.member8206827879206165904at_nat (tptp.produc6161850002892822231at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat A) S) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat B2) T)) tptp.fun_pair_leq))))
% 19.22/19.44  (assume a10050 (tptp.pp (tptp.aa_nat_bool (tptp.ordering_top_nat tptp.aTP_Lamm_eh tptp.aTP_Lamm_ei) tptp.zero_zero_nat)))
% 19.22/19.44  (assume a10051 (forall ((A3 tptp.set_nat)) (= (tptp.aa_set_nat_nat tptp.nat_set_encode (tptp.vimage_nat_nat tptp.suc A3)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_set_nat_nat tptp.nat_set_encode A3)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a10052 (= tptp.euclid4774559944035922753ze_int (tptp.comp_int_nat_int tptp.nat2 tptp.abs_abs_int)))
% 19.22/19.44  (assume a10053 (forall ((F4 tptp.set_nat)) (= (tptp.finite_finite_nat (tptp.vimage_nat_nat tptp.suc F4)) (tptp.finite_finite_nat F4))))
% 19.22/19.44  (assume a10054 (forall ((N tptp.nat) (A3 tptp.set_nat)) (= (tptp.vimage_nat_nat tptp.suc (tptp.insert_nat (tptp.aa_nat_nat tptp.suc N) A3)) (tptp.insert_nat N (tptp.vimage_nat_nat tptp.suc A3)))))
% 19.22/19.44  (assume a10055 (forall ((A3 tptp.set_nat)) (= (tptp.vimage_nat_nat tptp.suc (tptp.insert_nat tptp.zero_zero_nat A3)) (tptp.vimage_nat_nat tptp.suc A3))))
% 19.22/19.44  (assume a10056 (forall ((X tptp.nat)) (= (tptp.aa_nat_set_nat tptp.nat_set_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat X) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.vimage_nat_nat tptp.suc (tptp.aa_nat_set_nat tptp.nat_set_decode X)))))
% 19.22/19.44  (assume a10057 (forall ((K tptp.int)) (= (tptp.aa_int_int tptp.abs_abs_int (tptp.aa_int_int tptp.euclid3395696857347342551nt_int K)) tptp.one_one_int)))
% 19.22/19.44  (assume a10058 (forall ((N tptp.nat)) (= (tptp.aa_nat_nat tptp.euclid3398187327856392827nt_nat N) tptp.one_one_nat)))
% 19.22/19.44  (assume a10059 (forall ((K tptp.int)) (=> (not (= K tptp.zero_zero_int)) (= (tptp.aa_int_int tptp.euclid3395696857347342551nt_int K) (tptp.aa_int_int tptp.sgn_sgn_int K)))))
% 19.22/19.44  (assume a10060 (forall ((K tptp.int)) (and (=> (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K)) (= (tptp.aa_int_int tptp.euclid3395696857347342551nt_int K) tptp.one_one_int)) (=> (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int tptp.zero_zero_int) K))) (= (tptp.aa_int_int tptp.euclid3395696857347342551nt_int K) (tptp.aa_int_int tptp.uminus_uminus_int tptp.one_one_int))))))
% 19.22/19.44  (assume a10061 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat M) N)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.extend8126323780198025762t_bool (tptp.aTP_Lamm_lr M) tptp.fTrue) N)))))
% 19.22/19.44  (assume a10062 (tptp.transp_fun_nat_rat tptp.realrel))
% 19.22/19.44  (assume a10063 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat M) N)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.extend8126323780198025762t_bool (tptp.aTP_Lamm_ls N) tptp.fFalse) M)))))
% 19.22/19.44  (assume a10064 (forall ((Qr tptp.product_prod_int_int)) (= (tptp.adjust_div Qr) (tptp.produc8211389475949308722nt_int tptp.aTP_Lamm_lt Qr))))
% 19.22/19.44  (assume a10065 (forall ((P2 tptp.rat)) (= (tptp.aa_rat_int tptp.archim3151403230148437115or_rat P2) (tptp.produc8211389475949308722nt_int tptp.divide_divide_int (tptp.quotient_of P2)))))
% 19.22/19.44  (assume a10066 (forall ((K tptp.nat) (M tptp.nat)) (= (tptp.nat_prod_decode (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle K)) M)) (tptp.nat_prod_decode_aux K M))))
% 19.22/19.44  (assume a10067 (forall ((A0 tptp.nat) (P tptp.fun_nat_bool)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) A0)) (=> (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) tptp.zero_zero_nat)) (tptp.pp (tptp.aa_nat_bool P tptp.zero_zero_nat))) (=> (forall ((N3 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) (tptp.aa_nat_nat tptp.suc N3))) (=> (forall ((X4 tptp.nat) (Y4 tptp.nat)) (=> (= (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X4) Y4) (tptp.nat_prod_decode N3)) (tptp.pp (tptp.aa_nat_bool P Y4)))) (tptp.pp (tptp.aa_nat_bool P (tptp.aa_nat_nat tptp.suc N3)))))) (tptp.pp (tptp.aa_nat_bool P A0)))))))
% 19.22/19.44  (assume a10068 (forall ((X tptp.nat) (Y tptp.list_nat)) (=> (= (tptp.nat_list_decode X) Y) (=> (=> (= X tptp.zero_zero_nat) (not (= Y tptp.nil_nat))) (not (forall ((N3 tptp.nat)) (=> (= X (tptp.aa_nat_nat tptp.suc N3)) (not (= Y (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_lu (tptp.nat_prod_decode N3)))))))))))
% 19.22/19.44  (assume a10069 (forall ((N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) (tptp.aa_nat_nat tptp.suc N))) (= (tptp.nat_list_decode (tptp.aa_nat_nat tptp.suc N)) (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_lu (tptp.nat_prod_decode N))))))
% 19.22/19.44  (assume a10070 (forall ((N tptp.nat)) (= (tptp.nat_list_decode (tptp.aa_nat_nat tptp.suc N)) (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_lu (tptp.nat_prod_decode N)))))
% 19.22/19.44  (assume a10071 (forall ((X tptp.nat) (Y tptp.list_nat)) (=> (= (tptp.nat_list_decode X) Y) (=> (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) X)) (=> (=> (= X tptp.zero_zero_nat) (=> (= Y tptp.nil_nat) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) tptp.zero_zero_nat))))) (not (forall ((N3 tptp.nat)) (=> (= X (tptp.aa_nat_nat tptp.suc N3)) (=> (= Y (tptp.produc2761476792215241774st_nat tptp.aTP_Lamm_lu (tptp.nat_prod_decode N3))) (not (tptp.pp (tptp.aa_nat_bool (tptp.accp_nat tptp.nat_list_decode_rel) (tptp.aa_nat_nat tptp.suc N3)))))))))))))
% 19.22/19.44  (assume a10072 (forall ((B2 tptp.real) (I tptp.real)) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real2 B2) I) (tptp.abort_real (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.zero_zero_literal))))))))))))))))))))))))))))))) (tptp.aa_rea7683167438103758690t_real (tptp.aTP_Lamm_lv B2) I)))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real B2) tptp.zero_zero_real))) (and (=> (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real I)) I) (and (=> (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) I)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real2 B2) I) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real I))))) (=> (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) I))) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real2 B2) I) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real B2) (tptp.aa_int_nat tptp.nat2 (tptp.aa_real_int tptp.archim6058952711729229775r_real (tptp.aa_real_real tptp.uminus_uminus_real I))))))))) (=> (not (= (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_real_int tptp.archim6058952711729229775r_real I)) I)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real2 B2) I) (tptp.abort_real (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fTrue tptp.fFalse tptp.fTrue tptp.fFalse tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue (tptp.literal2 tptp.fFalse tptp.fFalse tptp.fTrue tptp.fFalse tptp.fTrue tptp.fTrue tptp.fTrue tptp.zero_zero_literal))))))))))))))))))))))))))))))))))) (tptp.aa_rea7683167438103758690t_real (tptp.aTP_Lamm_lv B2) I)))))))))
% 19.22/19.44  (assume a10073 (forall ((M tptp.nat)) (= (tptp.collec3392354462482085612at_nat (tptp.produc8955392012077580105t_bool (tptp.aTP_Lamm_lw M))) (tptp.produc457027306803732586at_nat (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat M) (tptp.aTP_Lamm_lx M)))))
% 19.22/19.44  (assume a10074 (forall ((A3 tptp.set_nat) (M tptp.nat)) (= (tptp.produc457027306803732586at_nat A3 (tptp.aTP_Lamm_ly M)) (tptp.sup_su6327502436637775413at_nat (tptp.produc457027306803732586at_nat A3 (tptp.aTP_Lamm_lx M)) (tptp.produc457027306803732586at_nat A3 (tptp.aTP_Lamm_lz M))))))
% 19.22/19.44  (assume a10075 (= tptp.semiri1316708129612266289at_nat tptp.id_nat))
% 19.22/19.44  (assume a10076 (= tptp.positive2 (tptp.map_fu1722713901878115497l_bool tptp.rep_real tptp.id_bool tptp.aTP_Lamm_lg)))
% 19.22/19.44  (assume a10077 (= tptp.euclid4777050414544973029ze_nat tptp.id_nat))
% 19.22/19.44  (assume a10078 (= tptp.times_times_rat (tptp.map_fu5968964422797239547at_rat tptp.rep_Rat (tptp.map_fu5673905371560938248nt_rat tptp.rep_Rat tptp.abs_Rat) tptp.aTP_Lamm_lk)))
% 19.22/19.44  (assume a10079 (= tptp.plus_plus_rat (tptp.map_fu5968964422797239547at_rat tptp.rep_Rat (tptp.map_fu5673905371560938248nt_rat tptp.rep_Rat tptp.abs_Rat) tptp.aTP_Lamm_lj)))
% 19.22/19.44  (assume a10080 (= tptp.positive (tptp.map_fu5118516228767806217l_bool tptp.rep_Rat tptp.id_bool tptp.aTP_Lamm_ll)))
% 19.22/19.44  (assume a10081 (= tptp.nat2 (tptp.map_fu2345160673673942751at_nat tptp.rep_Integ tptp.id_nat (tptp.produc6842872674320459806at_nat tptp.minus_minus_nat))))
% 19.22/19.44  (assume a10082 (= tptp.ord_less_int (tptp.map_fu2743658913401090412t_bool tptp.rep_Integ (tptp.map_fu6608131713810608381l_bool tptp.rep_Integ tptp.id_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gt))))
% 19.22/19.44  (assume a10083 (= tptp.ord_less_eq_int (tptp.map_fu2743658913401090412t_bool tptp.rep_Integ (tptp.map_fu6608131713810608381l_bool tptp.rep_Integ tptp.id_bool) (tptp.produc5023667602222594023t_bool tptp.aTP_Lamm_gv))))
% 19.22/19.44  (assume a10084 (= tptp.plus_plus_int (tptp.map_fu8294830438409148311nt_int tptp.rep_Integ (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gx))))
% 19.22/19.44  (assume a10085 (= tptp.minus_minus_int (tptp.map_fu8294830438409148311nt_int tptp.rep_Integ (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gz))))
% 19.22/19.44  (assume a10086 (= tptp.times_times_int (tptp.map_fu8294830438409148311nt_int tptp.rep_Integ (tptp.map_fu3667384564859982768at_int tptp.rep_Integ tptp.abs_Integ) (tptp.produc4528391901023682385at_nat tptp.aTP_Lamm_gr))))
% 19.22/19.44  (assume a10087 (forall ((P tptp.fun_Pr7757163693017731481t_bool)) (= (tptp.eventu1038000079068216329at_nat P (tptp.prod_filter_nat_nat tptp.at_top_nat tptp.at_top_nat)) (exists ((N8 tptp.nat)) (forall ((M7 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N8) M7)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat N8) N5)) (tptp.pp (tptp.aa_Pro2232559814647311250t_bool P (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat N5) M7)))))))))))
% 19.22/19.44  (assume a10088 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M) N) (tptp.transi6264000038957366511cl_nat tptp.pred_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.44  (assume a10089 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.numera1916890842035813515d_enat M)) (tptp.extended_enat2 N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 19.22/19.44  (assume a10090 (forall ((Nat tptp.nat) (Nat2 tptp.nat)) (= (= (tptp.extended_enat2 Nat) (tptp.extended_enat2 Nat2)) (= Nat Nat2))))
% 19.22/19.44  (assume a10091 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.extended_enat2 M)) (tptp.extended_enat2 N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat M) N)))))
% 19.22/19.44  (assume a10092 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.extended_enat2 M)) (tptp.extended_enat2 N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.44  (assume a10093 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.plus_p3455044024723400733d_enat (tptp.extended_enat2 M) (tptp.extended_enat2 N)) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat M) N)))))
% 19.22/19.44  (assume a10094 (forall ((N tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat N (tptp.extended_enat2 tptp.zero_zero_nat)) N)))
% 19.22/19.44  (assume a10095 (forall ((N tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat (tptp.extended_enat2 tptp.zero_zero_nat) N) (tptp.extended_enat2 tptp.zero_zero_nat))))
% 19.22/19.44  (assume a10096 (forall ((A tptp.nat) (B2 tptp.nat)) (= (tptp.minus_3235023915231533773d_enat (tptp.extended_enat2 A) (tptp.extended_enat2 B2)) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat A) B2)))))
% 19.22/19.44  (assume a10097 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.times_7803423173614009249d_enat (tptp.extended_enat2 M) (tptp.extended_enat2 N)) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N)))))
% 19.22/19.44  (assume a10098 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.extended_enat2 M)) (tptp.extended_enat2 N)) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat M) N)))))
% 19.22/19.44  (assume a10099 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_mi8085742599997312461d_enat (tptp.extended_enat2 M)) (tptp.extended_enat2 N)) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat M) N)))))
% 19.22/19.44  (assume a10100 (forall ((M tptp.num) (N tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.numera1916890842035813515d_enat M)) (tptp.extended_enat2 N))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_num_nat tptp.numeral_numeral_nat M)) N)))))
% 19.22/19.44  (assume a10101 (= tptp.zero_z5237406670263579293d_enat (tptp.extended_enat2 tptp.zero_zero_nat)))
% 19.22/19.44  (assume a10102 (forall ((X tptp.nat)) (= (= (tptp.extended_enat2 X) tptp.zero_z5237406670263579293d_enat) (= X tptp.zero_zero_nat))))
% 19.22/19.44  (assume a10103 (forall ((X tptp.nat)) (= (= tptp.zero_z5237406670263579293d_enat (tptp.extended_enat2 X)) (= X tptp.zero_zero_nat))))
% 19.22/19.44  (assume a10104 (forall ((N tptp.nat)) (= (tptp.semiri4216267220026989637d_enat N) (tptp.extended_enat2 N))))
% 19.22/19.44  (assume a10105 (forall ((N tptp.extended_enat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat N) (tptp.extended_enat2 M))) (exists ((K2 tptp.nat)) (= N (tptp.extended_enat2 K2))))))
% 19.22/19.44  (assume a10106 (forall ((N tptp.extended_enat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat N) (tptp.extended_enat2 M))) (not (forall ((K2 tptp.nat)) (=> (= N (tptp.extended_enat2 K2)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat K2) M)))))))))
% 19.22/19.44  (assume a10107 (= tptp.one_on7984719198319812577d_enat (tptp.extended_enat2 tptp.one_one_nat)))
% 19.22/19.44  (assume a10108 (forall ((X tptp.nat)) (= (= (tptp.extended_enat2 X) tptp.one_on7984719198319812577d_enat) (= X tptp.one_one_nat))))
% 19.22/19.44  (assume a10109 (forall ((X tptp.nat)) (= (= tptp.one_on7984719198319812577d_enat (tptp.extended_enat2 X)) (= X tptp.one_one_nat))))
% 19.22/19.44  (assume a10110 (forall ((K tptp.num)) (= (tptp.numera1916890842035813515d_enat K) (tptp.extended_enat2 (tptp.aa_num_nat tptp.numeral_numeral_nat K)))))
% 19.22/19.44  (assume a10111 (forall ((M tptp.nat) (N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.extended_enat2 (tptp.aa_nat_nat tptp.suc M))) N)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.extended_enat2 M)) N)))))
% 19.22/19.44  (assume a10112 (forall ((A3 tptp.set_Extended_enat) (N tptp.nat)) (=> (forall ((Y3 tptp.extended_enat)) (=> (tptp.member_Extended_enat Y3 A3) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat Y3) (tptp.extended_enat2 N))))) (tptp.finite4001608067531595151d_enat A3))))
% 19.22/19.44  (assume a10113 (forall ((N tptp.extended_enat) (M tptp.nat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat N) (tptp.extended_enat2 M))) (exists ((K2 tptp.nat)) (= N (tptp.extended_enat2 K2))))))
% 19.22/19.44  (assume a10114 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat M) N) (tptp.transi2905341329935302413cl_nat tptp.pred_nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat M) N)))))
% 19.22/19.44  (assume a10115 (forall ((X tptp.extended_enat) (Y tptp.extended_enat) (N tptp.nat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.plus_p3455044024723400733d_enat X Y)) (tptp.extended_enat2 N))) (exists ((Y7 tptp.nat) (X7 tptp.nat)) (and (= X (tptp.extended_enat2 X7)) (= Y (tptp.extended_enat2 Y7)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat X7) Y7)) N)))))))
% 19.22/19.44  (assume a10116 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) N))) (tptp.vEBT_Node Info Deg TreeList Summary)))))
% 19.22/19.44  (assume a10117 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (L tptp.nat)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) (tptp.extended_enat2 L)) (tptp.vEBT_Node Info Deg (tptp.take_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_ma Deg) TreeList)) (tptp.vEBT_VEBT_elim_dead Summary (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))))
% 19.22/19.44  (assume a10118 (forall ((X tptp.vEBT_VEBT) (Xa tptp.extended_enat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_VEBT_elim_dead X Xa) Y) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (not (= Y (tptp.vEBT_Leaf A4 B4))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary2)) (=> (= Xa tptp.extend5688581933313929465d_enat) (not (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_ma Deg2) TreeList2) (tptp.vEBT_VEBT_elim_dead Summary2 tptp.extend5688581933313929465d_enat))))))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary2)) (forall ((L2 tptp.nat)) (=> (= Xa (tptp.extended_enat2 L2)) (not (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.take_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_ma Deg2) TreeList2)) (tptp.vEBT_VEBT_elim_dead Summary2 (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))))))))))))))
% 19.22/19.44  (assume a10119 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) tptp.extend5688581933313929465d_enat) (tptp.vEBT_Node Info Deg (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_ma Deg) TreeList) (tptp.vEBT_VEBT_elim_dead Summary tptp.extend5688581933313929465d_enat)))))
% 19.22/19.44  (assume a10120 (forall ((Info tptp.option4927543243414619207at_nat) (Deg tptp.nat) (TreeList tptp.list_VEBT_VEBT) (Summary tptp.vEBT_VEBT) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_invar_vebt (tptp.vEBT_Node Info Deg TreeList Summary)) N)) (= (tptp.vEBT_VEBT_elim_dead (tptp.vEBT_Node Info Deg TreeList Summary) tptp.extend5688581933313929465d_enat) (tptp.vEBT_Node Info Deg TreeList Summary)))))
% 19.22/19.44  (assume a10121 (forall ((X tptp.extended_enat)) (= (not (= X tptp.extend5688581933313929465d_enat)) (exists ((I2 tptp.nat)) (= X (tptp.extended_enat2 I2))))))
% 19.22/19.44  (assume a10122 (forall ((X tptp.extended_enat)) (= (forall ((Y5 tptp.nat)) (not (= X (tptp.extended_enat2 Y5)))) (= X tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10123 (forall ((Q2 tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat Q2) tptp.extend5688581933313929465d_enat)) (not (= Q2 tptp.extend5688581933313929465d_enat)))))
% 19.22/19.44  (assume a10124 (forall ((Q2 tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.extend5688581933313929465d_enat) Q2)))))
% 19.22/19.44  (assume a10125 (forall ((Q2 tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat tptp.extend5688581933313929465d_enat Q2) tptp.extend5688581933313929465d_enat)))
% 19.22/19.44  (assume a10126 (forall ((Q2 tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat Q2 tptp.extend5688581933313929465d_enat) tptp.extend5688581933313929465d_enat)))
% 19.22/19.44  (assume a10127 (forall ((Q2 tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat Q2) tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10128 (forall ((Q2 tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat tptp.extend5688581933313929465d_enat) Q2)) (= Q2 tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10129 (forall ((N tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat tptp.extend5688581933313929465d_enat N) tptp.extend5688581933313929465d_enat)))
% 19.22/19.44  (assume a10130 (= (tptp.times_7803423173614009249d_enat tptp.extend5688581933313929465d_enat tptp.extend5688581933313929465d_enat) tptp.extend5688581933313929465d_enat))
% 19.22/19.44  (assume a10131 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat Q2) tptp.extend5688581933313929465d_enat) tptp.extend5688581933313929465d_enat)))
% 19.22/19.44  (assume a10132 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat tptp.extend5688581933313929465d_enat) Q2) tptp.extend5688581933313929465d_enat)))
% 19.22/19.44  (assume a10133 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_mi8085742599997312461d_enat Q2) tptp.extend5688581933313929465d_enat) Q2)))
% 19.22/19.44  (assume a10134 (forall ((Q2 tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_mi8085742599997312461d_enat tptp.extend5688581933313929465d_enat) Q2) Q2)))
% 19.22/19.44  (assume a10135 (forall ((N tptp.extended_enat)) (=> (not (= N tptp.extend5688581933313929465d_enat)) (= (tptp.minus_3235023915231533773d_enat N N) tptp.zero_z5237406670263579293d_enat))))
% 19.22/19.44  (assume a10136 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (=> (not (= X tptp.extend5688581933313929465d_enat)) (= (tptp.minus_3235023915231533773d_enat (tptp.plus_p3455044024723400733d_enat X Y) X) Y))))
% 19.22/19.44  (assume a10137 (forall ((A tptp.nat)) (= (tptp.minus_3235023915231533773d_enat (tptp.extended_enat2 A) tptp.extend5688581933313929465d_enat) tptp.zero_z5237406670263579293d_enat)))
% 19.22/19.44  (assume a10138 (forall ((N tptp.nat)) (and (=> (= N tptp.zero_zero_nat) (= (tptp.times_7803423173614009249d_enat tptp.extend5688581933313929465d_enat (tptp.extended_enat2 N)) tptp.zero_z5237406670263579293d_enat)) (=> (not (= N tptp.zero_zero_nat)) (= (tptp.times_7803423173614009249d_enat tptp.extend5688581933313929465d_enat (tptp.extended_enat2 N)) tptp.extend5688581933313929465d_enat)))))
% 19.22/19.44  (assume a10139 (forall ((M tptp.nat)) (and (=> (= M tptp.zero_zero_nat) (= (tptp.times_7803423173614009249d_enat (tptp.extended_enat2 M) tptp.extend5688581933313929465d_enat) tptp.zero_z5237406670263579293d_enat)) (=> (not (= M tptp.zero_zero_nat)) (= (tptp.times_7803423173614009249d_enat (tptp.extended_enat2 M) tptp.extend5688581933313929465d_enat) tptp.extend5688581933313929465d_enat)))))
% 19.22/19.44  (assume a10140 (forall ((A3 tptp.set_Extended_enat)) (and (=> (= A3 tptp.bot_bo7653980558646680370d_enat) (= (tptp.comple4398354569131411667d_enat A3) tptp.zero_z5237406670263579293d_enat)) (=> (not (= A3 tptp.bot_bo7653980558646680370d_enat)) (and (=> (tptp.finite4001608067531595151d_enat A3) (= (tptp.comple4398354569131411667d_enat A3) (tptp.lattic921264341876707157d_enat A3))) (=> (not (tptp.finite4001608067531595151d_enat A3)) (= (tptp.comple4398354569131411667d_enat A3) tptp.extend5688581933313929465d_enat)))))))
% 19.22/19.44  (assume a10141 (forall ((A3 tptp.set_Extended_enat)) (and (=> (= A3 tptp.bot_bo7653980558646680370d_enat) (= (tptp.comple2295165028678016749d_enat A3) tptp.extend5688581933313929465d_enat)) (=> (not (= A3 tptp.bot_bo7653980558646680370d_enat)) (= (tptp.comple2295165028678016749d_enat A3) (tptp.ord_Le1955565732374568822d_enat (tptp.aTP_Lamm_a A3)))))))
% 19.22/19.44  (assume a10142 (forall ((A tptp.extended_enat) (B2 tptp.extended_enat)) (= (= (tptp.times_7803423173614009249d_enat A B2) tptp.extend5688581933313929465d_enat) (or (and (= A tptp.extend5688581933313929465d_enat) (not (= B2 tptp.zero_z5237406670263579293d_enat))) (and (= B2 tptp.extend5688581933313929465d_enat) (not (= A tptp.zero_z5237406670263579293d_enat)))))))
% 19.22/19.44  (assume a10143 (not (= tptp.extend5688581933313929465d_enat tptp.zero_z5237406670263579293d_enat)))
% 19.22/19.44  (assume a10144 (forall ((A tptp.extended_enat) (B2 tptp.extended_enat) (C tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.plus_p3455044024723400733d_enat A B2)) (tptp.plus_p3455044024723400733d_enat A C))) (and (not (= A tptp.extend5688581933313929465d_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat B2) C))))))
% 19.22/19.44  (assume a10145 (not (= tptp.extend5688581933313929465d_enat tptp.one_on7984719198319812577d_enat)))
% 19.22/19.44  (assume a10146 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (= (tptp.plus_p3455044024723400733d_enat M N) tptp.extend5688581933313929465d_enat) (or (= M tptp.extend5688581933313929465d_enat) (= N tptp.extend5688581933313929465d_enat)))))
% 19.22/19.44  (assume a10147 (forall ((A tptp.extended_enat) (B2 tptp.extended_enat) (C tptp.extended_enat)) (= (= (tptp.plus_p3455044024723400733d_enat A B2) (tptp.plus_p3455044024723400733d_enat A C)) (or (= A tptp.extend5688581933313929465d_enat) (= B2 C)))))
% 19.22/19.44  (assume a10148 (forall ((K tptp.num)) (not (= (tptp.numera1916890842035813515d_enat K) tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10149 (= tptp.top_to3028658606643905974d_enat tptp.extend5688581933313929465d_enat))
% 19.22/19.44  (assume a10150 (forall ((Q2 tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat Q2) tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10151 (forall ((A tptp.extended_enat) (B2 tptp.extended_enat) (C tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.plus_p3455044024723400733d_enat A B2)) (tptp.plus_p3455044024723400733d_enat A C))) (or (= A tptp.extend5688581933313929465d_enat) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat B2) C))))))
% 19.22/19.44  (assume a10152 (forall ((N tptp.nat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat tptp.extend5688581933313929465d_enat) (tptp.extended_enat2 N))))))
% 19.22/19.44  (assume a10153 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat tptp.extend5688581933313929465d_enat) (tptp.extended_enat2 M))))))
% 19.22/19.44  (assume a10154 (forall ((P tptp.fun_Ex8563670519792538868t_bool)) (= (exists ((X_13 tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P X_13))) (or (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P tptp.extend5688581933313929465d_enat)) (exists ((X2 tptp.nat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool P (tptp.extended_enat2 X2))))))))
% 19.22/19.44  (assume a10155 (forall ((Y tptp.extended_enat) (Ya tptp.extended_enat) (Yb tptp.extended_enat)) (=> (=> (exists ((Nat3 tptp.nat)) (= Y (tptp.extended_enat2 Nat3))) (=> (exists ((Nata tptp.nat)) (= Ya (tptp.extended_enat2 Nata))) (forall ((Natb tptp.nat)) (not (= Yb (tptp.extended_enat2 Natb)))))) (=> (=> (exists ((Nat3 tptp.nat)) (= Y (tptp.extended_enat2 Nat3))) (=> (exists ((Nata tptp.nat)) (= Ya (tptp.extended_enat2 Nata))) (not (= Yb tptp.extend5688581933313929465d_enat)))) (=> (=> (exists ((Nat3 tptp.nat)) (= Y (tptp.extended_enat2 Nat3))) (=> (= Ya tptp.extend5688581933313929465d_enat) (forall ((Nata tptp.nat)) (not (= Yb (tptp.extended_enat2 Nata)))))) (=> (=> (exists ((Nat3 tptp.nat)) (= Y (tptp.extended_enat2 Nat3))) (=> (= Ya tptp.extend5688581933313929465d_enat) (not (= Yb tptp.extend5688581933313929465d_enat)))) (=> (=> (= Y tptp.extend5688581933313929465d_enat) (=> (exists ((Nat3 tptp.nat)) (= Ya (tptp.extended_enat2 Nat3))) (forall ((Nata tptp.nat)) (not (= Yb (tptp.extended_enat2 Nata)))))) (=> (=> (= Y tptp.extend5688581933313929465d_enat) (=> (exists ((Nat3 tptp.nat)) (= Ya (tptp.extended_enat2 Nat3))) (not (= Yb tptp.extend5688581933313929465d_enat)))) (=> (=> (= Y tptp.extend5688581933313929465d_enat) (=> (= Ya tptp.extend5688581933313929465d_enat) (forall ((Nat3 tptp.nat)) (not (= Yb (tptp.extended_enat2 Nat3)))))) (not (=> (= Y tptp.extend5688581933313929465d_enat) (=> (= Ya tptp.extend5688581933313929465d_enat) (not (= Yb tptp.extend5688581933313929465d_enat))))))))))))))
% 19.22/19.44  (assume a10156 (forall ((Y tptp.extended_enat) (Ya tptp.extended_enat)) (=> (=> (exists ((Nat3 tptp.nat)) (= Y (tptp.extended_enat2 Nat3))) (forall ((Nata tptp.nat)) (not (= Ya (tptp.extended_enat2 Nata))))) (=> (=> (exists ((Nat3 tptp.nat)) (= Y (tptp.extended_enat2 Nat3))) (not (= Ya tptp.extend5688581933313929465d_enat))) (=> (=> (= Y tptp.extend5688581933313929465d_enat) (forall ((Nat3 tptp.nat)) (not (= Ya (tptp.extended_enat2 Nat3))))) (not (=> (= Y tptp.extend5688581933313929465d_enat) (not (= Ya tptp.extend5688581933313929465d_enat)))))))))
% 19.22/19.44  (assume a10157 (forall ((Y tptp.extended_enat)) (=> (forall ((Nat3 tptp.nat)) (not (= Y (tptp.extended_enat2 Nat3)))) (= Y tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10158 (forall ((Nat tptp.nat)) (not (= (tptp.extended_enat2 Nat) tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10159 (forall ((Nat tptp.nat)) (not (= tptp.extend5688581933313929465d_enat (tptp.extended_enat2 Nat)))))
% 19.22/19.44  (assume a10160 (forall ((M tptp.nat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.extend5688581933313929465d_enat) (tptp.extended_enat2 M))))))
% 19.22/19.44  (assume a10161 (forall ((N tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat N) tptp.extend5688581933313929465d_enat)) (not (forall ((K2 tptp.nat)) (not (= N (tptp.extended_enat2 K2))))))))
% 19.22/19.44  (assume a10162 (forall ((M tptp.nat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.extended_enat2 M)) tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10163 (forall ((N tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N)) (= (tptp.times_7803423173614009249d_enat tptp.extend5688581933313929465d_enat N) tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10164 (forall ((N tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) N)) (= (tptp.times_7803423173614009249d_enat N tptp.extend5688581933313929465d_enat) tptp.extend5688581933313929465d_enat))))
% 19.22/19.44  (assume a10165 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat M N) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_mc N) tptp.extend5688581933313929465d_enat M))))
% 19.22/19.44  (assume a10166 (forall ((A tptp.extended_enat) (B2 tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat A B2) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_me B2) tptp.extend5688581933313929465d_enat A))))
% 19.22/19.44  (assume a10167 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat M N) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_mg N) (tptp.if_Extended_enat (tptp.aa_Ext2772979874139974381t_bool (tptp.fequal_Extended_enat N) tptp.zero_z5237406670263579293d_enat) tptp.zero_z5237406670263579293d_enat tptp.extend5688581933313929465d_enat) M))))
% 19.22/19.44  (assume a10168 (forall ((X tptp.vEBT_VEBT) (Xa tptp.extended_enat) (Y tptp.vEBT_VEBT)) (=> (= (tptp.vEBT_VEBT_elim_dead X Xa) Y) (=> (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat X Xa)) (=> (forall ((A4 tptp.bool) (B4 tptp.bool)) (=> (= X (tptp.vEBT_Leaf A4 B4)) (=> (= Y (tptp.vEBT_Leaf A4 B4)) (not (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat (tptp.vEBT_Leaf A4 B4) Xa)))))) (=> (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary2)) (=> (= Xa tptp.extend5688581933313929465d_enat) (=> (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_ma Deg2) TreeList2) (tptp.vEBT_VEBT_elim_dead Summary2 tptp.extend5688581933313929465d_enat))) (not (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary2) tptp.extend5688581933313929465d_enat))))))) (not (forall ((Info2 tptp.option4927543243414619207at_nat) (Deg2 tptp.nat) (TreeList2 tptp.list_VEBT_VEBT) (Summary2 tptp.vEBT_VEBT)) (=> (= X (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary2)) (forall ((L2 tptp.nat)) (=> (= Xa (tptp.extended_enat2 L2)) (=> (= Y (tptp.vEBT_Node Info2 Deg2 (tptp.take_VEBT_VEBT (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.map_VE8901447254227204932T_VEBT (tptp.aTP_Lamm_ma Deg2) TreeList2)) (tptp.vEBT_VEBT_elim_dead Summary2 (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat L2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Deg2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (not (tptp.accp_P6183159247885693666d_enat tptp.vEBT_V312737461966249ad_rel (tptp.produc581526299967858633d_enat (tptp.vEBT_Node Info2 Deg2 TreeList2 Summary2) (tptp.extended_enat2 L2))))))))))))))))
% 19.22/19.44  (assume a10169 (forall ((N tptp.nat)) (= (tptp.aa_Extended_enat_nat tptp.extended_the_enat (tptp.extended_enat2 N)) N)))
% 19.22/19.44  (assume a10170 (forall ((A3 tptp.set_Extended_enat)) (=> (tptp.finite4001608067531595151d_enat A3) (=> (not (= A3 tptp.bot_bo7653980558646680370d_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc (tptp.lattic921264341876707157d_enat A3)) (tptp.lattic921264341876707157d_enat (tptp.image_80655429650038917d_enat tptp.extended_eSuc A3)))))))
% 19.22/19.44  (assume a10171 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc M) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)) (= M N))))
% 19.22/19.44  (assume a10172 (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc tptp.extend5688581933313929465d_enat) tptp.extend5688581933313929465d_enat))
% 19.22/19.44  (assume a10173 (forall ((N tptp.extended_enat) (M tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc M))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat N) M)))))
% 19.22/19.44  (assume a10174 (forall ((N tptp.extended_enat) (M tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc M))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat N) M)))))
% 19.22/19.44  (assume a10175 (forall ((N tptp.extended_enat) (M tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc M)) (tptp.minus_3235023915231533773d_enat N M))))
% 19.22/19.44  (assume a10176 (forall ((N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat N) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc tptp.zero_z5237406670263579293d_enat))) (= N tptp.zero_z5237406670263579293d_enat))))
% 19.22/19.44  (assume a10177 (forall ((N tptp.extended_enat)) (= (tptp.minus_3235023915231533773d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N) tptp.one_on7984719198319812577d_enat) N)))
% 19.22/19.44  (assume a10178 (forall ((K tptp.num)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc (tptp.numera1916890842035813515d_enat K)) (tptp.numera1916890842035813515d_enat (tptp.aa_num_num (tptp.plus_plus_num K) tptp.one)))))
% 19.22/19.44  (assume a10179 (forall ((M tptp.nat) (N tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat (tptp.extended_enat2 M)) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N))) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.extended_enat2 M)) N)))))
% 19.22/19.44  (assume a10180 (= tptp.one_on7984719198319812577d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc tptp.zero_z5237406670263579293d_enat)))
% 19.22/19.44  (assume a10181 (forall ((N tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat tptp.zero_z5237406670263579293d_enat) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)))))
% 19.22/19.44  (assume a10182 (forall ((N tptp.extended_enat)) (not (= tptp.zero_z5237406670263579293d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)))))
% 19.22/19.44  (assume a10183 (forall ((N tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N) (tptp.plus_p3455044024723400733d_enat N tptp.one_on7984719198319812577d_enat))))
% 19.22/19.44  (assume a10184 (forall ((Q2 tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat tptp.one_on7984719198319812577d_enat Q2) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc Q2))))
% 19.22/19.44  (assume a10185 (forall ((Q2 tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat Q2 tptp.one_on7984719198319812577d_enat) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc Q2))))
% 19.22/19.44  (assume a10186 (tptp.order_4130057895858720880d_enat tptp.extended_eSuc))
% 19.22/19.44  (assume a10187 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat M (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc (tptp.plus_p3455044024723400733d_enat M N)))))
% 19.22/19.44  (assume a10188 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.plus_p3455044024723400733d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc M) N) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc (tptp.plus_p3455044024723400733d_enat M N)))))
% 19.22/19.44  (assume a10189 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat X) Y)) (tptp.aa_Ext7969882492699152700d_enat (tptp.aa_Ext3475206891998675565d_enat tptp.ord_ma741700101516333627d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc X)) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc Y)))))
% 19.22/19.44  (assume a10190 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat M (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)) (tptp.plus_p3455044024723400733d_enat M (tptp.times_7803423173614009249d_enat M N)))))
% 19.22/19.44  (assume a10191 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (= (tptp.times_7803423173614009249d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc M) N) (tptp.plus_p3455044024723400733d_enat N (tptp.times_7803423173614009249d_enat M N)))))
% 19.22/19.44  (assume a10192 (forall ((M tptp.extended_enat) (N tptp.extended_enat)) (=> (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le72135733267957522d_enat M) N)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc M)) N)))))
% 19.22/19.44  (assume a10193 (forall ((N tptp.extended_enat)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat N) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)))))
% 19.22/19.44  (assume a10194 (forall ((N tptp.extended_enat)) (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.ord_le2932123472753598470d_enat (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc N)) tptp.zero_z5237406670263579293d_enat)))))
% 19.22/19.44  (assume a10195 (forall ((N tptp.nat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc (tptp.extended_enat2 N)) (tptp.extended_enat2 (tptp.aa_nat_nat tptp.suc N)))))
% 19.22/19.44  (assume a10196 (forall ((X tptp.extended_enat) (Y tptp.nat)) (= (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc X) (tptp.extended_enat2 Y)) (exists ((N5 tptp.nat)) (and (= Y (tptp.aa_nat_nat tptp.suc N5)) (= X (tptp.extended_enat2 N5)))))))
% 19.22/19.44  (assume a10197 (forall ((Y tptp.nat) (X tptp.extended_enat)) (= (= (tptp.extended_enat2 Y) (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc X)) (exists ((N5 tptp.nat)) (and (= Y (tptp.aa_nat_nat tptp.suc N5)) (= (tptp.extended_enat2 N5) X))))))
% 19.22/19.44  (assume a10198 (forall ((A3 tptp.set_Extended_enat)) (=> (not (= A3 tptp.bot_bo7653980558646680370d_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc (tptp.comple4398354569131411667d_enat A3)) (tptp.comple4398354569131411667d_enat (tptp.image_80655429650038917d_enat tptp.extended_eSuc A3))))))
% 19.22/19.44  (assume a10199 (forall ((I tptp.extended_enat)) (= (tptp.aa_Ext7969882492699152700d_enat tptp.extended_eSuc I) (tptp.extend3600170679010898289d_enat tptp.aTP_Lamm_mh tptp.extend5688581933313929465d_enat I))))
% 19.22/19.44  (assume a10200 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.member8440522571783428010at_nat (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat X) Y) tptp.less_than) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X) Y)))))
% 19.22/19.44  (assume a10201 (tptp.quotie6870213296501934825t_real tptp.realrel tptp.real2 tptp.rep_real tptp.cr_real))
% 19.22/19.44  (assume a10202 (forall ((A tptp.code_integer) (B2 tptp.code_integer)) (= (tptp.gcd_lcm_Code_integer A B2) (tptp.divide6298287555418463151nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.abs_abs_Code_integer A)) (tptp.abs_abs_Code_integer B2)) (tptp.gcd_gcd_Code_integer A B2)))))
% 19.22/19.44  (assume a10203 (forall ((M tptp.nat) (N tptp.nat)) (= (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_lcm_nat M) N) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (and (= M (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)) (= N (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat))))))
% 19.22/19.44  (assume a10204 (forall ((M tptp.int) (N tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int M)) (tptp.aa_int_int tptp.abs_abs_int N)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.gcd_gcd_int M) N)) (tptp.aa_int_int (tptp.gcd_lcm_int M) N)))))
% 19.22/19.44  (assume a10205 (forall ((M tptp.nat) (N tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat M) N) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat M) N)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_lcm_nat M) N)))))
% 19.22/19.44  (assume a10206 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_lcm_nat X) Y) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat X) Y)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_gcd_nat X) Y)))))
% 19.22/19.44  (assume a10207 (forall ((M tptp.nat) (N tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) M)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) N)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat tptp.zero_zero_nat) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.gcd_lcm_nat M) N)))))))
% 19.22/19.44  (assume a10208 (forall ((M tptp.int) (N tptp.int)) (=> (not (= M tptp.zero_zero_int)) (=> (not (= N tptp.zero_zero_int)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.gcd_lcm_int M) N)))))))
% 19.22/19.44  (assume a10209 (forall ((A tptp.int) (B2 tptp.int)) (= (tptp.aa_int_int (tptp.gcd_lcm_int A) B2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.divide_divide_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.abs_abs_int A)) (tptp.aa_int_int tptp.abs_abs_int B2))) (tptp.aa_int_int (tptp.gcd_gcd_int A) B2)))))
% 19.22/19.44  (assume a10210 (forall ((Uu2 tptp.fun_nat_rat)) (= (tptp.aa_fun765758790203053448at_rat tptp.aTP_Lamm_lf Uu2) (tptp.if_fun_nat_rat (tptp.vanishes Uu2) tptp.aTP_Lamm_ld (tptp.aTP_Lamm_kz Uu2)))))
% 19.22/19.44  (assume a10211 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_dt Uu2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uu2)) tptp.one_one_real)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))))
% 19.22/19.44  (assume a10212 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_eb Uu2) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat tptp.suc Uu2)))))
% 19.22/19.44  (assume a10213 (forall ((Uu2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_fr Uu2)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Uu2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uu2) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))) (= (tptp.aa_real_real tptp.cos_real Uu2) tptp.zero_zero_real)))))
% 19.22/19.44  (assume a10214 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_eq Uu2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.cos_coeff Uu2)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) Uu2)))))
% 19.22/19.44  (assume a10215 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_iy Uu2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.cos_real Uu2)) (tptp.aa_real_real tptp.sin_real Uu2)))))
% 19.22/19.44  (assume a10216 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_jy Uu2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real tptp.ln_ln_real Uu2)) Uu2))))
% 19.22/19.44  (assume a10217 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_ja Uu2) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu2)))))
% 19.22/19.44  (assume a10218 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_hz Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) (tptp.aa_nat_nat tptp.suc tptp.zero_zero_nat)))))
% 19.22/19.44  (assume a10219 (forall ((Uu2 tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_li Uu2) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) Uu2))))
% 19.22/19.44  (assume a10220 (forall ((Uu2 tptp.product_prod_int_int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool tptp.aTP_Lamm_ll Uu2)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Uu2)) (tptp.product_snd_int_int Uu2)))))))
% 19.22/19.44  (assume a10221 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_jd Uu2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu2)))))
% 19.22/19.44  (assume a10222 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_iw Uu2) (tptp.suminf_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dq Uu2)))))
% 19.22/19.44  (assume a10223 (forall ((Uu2 tptp.real)) (= (tptp.aa_rea5117059003799598681omplex tptp.aTP_Lamm_kq Uu2) (tptp.princi3496590319149328850omplex (tptp.collec8663557070575231912omplex (tptp.produc9214369023355538061x_bool (tptp.aTP_Lamm_kp Uu2)))))))
% 19.22/19.44  (assume a10224 (forall ((Uu2 tptp.real)) (= (tptp.aa_rea5428163979925208277l_real tptp.aTP_Lamm_ko Uu2) (tptp.princi6114159922880469582l_real (tptp.collec3799799289383736868l_real (tptp.produc5257810830037637649l_bool (tptp.aTP_Lamm_kn Uu2)))))))
% 19.22/19.44  (assume a10225 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_real tptp.aTP_Lamm_jf Uu2) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uu2))))))
% 19.22/19.44  (assume a10226 (forall ((Uu2 tptp.num)) (= (tptp.aa_num_option_num tptp.aTP_Lamm_hg Uu2) (tptp.some_num (tptp.aa_num_num tptp.bit1 Uu2)))))
% 19.22/19.44  (assume a10227 (forall ((Uu2 tptp.num)) (= (tptp.aa_num_option_num tptp.aTP_Lamm_hf Uu2) (tptp.some_num (tptp.aa_num_num tptp.bit0 Uu2)))))
% 19.22/19.44  (assume a10228 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat8803788312118491388at_nat tptp.aTP_Lamm_fn Uu2) (tptp.product_Pair_nat_nat (tptp.aa_nat_nat tptp.suc Uu2)))))
% 19.22/19.44  (assume a10229 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_Extended_enat tptp.aTP_Lamm_mh Uu2) (tptp.extended_enat2 (tptp.aa_nat_nat tptp.suc Uu2)))))
% 19.22/19.44  (assume a10230 (forall ((Uu2 tptp.fun_nat_rat)) (= (tptp.pp (tptp.aa_fun_nat_rat_bool tptp.aTP_Lamm_lg Uu2)) (exists ((R5 tptp.rat)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat tptp.zero_zero_rat) R5)) (exists ((K3 tptp.nat)) (forall ((N5 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat K3) N5)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat R5) (tptp.aa_nat_rat Uu2 N5)))))))))))
% 19.22/19.44  (assume a10231 (forall ((Uu2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_ib Uu2)) (exists ((I2 tptp.int) (N5 tptp.nat)) (and (= Uu2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real N5))) (not (= N5 tptp.zero_zero_nat)))))))
% 19.22/19.44  (assume a10232 (forall ((Uu2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_ia Uu2)) (exists ((I2 tptp.int) (J3 tptp.int)) (and (= Uu2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_int_real tptp.ring_1_of_int_real I2)) (tptp.aa_int_real tptp.ring_1_of_int_real J3))) (not (= J3 tptp.zero_zero_int)))))))
% 19.22/19.44  (assume a10233 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_option_num tptp.aTP_Lamm_he Uu2) (tptp.some_num tptp.one))))
% 19.22/19.44  (assume a10234 (forall ((Uu2 tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_hm Uu2) Uua) (tptp.case_num_option_num (tptp.some_num tptp.one) (tptp.aTP_Lamm_hk Uua) (tptp.aTP_Lamm_hl Uua) Uu2))))
% 19.22/19.44  (assume a10235 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ec Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.zero_zero_real) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a10236 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_int (tptp.aa_Cod1242632294114111009er_int tptp.aTP_Lamm_gp Uu2) Uua) (tptp.aa_int_int (tptp.if_int (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uua) tptp.zero_z3403309356797280102nteger) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.code_int_of_integer Uu2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.code_int_of_integer Uu2))) tptp.one_one_int)))))
% 19.22/19.44  (assume a10237 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_num (tptp.aa_Cod6128727250572145423er_num tptp.aTP_Lamm_ho Uu2) Uua) (tptp.aa_num_num (tptp.if_num (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uua) tptp.zero_z3403309356797280102nteger) (tptp.aa_num_num (tptp.plus_plus_num (tptp.code_num_of_integer Uu2)) (tptp.code_num_of_integer Uu2))) (tptp.aa_num_num (tptp.plus_plus_num (tptp.aa_num_num (tptp.plus_plus_num (tptp.code_num_of_integer Uu2)) (tptp.code_num_of_integer Uu2))) tptp.one)))))
% 19.22/19.44  (assume a10238 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.aa_Code_integer_nat (tptp.aa_Cod5420483313623307717er_nat tptp.aTP_Lamm_ky Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uua) tptp.zero_z3403309356797280102nteger)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.code_nat_of_integer Uu2)) (tptp.code_nat_of_integer Uu2))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.code_nat_of_integer Uu2)) (tptp.code_nat_of_integer Uu2))) tptp.one_one_nat)))))
% 19.22/19.44  (assume a10239 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int tptp.aTP_Lamm_gf Uu2) Uua) (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uu2) tptp.zero_zero_int) (tptp.product_Pair_int_int tptp.zero_zero_int tptp.one_one_int) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int tptp.sgn_sgn_int Uu2)) Uua) (tptp.aa_int_int tptp.abs_abs_int Uu2))))))
% 19.22/19.44  (assume a10240 (forall ((Uu2 tptp.extended_enat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_mg Uu2) Uua) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_mf Uua) (tptp.if_Extended_enat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat Uua) tptp.zero_zero_nat) tptp.zero_z5237406670263579293d_enat tptp.extend5688581933313929465d_enat) Uu2))))
% 19.22/19.44  (assume a10241 (forall ((Uu2 tptp.extended_enat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_me Uu2) Uua) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_md Uua) tptp.zero_z5237406670263579293d_enat Uu2))))
% 19.22/19.44  (assume a10242 (forall ((Uu2 tptp.extended_enat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_mc Uu2) Uua) (tptp.extend3600170679010898289d_enat (tptp.aTP_Lamm_mb Uua) tptp.extend5688581933313929465d_enat Uu2))))
% 19.22/19.44  (assume a10243 (forall ((Uu2 tptp.extended_enat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_lr Uu2) Uua)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.extend8126323780198025762t_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eh Uua) tptp.fFalse) Uu2)))))
% 19.22/19.44  (assume a10244 (forall ((Uu2 tptp.extended_enat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_ls Uu2) Uua)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.extend8126323780198025762t_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) tptp.fTrue) Uu2)))))
% 19.22/19.44  (assume a10245 (forall ((Uu2 tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aa_nat3713591252005393295on_num tptp.aTP_Lamm_hn Uu2) Uua) (tptp.case_nat_option_num tptp.none_num (tptp.aTP_Lamm_hm Uua) Uu2))))
% 19.22/19.44  (assume a10246 (forall ((Uu2 tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aTP_Lamm_hk Uu2) Uua) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_hf (tptp.bit_take_bit_num Uu2 Uua)))))
% 19.22/19.44  (assume a10247 (forall ((Uu2 tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_hh Uu2) Uua) (tptp.case_o6005452278849405969um_num tptp.none_num tptp.aTP_Lamm_hf (tptp.bit_take_bit_num Uua Uu2)))))
% 19.22/19.44  (assume a10248 (forall ((Uu2 tptp.product_prod_int_int) (Uua tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.aa_Pro4124234152028750080nt_int tptp.aTP_Lamm_lj Uu2) Uua) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Uu2)) (tptp.product_snd_int_int Uua))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Uua)) (tptp.product_snd_int_int Uu2))) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Uu2)) (tptp.product_snd_int_int Uua))))))
% 19.22/19.44  (assume a10249 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dp Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) tptp.one_one_nat))))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uu2) tptp.one_one_real)) (tptp.aa_nat_nat tptp.suc Uua))))))
% 19.22/19.44  (assume a10250 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ea Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat))))))
% 19.22/19.44  (assume a10251 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ee Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))))))
% 19.22/19.44  (assume a10252 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fs Uu2) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.sin_real Uua) Uu2)))))
% 19.22/19.44  (assume a10253 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fo Uu2) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.pi) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))))) (= (tptp.aa_real_real tptp.tan_real Uua) Uu2)))))
% 19.22/19.44  (assume a10254 (forall ((Uu2 tptp.complex) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_fk Uu2) Uua)) (and (= (tptp.aa_complex_complex tptp.sgn_sgn_complex Uu2) (tptp.aa_real_complex tptp.cis Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.pi)) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) tptp.pi))))))
% 19.22/19.44  (assume a10255 (forall ((Uu2 tptp.product_prod_int_int) (Uua tptp.product_prod_int_int)) (= (tptp.aa_Pro6970504127699319548nt_int (tptp.aa_Pro4124234152028750080nt_int tptp.aTP_Lamm_lk Uu2) Uua) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_fst_int_int Uu2)) (tptp.product_fst_int_int Uua)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.product_snd_int_int Uu2)) (tptp.product_snd_int_int Uua))))))
% 19.22/19.44  (assume a10256 (forall ((Uu2 tptp.real) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_gd Uu2) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real (tptp.aa_int_real tptp.ring_1_of_int_real Uua)) Uu2)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real Uu2) (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uua) tptp.one_one_int))))))))
% 19.22/19.44  (assume a10257 (forall ((Uu2 tptp.rat) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_ge Uu2) Uua)) (and (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_eq_rat (tptp.aa_int_rat tptp.ring_1_of_int_rat Uua)) Uu2)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.ord_less_rat Uu2) (tptp.aa_int_rat tptp.ring_1_of_int_rat (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uua) tptp.one_one_int))))))))
% 19.22/19.44  (assume a10258 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dq Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))))))
% 19.22/19.44  (assume a10259 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ix Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a10260 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_iz Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.uminus_uminus_real tptp.one_one_real)) Uua)) (tptp.aa_nat_real Uu2 Uua)))))
% 19.22/19.44  (assume a10261 (forall ((Uu2 tptp.rat) (Uua tptp.product_prod_int_int)) (= (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.aTP_Lamm_ht Uu2) Uua)) (and (= Uu2 (tptp.aa_int_rat (tptp.fract (tptp.product_fst_int_int Uua)) (tptp.product_snd_int_int Uua))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int tptp.zero_zero_int) (tptp.product_snd_int_int Uua))) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.algebr932160517623751201me_int (tptp.product_fst_int_int Uua)) (tptp.product_snd_int_int Uua)))))))
% 19.22/19.44  (assume a10262 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_fh Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))
% 19.22/19.44  (assume a10263 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ew Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uua)))))
% 19.22/19.44  (assume a10264 (forall ((Uu2 tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_jz Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uu2)) (tptp.aa_real_real tptp.exp_real Uua)))))
% 19.22/19.44  (assume a10265 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_lz Uu2) Uua) (tptp.aa_nat_set_nat (tptp.set_or6659071591806873216st_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uua)) Uu2))))
% 19.22/19.44  (assume a10266 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hx Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uu2) Uua)) Uua))))
% 19.22/19.44  (assume a10267 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_fa Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua)) Uu2))))
% 19.22/19.44  (assume a10268 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ez Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua)) Uua))))
% 19.22/19.44  (assume a10269 (forall ((Uu2 tptp.nat) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_er Uu2) Uua)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uua) Uu2) tptp.one_one_complex))))
% 19.22/19.44  (assume a10270 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jk Uu2) Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))) Uua))))
% 19.22/19.44  (assume a10271 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_kc Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uu2) Uua))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) Uua)))))
% 19.22/19.44  (assume a10272 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ka Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uu2) Uua))) Uua))))
% 19.22/19.44  (assume a10273 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_bt Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real tptp.one_one_real) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) tptp.one_one_nat))))))
% 19.22/19.44  (assume a10274 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_fq Uu2) Uua)) (and (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real tptp.zero_zero_real) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real Uua) tptp.pi)) (= (tptp.aa_real_real tptp.cos_real Uua) Uu2)))))
% 19.22/19.44  (assume a10275 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_cx Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 19.22/19.44  (assume a10276 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_cy Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 19.22/19.44  (assume a10277 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_cz Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 19.22/19.44  (assume a10278 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_da Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))))
% 19.22/19.44  (assume a10279 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_dr Uu2) Uua) (tptp.aa_complex_complex (tptp.times_times_complex (tptp.aa_nat_complex Uu2 Uua)) (tptp.aa_nat_complex (tptp.power_power_complex tptp.zero_zero_complex) Uua)))))
% 19.22/19.44  (assume a10280 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ds Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu2 Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real tptp.zero_zero_real) Uua)))))
% 19.22/19.44  (assume a10281 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_jq Uu2) Uua) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz Uu2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat))))))
% 19.22/19.44  (assume a10282 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_jp Uu2) Uua) (tptp.groups6591440286371151544t_real (tptp.aTP_Lamm_iz Uu2) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))))))
% 19.22/19.44  (assume a10283 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ha Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.nat_triangle (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua))) Uu2))))
% 19.22/19.44  (assume a10284 (forall ((Uu2 tptp.num) (Uua tptp.num)) (= (tptp.aa_num_int (tptp.aTP_Lamm_hd Uu2) Uua) (tptp.aa_int_int (tptp.bit_se2923211474154528505it_int (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2))) (tptp.aa_num_int tptp.numeral_numeral_int Uua))))))
% 19.22/19.44  (assume a10285 (forall ((Uu2 tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_id Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real tptp.sgn_sgn_real Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real tptp.abs_abs_real Uua)) Uu2)))))
% 19.22/19.44  (assume a10286 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ep Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.sin_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) Uua)))))
% 19.22/19.44  (assume a10287 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_eo Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real tptp.cos_coeff Uua)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) Uua)))))
% 19.22/19.44  (assume a10288 (forall ((Uu2 tptp.num) (Uua tptp.num)) (= (tptp.aa_num_int (tptp.aa_num_fun_num_int tptp.aTP_Lamm_lh Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_num_int tptp.numeral_numeral_int Uu2)) (tptp.aa_num_int tptp.numeral_numeral_int Uua)))))
% 19.22/19.44  (assume a10289 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_bu Uu2) Uua) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)) (tptp.numera6690914467698888265omplex (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a10290 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_bv Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)) (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a10291 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_bw Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_rat_rat (tptp.divide_divide_rat (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)) (tptp.aa_num_rat tptp.numeral_numeral_rat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a10292 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_fi Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uua)))))
% 19.22/19.44  (assume a10293 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jl Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uu2) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real tptp.one_one_real) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua)))))))))
% 19.22/19.44  (assume a10294 (forall ((Uu2 tptp.nat) (Uua tptp.vEBT_VEBT)) (= (tptp.aa_VEB5832953974749077948T_VEBT (tptp.aTP_Lamm_ma Uu2) Uua) (tptp.vEBT_VEBT_elim_dead Uua (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))
% 19.22/19.44  (assume a10295 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.aTP_Lamm_lt Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_bool_int tptp.zero_n2684676970156552555ol_int (tptp.aa_bool_bool tptp.fNot (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int Uua) tptp.zero_zero_int)))))))
% 19.22/19.44  (assume a10296 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jj Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu2) (tptp.aa_real_real tptp.uminus_uminus_real (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua))))))))
% 19.22/19.44  (assume a10297 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_jg Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu2) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uua)))))))
% 19.22/19.44  (assume a10298 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ke Uu2) Uua) (tptp.groups6591440286371151544t_real Uu2 (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat Uua)))))
% 19.22/19.44  (assume a10299 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_db Uu2) Uua) (tptp.aa_complex_complex (tptp.minus_minus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)))))
% 19.22/19.44  (assume a10300 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_dd Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))))
% 19.22/19.44  (assume a10301 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_dc Uu2) Uua) (tptp.aa_rat_rat (tptp.minus_minus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)))))
% 19.22/19.44  (assume a10302 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_de Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua)))))
% 19.22/19.44  (assume a10303 (forall ((Uu2 tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_df Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua)))))
% 19.22/19.44  (assume a10304 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_cn Uu2) Uua) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua)))))
% 19.22/19.44  (assume a10305 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_co Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua)))))
% 19.22/19.44  (assume a10306 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_cp Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua)))))
% 19.22/19.44  (assume a10307 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_cq Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua)))))
% 19.22/19.44  (assume a10308 (forall ((Uu2 tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_cr Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua)))))
% 19.22/19.44  (assume a10309 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_list_nat (tptp.aa_nat6157064778417537467st_nat tptp.aTP_Lamm_lu Uu2) Uua) (tptp.cons_nat Uu2 (tptp.nat_list_decode Uua)))))
% 19.22/19.44  (assume a10310 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ks Uu2) Uua)) (= Uua (tptp.aa_nat_nat tptp.suc Uu2)))))
% 19.22/19.44  (assume a10311 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_eh Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uua) Uu2)))))
% 19.22/19.44  (assume a10312 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ic Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat Uua) Uu2))))
% 19.22/19.44  (assume a10313 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ei Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uua) Uu2)))))
% 19.22/19.44  (assume a10314 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_au Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uua) Uu2))))
% 19.22/19.44  (assume a10315 (forall ((Uu2 tptp.rat) (Uua tptp.rat)) (= (tptp.aa_rat_rat (tptp.aTP_Lamm_av Uu2) Uua) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat Uua) Uu2))))
% 19.22/19.44  (assume a10316 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_aw Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uu2))))
% 19.22/19.44  (assume a10317 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_ax Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uu2))))
% 19.22/19.44  (assume a10318 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_lp Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uua) Uu2))))
% 19.22/19.44  (assume a10319 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hc Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uu2))))
% 19.22/19.44  (assume a10320 (forall ((Uu2 tptp.nat) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.aTP_Lamm_if Uu2) Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uu2))))
% 19.22/19.44  (assume a10321 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_lq Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uua) Uu2))))
% 19.22/19.44  (assume a10322 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hy Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uu2))))
% 19.22/19.44  (assume a10323 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.aa_int_int (tptp.aTP_Lamm_hj Uu2) Uua) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uua) Uu2))))
% 19.22/19.44  (assume a10324 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.aTP_Lamm_ih Uu2) Uua) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real Uua) Uu2))))
% 19.22/19.44  (assume a10325 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer)) (= (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.aTP_Lamm_aj Uu2) Uua)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.dvd_dvd_Code_integer Uua) Uu2)))))
% 19.22/19.44  (assume a10326 (forall ((Uu2 tptp.complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_af Uu2) Uua)) (tptp.pp (tptp.aa_complex_bool (tptp.dvd_dvd_complex Uua) Uu2)))))
% 19.22/19.44  (assume a10327 (forall ((Uu2 tptp.real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.aTP_Lamm_ag Uu2) Uua)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.dvd_dvd_real Uua) Uu2)))))
% 19.22/19.44  (assume a10328 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_ah Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uua) Uu2)))))
% 19.22/19.44  (assume a10329 (forall ((Uu2 tptp.int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.aTP_Lamm_ai Uu2) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.dvd_dvd_int Uua) Uu2)))))
% 19.22/19.44  (assume a10330 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_ey Uu2) Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uua) Uu2))))
% 19.22/19.44  (assume a10331 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_je Uu2) Uua) (tptp.aa_real_real (tptp.aa_nat_fun_real_real tptp.root Uua) Uu2))))
% 19.22/19.44  (assume a10332 (forall ((Uu2 tptp.set_Extended_enat) (Uua tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aTP_Lamm_a Uu2) Uua)) (tptp.member_Extended_enat Uua Uu2))))
% 19.22/19.44  (assume a10333 (forall ((Uu2 tptp.set_complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_aa Uu2) Uua)) (tptp.member_complex Uua Uu2))))
% 19.22/19.44  (assume a10334 (forall ((Uu2 tptp.set_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_ab Uu2) Uua)) (tptp.member_real Uua Uu2))))
% 19.22/19.44  (assume a10335 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_ac Uu2) Uua)) (tptp.member_list_nat Uua Uu2))))
% 19.22/19.44  (assume a10336 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_ad Uu2) Uua)) (tptp.member_nat Uua Uu2))))
% 19.22/19.44  (assume a10337 (forall ((Uu2 tptp.set_int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_ae Uu2) Uua)) (tptp.member_int Uua Uu2))))
% 19.22/19.44  (assume a10338 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_ev Uu2) Uua) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)))))
% 19.22/19.44  (assume a10339 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_eu Uu2) Uua) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)))))
% 19.22/19.44  (assume a10340 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_ie Uu2) Uua) (tptp.aa_real_real Uu2 (tptp.aa_real_real tptp.uminus_uminus_real Uua)))))
% 19.22/19.44  (assume a10341 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_cg Uu2) Uua) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.22/19.44  (assume a10342 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_jr Uu2) Uua)) (tptp.pp (tptp.aa_nat_bool Uu2 (tptp.aa_nat_nat tptp.suc Uua))))))
% 19.22/19.44  (assume a10343 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ch Uu2) Uua) (tptp.aa_nat_rat Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.22/19.44  (assume a10344 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aTP_Lamm_ca Uu2) Uua) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.22/19.44  (assume a10345 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_int (tptp.aTP_Lamm_cb Uu2) Uua) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat tptp.suc Uua)))))
% 19.22/19.44  (assume a10346 (forall ((Uu2 tptp.nat) (Uua tptp.num)) (= (tptp.aa_num_option_num (tptp.aTP_Lamm_hl Uu2) Uua) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num Uu2 Uua))))))
% 19.22/19.44  (assume a10347 (forall ((Uu2 tptp.num) (Uua tptp.nat)) (= (tptp.aa_nat_option_num (tptp.aTP_Lamm_hi Uu2) Uua) (tptp.some_num (tptp.case_option_num_num tptp.one tptp.bit1 (tptp.bit_take_bit_num Uua Uu2))))))
% 19.22/19.44  (assume a10348 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_lo Uu2) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_ln Uu2) Uua)))))
% 19.22/19.44  (assume a10349 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_gz Uu2) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_gy Uu2) Uua)))))
% 19.22/19.44  (assume a10350 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_gx Uu2) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_gw Uu2) Uua)))))
% 19.22/19.44  (assume a10351 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_gv Uu2) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_gu Uu2) Uua)))))
% 19.22/19.44  (assume a10352 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat4401263874371387303t_bool (tptp.aa_nat4909001760120733684t_bool tptp.aTP_Lamm_gt Uu2) Uua) (tptp.produc8955392012077580105t_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_gs Uu2) Uua)))))
% 19.22/19.44  (assume a10353 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat7997280740862404369at_nat (tptp.aa_nat5682243440470347102at_nat tptp.aTP_Lamm_gr Uu2) Uua) (tptp.produc2626176000494625587at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_gq Uu2) Uua)))))
% 19.22/19.44  (assume a10354 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_io Uu2) Uua) (tptp.suminf_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_in Uu2) Uua)))))
% 19.22/19.44  (assume a10355 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_complex (tptp.aTP_Lamm_ex Uu2) Uua) (tptp.aa_real_complex tptp.cis (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uu2))))))
% 19.22/19.44  (assume a10356 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_jw Uu2) Uua)) (not (= (tptp.aa_real_real Uu2 Uua) tptp.zero_zero_real)))))
% 19.22/19.44  (assume a10357 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.aTP_Lamm_bk Uu2) Uua)) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua))))))))
% 19.22/19.44  (assume a10358 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_bq Uu2) Uua) (tptp.times_times_complex (tptp.aa_complex_complex (tptp.minus_minus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 19.22/19.44  (assume a10359 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_bs Uu2) Uua) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))))))
% 19.22/19.44  (assume a10360 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_br Uu2) Uua) (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.minus_minus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))))))
% 19.22/19.44  (assume a10361 (forall ((Uu2 tptp.complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_bl Uu2) Uua) (tptp.times_times_complex (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex Uua))))))
% 19.22/19.44  (assume a10362 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_bm Uu2) Uua) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real Uua))))))
% 19.22/19.44  (assume a10363 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_bn Uu2) Uua) (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uua))))))
% 19.22/19.44  (assume a10364 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_bp Uu2) Uua) (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat Uua))))))
% 19.22/19.44  (assume a10365 (forall ((Uu2 tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_bo Uu2) Uua) (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int Uua))))))
% 19.22/19.44  (assume a10366 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_lx Uu2) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uua)))))
% 19.22/19.44  (assume a10367 (forall ((Uu2 tptp.real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.aTP_Lamm_ji Uu2) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) Uua)))))
% 19.22/19.44  (assume a10368 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_mf Uu2) Uua) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu2) Uua)))))
% 19.22/19.44  (assume a10369 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_md Uu2) Uua) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uua)))))
% 19.22/19.44  (assume a10370 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_Extended_enat (tptp.aTP_Lamm_mb Uu2) Uua) (tptp.extended_enat2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uua)))))
% 19.22/19.44  (assume a10371 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hp Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uu2) Uua)))))
% 19.22/19.44  (assume a10372 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_hq Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_min_nat Uua) Uu2)))))
% 19.22/19.44  (assume a10373 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_gc Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uu2) Uua)))))
% 19.22/19.44  (assume a10374 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.aTP_Lamm_gb Uu2) Uua) (tptp.aa_nat_nat tptp.suc (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.ord_max_nat Uua) Uu2)))))
% 19.22/19.44  (assume a10375 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_jc Uu2) Uua) (tptp.aa_real_real tptp.inverse_inverse_real (tptp.aa_nat_real Uu2 Uua)))))
% 19.22/19.44  (assume a10376 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_kz Uu2) Uua) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat Uu2 Uua)))))
% 19.22/19.44  (assume a10377 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat tptp.aTP_Lamm_kv Uu2) Uua) (tptp.aa_rat_rat tptp.uminus_uminus_rat (tptp.aa_nat_rat Uu2 Uua)))))
% 19.22/19.44  (assume a10378 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.nat)) (= (tptp.aa_nat3829984526574172007omplex (tptp.aTP_Lamm_ci Uu2) Uua) (tptp.times_times_complex (tptp.aa_nat_complex Uu2 Uua)))))
% 19.22/19.44  (assume a10379 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_cj Uu2) Uua) (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu2 Uua)))))
% 19.22/19.44  (assume a10380 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_rat_rat (tptp.aTP_Lamm_ck Uu2) Uua) (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 Uua)))))
% 19.22/19.44  (assume a10381 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat)) (= (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_cl Uu2) Uua) (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 Uua)))))
% 19.22/19.44  (assume a10382 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat)) (= (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_cm Uu2) Uua) (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 Uua)))))
% 19.22/19.44  (assume a10383 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_kg Uu2) Uua) (tptp.aa_real_real tptp.artanh_real (tptp.aa_real_real Uu2 Uua)))))
% 19.22/19.44  (assume a10384 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_kf Uu2) Uua) (tptp.aa_real_real tptp.arcosh_real (tptp.aa_real_real Uu2 Uua)))))
% 19.22/19.44  (assume a10385 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_dy Uu2) Uua) (tptp.aa_real_real tptp.abs_abs_real (tptp.aa_nat_real Uu2 Uua)))))
% 19.22/19.44  (assume a10386 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat)) (= (tptp.aa_nat_real (tptp.aTP_Lamm_jo Uu2) Uua) (tptp.aa_real_real tptp.cos_real (tptp.aa_nat_real Uu2 Uua)))))
% 19.22/19.44  (assume a10387 (forall ((Uu2 tptp.fun_re4238438383274954274t_real) (Uua tptp.real)) (= (tptp.aa_real_real (tptp.aTP_Lamm_il Uu2) Uua) (tptp.suminf_real (tptp.aa_real_fun_nat_real Uu2 Uua)))))
% 19.22/19.44  (assume a10388 (forall ((Uu2 tptp.list_VEBT_VEBT) (Uua tptp.vEBT_VEBT)) (= (tptp.pp (tptp.aa_VEBT_VEBT_bool (tptp.aTP_Lamm_bg Uu2) Uua)) (exists ((I2 tptp.nat)) (and (= Uua (tptp.nth_VEBT_VEBT Uu2 I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s6755466524823107622T_VEBT Uu2))))))))
% 19.22/19.44  (assume a10389 (forall ((Uu2 tptp.list_complex) (Uua tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aTP_Lamm_bd Uu2) Uua)) (exists ((I2 tptp.nat)) (and (= Uua (tptp.aa_nat_complex (tptp.nth_complex Uu2) I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s3451745648224563538omplex Uu2))))))))
% 19.22/19.44  (assume a10390 (forall ((Uu2 tptp.list_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_be Uu2) Uua)) (exists ((I2 tptp.nat)) (and (= Uua (tptp.aa_nat_real (tptp.nth_real Uu2) I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_real Uu2))))))))
% 19.22/19.44  (assume a10391 (forall ((Uu2 tptp.list_list_nat) (Uua tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aTP_Lamm_bf Uu2) Uua)) (exists ((I2 tptp.nat)) (and (= Uua (tptp.nth_list_nat Uu2 I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_s3023201423986296836st_nat Uu2))))))))
% 19.22/19.44  (assume a10392 (forall ((Uu2 tptp.list_bool) (Uua tptp.bool)) (= (tptp.pp (tptp.aa_bool_bool (tptp.aTP_Lamm_bh Uu2) Uua)) (exists ((I2 tptp.nat)) (and (= (tptp.pp Uua) (tptp.pp (tptp.aa_nat_bool (tptp.nth_bool Uu2) I2))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_bool Uu2))))))))
% 19.22/19.44  (assume a10393 (forall ((Uu2 tptp.list_nat) (Uua tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aTP_Lamm_bi Uu2) Uua)) (exists ((I2 tptp.nat)) (and (= Uua (tptp.aa_nat_nat (tptp.nth_nat Uu2) I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_nat Uu2))))))))
% 19.22/19.44  (assume a10394 (forall ((Uu2 tptp.list_int) (Uua tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aTP_Lamm_bj Uu2) Uua)) (exists ((I2 tptp.nat)) (and (= Uua (tptp.aa_nat_int (tptp.nth_int Uu2) I2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.size_size_list_int Uu2))))))))
% 19.22/19.44  (assume a10395 (forall ((Uu2 tptp.set_real) (Uua tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aTP_Lamm_lm Uu2) Uua)) (forall ((X2 tptp.real)) (=> (tptp.member_real X2 Uu2) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_eq_real X2) Uua)))))))
% 19.22/19.44  (assume a10396 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_set_nat (tptp.aTP_Lamm_ly Uu2) Uua) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uu2))))
% 19.22/19.44  (assume a10397 (forall ((Uu2 tptp.nat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_lc Uu2) Uua) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat Uu2))))
% 19.22/19.44  (assume a10398 (forall ((Uu2 tptp.int) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_le Uu2) Uua) (tptp.aa_int_rat tptp.ring_1_of_int_rat Uu2))))
% 19.22/19.44  (assume a10399 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_ed Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uub)) (tptp.aa_nat_real Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) tptp.one_one_nat)) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))
% 19.22/19.44  (assume a10400 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_et Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uub)) (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real Uua Uub)))))
% 19.22/19.44  (assume a10401 (forall ((Uu2 tptp.num) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_ft Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le3102999989581377725nteger (tptp.numera6620942414471956472nteger Uu2)) Uub) (tptp.produc1086072967326762835nteger (tptp.plus_p5714425477246183910nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger Uub (tptp.numera6620942414471956472nteger Uu2))) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger (tptp.aa_Cod4161879620478718930nteger tptp.times_3573771949741848930nteger (tptp.numera6620942414471956472nteger (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) Uub)))))
% 19.22/19.44  (assume a10402 (forall ((Uu2 tptp.num) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aTP_Lamm_fl Uu2) Uua) Uub) (tptp.if_Pro6206227464963214023at_nat (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2)) Uub) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_nat)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) (tptp.aa_num_nat tptp.numeral_numeral_nat Uu2))) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) Uub)))))
% 19.22/19.44  (assume a10403 (forall ((Uu2 tptp.num) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_fm Uu2) Uua) Uub) (tptp.if_Pro3027730157355071871nt_int (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_num_int tptp.numeral_numeral_int Uu2)) Uub) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Uua)) tptp.one_one_int) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int Uub) (tptp.aa_num_int tptp.numeral_numeral_int Uu2))) (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_num_int tptp.numeral_numeral_int (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) Uub)))))
% 19.22/19.44  (assume a10404 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_fy Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uu2) Uub))))))
% 19.22/19.44  (assume a10405 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_go Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger (tptp.abs_abs_Code_integer Uu2) Uub))))))
% 19.22/19.44  (assume a10406 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod6977894654539884864nteger (tptp.aa_Cod8380929501330563836nteger (tptp.aTP_Lamm_fx Uu2) Uua) Uub) (tptp.if_Pro6119634080678213985nteger (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.zero_z3403309356797280102nteger) (tptp.produc1086072967326762835nteger (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) tptp.one_one_Code_integer) (tptp.minus_8373710615458151222nteger Uu2 Uub))))))
% 19.22/19.44  (assume a10407 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_fun9137271176455094897l_bool (tptp.aTP_Lamm_jt Uu2) Uua) Uub)) (tptp.has_fi5821293074295781190e_real Uu2 (tptp.aa_real_real Uua Uub) (tptp.topolo2177554685111907308n_real Uub tptp.top_top_set_real)))))
% 19.22/19.44  (assume a10408 (forall ((Uu2 tptp.fun_re4238438383274954274t_real) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_ik Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real Uu2 Uub) Uua))))
% 19.22/19.44  (assume a10409 (forall ((Uu2 tptp.code_integer) (Uua tptp.code_integer) (Uub tptp.code_integer)) (= (tptp.aa_Cod2825494507867081354r_bool (tptp.aa_Cod4981436349852597092r_bool (tptp.aTP_Lamm_fw Uu2) Uua) Uub) (tptp.produc5135875973608410785r_bool (tptp.if_Code_integer (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.ord_le6747313008572928689nteger tptp.zero_z3403309356797280102nteger) Uu2) Uua (tptp.minus_8373710615458151222nteger (tptp.aa_Cod1783974652533396728nteger tptp.uminus1351360451143612070nteger Uua) Uub)) (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer Uub) tptp.one_one_Code_integer)))))
% 19.22/19.44  (assume a10410 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_kk Uu2) Uua) Uub)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool (tptp.aa_int2327297053056786951t_bool (tptp.aTP_Lamm_kj Uua) Uub)) (tptp.quotient_of Uu2))))))
% 19.22/19.44  (assume a10411 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ki Uu2) Uua) Uub)) (tptp.pp (tptp.aa_Pro4501881432599481050t_bool (tptp.produc8560705615207772305t_bool (tptp.aa_int2327297053056786951t_bool (tptp.aTP_Lamm_kh Uua) Uub)) (tptp.quotient_of Uu2))))))
% 19.22/19.44  (assume a10412 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_gn Uu2) Uua) Uub) (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gm Uua) Uub) (tptp.quotient_of Uu2)))))
% 19.22/19.44  (assume a10413 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_gl Uu2) Uua) Uub) (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gk Uua) Uub) (tptp.quotient_of Uu2)))))
% 19.22/19.44  (assume a10414 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_gj Uu2) Uua) Uub) (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gi Uua) Uub) (tptp.quotient_of Uu2)))))
% 19.22/19.44  (assume a10415 (forall ((Uu2 tptp.rat) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aTP_Lamm_gh Uu2) Uua) Uub) (tptp.produc4245557441103728435nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gg Uua) Uub) (tptp.quotient_of Uu2)))))
% 19.22/19.44  (assume a10416 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_ip Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 Uub) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 19.22/19.44  (assume a10417 (forall ((Uu2 tptp.real) (Uua tptp.fun_na6724076748692969250l_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1113820866546176217t_real (tptp.aTP_Lamm_iq Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uua Uub) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) Uub)))))
% 19.22/19.44  (assume a10418 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_im Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat tptp.suc Uub)))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 19.22/19.44  (assume a10419 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_es Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real Uua Uub)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uub))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) Uub)))))
% 19.22/19.44  (assume a10420 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_hv Uu2) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) tptp.one_one_nat)) (= (tptp.groups4561878855575611511st_nat Uub) Uua)))))
% 19.22/19.44  (assume a10421 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_hw Uu2) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) Uu2) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.groups4561878855575611511st_nat Uub)) tptp.one_one_nat) Uua)))))
% 19.22/19.44  (assume a10422 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_nat2079453845469346690t_bool (tptp.aTP_Lamm_hu Uu2) Uua) Uub)) (and (= (tptp.size_size_list_nat Uub) Uu2) (= (tptp.groups4561878855575611511st_nat Uub) Uua)))))
% 19.22/19.44  (assume a10423 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_fu Uu2) Uua) Uub)) (and (tptp.member_nat (tptp.aa_nat_nat tptp.suc Uub) Uu2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uua))))))
% 19.22/19.44  (assume a10424 (forall ((Uu2 tptp.set_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_fv Uu2) Uua) Uub)) (and (tptp.member_nat Uub Uu2) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) (tptp.aa_nat_nat tptp.suc Uua)))))))
% 19.22/19.44  (assume a10425 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_fb Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uub)))))
% 19.22/19.44  (assume a10426 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_km Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uu2) Uua)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uua) Uub))))))
% 19.22/19.44  (assume a10427 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_kl Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uu2) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uua) Uub))))))
% 19.22/19.44  (assume a10428 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_el Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uu2) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uub) Uua))))))
% 19.22/19.44  (assume a10429 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ek Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uu2) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int Uub) Uua))))))
% 19.22/19.44  (assume a10430 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aTP_Lamm_ej Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uu2) Uub)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int Uub) Uua))))))
% 19.22/19.44  (assume a10431 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_hs Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uub) Uua)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.dvd_dvd_nat Uub) Uu2))))))
% 19.22/19.44  (assume a10432 (forall ((Uu2 tptp.set_Extended_enat) (Uua tptp.set_Extended_enat) (Uub tptp.extended_enat)) (= (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.aa_set3329637325543298558t_bool (tptp.aTP_Lamm_ak Uu2) Uua) Uub)) (and (tptp.member_Extended_enat Uub Uu2) (not (tptp.member_Extended_enat Uub Uua))))))
% 19.22/19.44  (assume a10433 (forall ((Uu2 tptp.set_complex) (Uua tptp.set_complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_set3741564773079358752x_bool (tptp.aTP_Lamm_al Uu2) Uua) Uub)) (and (tptp.member_complex Uub Uu2) (not (tptp.member_complex Uub Uua))))))
% 19.22/19.44  (assume a10434 (forall ((Uu2 tptp.set_real) (Uua tptp.set_real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_set8565328311858951076l_bool (tptp.aTP_Lamm_am Uu2) Uua) Uub)) (and (tptp.member_real Uub Uu2) (not (tptp.member_real Uub Uua))))))
% 19.22/19.44  (assume a10435 (forall ((Uu2 tptp.set_list_nat) (Uua tptp.set_list_nat) (Uub tptp.list_nat)) (= (tptp.pp (tptp.aa_list_nat_bool (tptp.aa_set257547205302447420t_bool (tptp.aTP_Lamm_an Uu2) Uua) Uub)) (and (tptp.member_list_nat Uub Uu2) (not (tptp.member_list_nat Uub Uua))))))
% 19.22/19.44  (assume a10436 (forall ((Uu2 tptp.set_nat) (Uua tptp.set_nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_set3744802623701456604t_bool (tptp.aTP_Lamm_ap Uu2) Uua) Uub)) (and (tptp.member_nat Uub Uu2) (not (tptp.member_nat Uub Uua))))))
% 19.22/19.44  (assume a10437 (forall ((Uu2 tptp.set_int) (Uua tptp.set_int) (Uub tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_set7012339369581096484t_bool (tptp.aTP_Lamm_ao Uu2) Uua) Uub)) (and (tptp.member_int Uub Uu2) (not (tptp.member_int Uub Uua))))))
% 19.22/19.44  (assume a10438 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_hr Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uub) Uu2)) Uua)))))
% 19.22/19.44  (assume a10439 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_lw Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)) Uu2)))))
% 19.22/19.44  (assume a10440 (forall ((Uu2 tptp.real) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_kp Uu2) Uua) Uub)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_complex_real (tptp.real_V3694042436643373181omplex Uua) Uub)) Uu2)))))
% 19.22/19.44  (assume a10441 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_kn Uu2) Uua) Uub)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.ord_less_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.real_V975177566351809787t_real Uua) Uub)) Uu2)))))
% 19.22/19.44  (assume a10442 (forall ((Uu2 tptp.nat) (Uua tptp.complex) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_com1553036987509291606x_bool (tptp.aTP_Lamm_em Uu2) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uu2) Uua))))
% 19.22/19.44  (assume a10443 (forall ((Uu2 tptp.complex) (Uua tptp.nat) (Uub tptp.complex)) (= (tptp.pp (tptp.aa_complex_bool (tptp.aa_nat5545486172511849908x_bool (tptp.aTP_Lamm_fj Uu2) Uua) Uub)) (= (tptp.aa_nat_complex (tptp.power_power_complex Uub) Uua) Uu2))))
% 19.22/19.44  (assume a10444 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun4551936527957760560t_real (tptp.aTP_Lamm_jn Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_int_real tptp.ring_1_of_int_real (tptp.aa_nat_int Uua Uub))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_num_real tptp.numeral_numeral_real (tptp.aa_num_num tptp.bit0 tptp.one))) tptp.pi))))))
% 19.22/19.44  (assume a10445 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_in Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) (tptp.aa_nat_nat tptp.suc Uub))))))
% 19.22/19.44  (assume a10446 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_dz Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uua) Uub)))))
% 19.22/19.44  (assume a10447 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_fe Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uua) Uub)))))
% 19.22/19.44  (assume a10448 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_ef Uu2) Uua) Uub)) (and (tptp.pp (tptp.aa_nat_bool Uu2 Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uub) Uua))))))
% 19.22/19.44  (assume a10449 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ju Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real Uu2 Uub)) (tptp.aa_real_real Uua Uub)))))
% 19.22/19.44  (assume a10450 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_jx Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real Uua Uub)) (tptp.aa_real_real Uu2 Uub)))))
% 19.22/19.44  (assume a10451 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kt Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.times_times_rat (tptp.aa_nat_rat Uu2 Uub)) (tptp.aa_nat_rat Uua Uub)))))
% 19.22/19.44  (assume a10452 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_fun5791449513213591928at_nat (tptp.aTP_Lamm_dj Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 Uub)) (tptp.aa_nat_nat Uua Uub)))))
% 19.22/19.44  (assume a10453 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.fun_nat_int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_fun5565043122120104496at_int (tptp.aTP_Lamm_dk Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_nat_int Uu2 Uub)) (tptp.aa_nat_int Uua Uub)))))
% 19.22/19.44  (assume a10454 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.fun_int_int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_fun6280345759651049192nt_int (tptp.aTP_Lamm_dl Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int (tptp.aa_int_int Uu2 Uub)) (tptp.aa_int_int Uua Uub)))))
% 19.22/19.44  (assume a10455 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_jb Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uub)) (tptp.aa_nat_real Uua Uub)))))
% 19.22/19.44  (assume a10456 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_kx Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_nat_rat Uu2 Uub)) (tptp.aa_nat_rat Uua Uub)))))
% 19.22/19.44  (assume a10457 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aa_fun3638354034882855594at_rat tptp.aTP_Lamm_kw Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat (tptp.aa_nat_rat Uu2 Uub)) (tptp.aa_nat_rat Uua Uub)))))
% 19.22/19.44  (assume a10458 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_ij Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real Uu2 Uub)) (tptp.aa_real_real Uua Uub)))))
% 19.22/19.44  (assume a10459 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_eg Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat Uu2 Uub)) Uua)))))
% 19.22/19.44  (assume a10460 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_bx Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.modulo_modulo_nat (tptp.aa_nat_nat Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10461 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.int) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_int_fun_nat_int (tptp.aTP_Lamm_by Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_nat_int Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10462 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.int) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_int_fun_int_int (tptp.aTP_Lamm_bz Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.modulo_modulo_int (tptp.aa_int_int Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10463 (forall ((Uu2 tptp.fun_nat_complex) (Uua tptp.complex) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_com8181001469867462503omplex (tptp.aTP_Lamm_dw Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.divide1717551699836669952omplex (tptp.aa_nat_complex Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10464 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_dx Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10465 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.nat) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.aTP_Lamm_ig Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10466 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_dm Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_nat_nat Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10467 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_dn Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_nat_int Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10468 (forall ((Uu2 tptp.fun_int_int) (Uua tptp.nat) (Uub tptp.int)) (= (tptp.aa_int_int (tptp.aa_nat_fun_int_int (tptp.aTP_Lamm_do Uu2) Uua) Uub) (tptp.aa_nat_int (tptp.power_power_int (tptp.aa_int_int Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10469 (forall ((Uu2 tptp.nat) (Uua tptp.fun_real_real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_fun6946558556880649704l_real (tptp.aTP_Lamm_kb Uu2) Uua) Uub) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real Uua Uub)) Uu2))))
% 19.22/19.44  (assume a10470 (forall ((Uu2 tptp.fun_real_real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.aTP_Lamm_ii Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real (tptp.aa_real_real Uu2 Uub)) Uua))))
% 19.22/19.44  (assume a10471 (forall ((Uu2 tptp.fun_nat_rat) (Uua tptp.fun_nat_rat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_fun765758790203053448at_rat (tptp.aTP_Lamm_la Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.minus_minus_rat (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat Uu2 Uub))) (tptp.aa_rat_rat tptp.inverse_inverse_rat (tptp.aa_nat_rat Uua Uub))))))
% 19.22/19.44  (assume a10472 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_jh Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real Uua) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uu2) Uub)))))
% 19.22/19.44  (assume a10473 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_en Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uub) Uua)))))
% 19.22/19.44  (assume a10474 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_jv Uu2) Uua) Uub)) (tptp.member_real Uub (tptp.set_or1633881224788618240n_real Uu2 Uua)))))
% 19.22/19.44  (assume a10475 (forall ((Uu2 tptp.real) (Uua tptp.fun_nat_real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1839206346889086768t_real (tptp.aTP_Lamm_dv Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uu2) (tptp.aa_nat_real Uua Uub)))))
% 19.22/19.44  (assume a10476 (forall ((Uu2 tptp.complex) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_complex (tptp.aa_nat6454746962644518025omplex (tptp.aTP_Lamm_cs Uu2) Uua) Uub) (tptp.aa_complex_complex (tptp.plus_plus_complex Uu2) (tptp.aa_nat_complex tptp.semiri8010041392384452111omplex (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.22/19.44  (assume a10477 (forall ((Uu2 tptp.real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_ct Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uu2) (tptp.aa_nat_real tptp.semiri5074537144036343181t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.22/19.44  (assume a10478 (forall ((Uu2 tptp.rat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_rat (tptp.aa_nat_fun_nat_rat (tptp.aTP_Lamm_cu Uu2) Uua) Uub) (tptp.aa_rat_rat (tptp.aa_rat_fun_rat_rat tptp.plus_plus_rat Uu2) (tptp.aa_nat_rat tptp.semiri681578069525770553at_rat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.22/19.44  (assume a10479 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_cv Uu2) Uua) Uub) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.22/19.44  (assume a10480 (forall ((Uu2 tptp.int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_cw Uu2) Uua) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int Uu2) (tptp.aa_nat_int tptp.semiri1314217659103216013at_int (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uua) Uub))))))
% 19.22/19.44  (assume a10481 (forall ((Uu2 tptp.real) (Uua tptp.real) (Uub tptp.product_unit)) (= (tptp.aa_Product_unit_real (tptp.aa_rea7683167438103758690t_real (tptp.aTP_Lamm_lv Uu2) Uua) Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.powr_real2 Uu2) Uua))))
% 19.22/19.44  (assume a10482 (forall ((Uu2 tptp.fun_real_bool) (Uua tptp.real) (Uub tptp.real)) (= (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool (tptp.aTP_Lamm_kd Uu2) Uua) Uub)) (tptp.pp (tptp.aa_real_bool Uu2 (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real Uub) Uua))))))
% 19.22/19.44  (assume a10483 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_nat_fun_nat_real (tptp.aTP_Lamm_du Uu2) Uua) Uub) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.22/19.44  (assume a10484 (forall ((Uu2 tptp.fun_nat_bool) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aTP_Lamm_js Uu2) Uua) Uub)) (tptp.pp (tptp.aa_nat_bool Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 19.22/19.44  (assume a10485 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aTP_Lamm_cc Uu2) Uua) Uub) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.22/19.44  (assume a10486 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aTP_Lamm_cd Uu2) Uua) Uub) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.22/19.44  (assume a10487 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.fun_nat_nat) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_fun1538629612289296340t_real (tptp.aTP_Lamm_kr Uu2) Uua) Uub) (tptp.aa_nat_real Uu2 (tptp.aa_nat_nat Uua Uub)))))
% 19.22/19.44  (assume a10488 (forall ((Uu2 tptp.fun_nat_real) (Uua tptp.real) (Uub tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aTP_Lamm_jm Uu2) Uua) Uub) (tptp.aa_real_real tptp.cos_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_nat_real Uu2 Uub)) Uua)))))
% 19.22/19.44  (assume a10489 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_fg Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_set_nat_nat (tptp.groups3542108847815614940at_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_ff Uu2) Uua) Uuc)) (tptp.aa_nat_set_nat tptp.set_ord_atMost_nat Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uub) Uuc)))))
% 19.22/19.44  (assume a10490 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.nat) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_iv Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat tptp.suc Uua)) Uuc)) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uub) Uuc)))))
% 19.22/19.44  (assume a10491 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.nat) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_it Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uuc)) tptp.zero_zero_real)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uub) Uuc)))))
% 19.22/19.44  (assume a10492 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_ir Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 Uuc) Uua)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uub) Uua)) Uuc)))))
% 19.22/19.44  (assume a10493 (forall ((Uu2 tptp.fun_na6724076748692969250l_real) (Uua tptp.real) (Uub tptp.real) (Uuc tptp.nat)) (= (tptp.aa_nat_real (tptp.aa_real_fun_nat_real (tptp.aa_rea7841385751566875788t_real (tptp.aTP_Lamm_is Uu2) Uua) Uub) Uuc) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uu2 Uuc) Uub)) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real Uuc))) (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real Uua) Uub)) Uuc)))))
% 19.22/19.44  (assume a10494 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_gq Uu2) Uua) Uub) Uuc) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu2) Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat Uua) Uub))))))
% 19.22/19.44  (assume a10495 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_fd Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat tptp.semiri1316708129612266289at_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uub) Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uu2) Uuc))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.22/19.44  (assume a10496 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_fc Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.binomial Uua) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.22/19.44  (assume a10497 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aa_int2327297053056786951t_bool (tptp.aTP_Lamm_kj Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_eq_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uub))))))
% 19.22/19.44  (assume a10498 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_gu Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 19.22/19.44  (assume a10499 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool (tptp.aa_int2327297053056786951t_bool (tptp.aTP_Lamm_kh Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.ord_less_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uub))))))
% 19.22/19.44  (assume a10500 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_gs Uu2) Uua) Uub) Uuc)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua))))))
% 19.22/19.44  (assume a10501 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_gw Uu2) Uua) Uub) Uuc) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uub)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uuc)))))
% 19.22/19.44  (assume a10502 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat7603221163087113075at_nat (tptp.aa_nat8803788312118491388at_nat (tptp.aa_nat4158579785191972357at_nat (tptp.aTP_Lamm_gy Uu2) Uua) Uub) Uuc) (tptp.aa_nat7603221163087113075at_nat (tptp.product_Pair_nat_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc)) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uua) Uub)))))
% 19.22/19.44  (assume a10503 (forall ((Uu2 tptp.nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_nat8637530788439456283t_bool (tptp.aTP_Lamm_ln Uu2) Uua) Uub) Uuc)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uu2) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)))))
% 19.22/19.44  (assume a10504 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.fun_nat_nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_fun6650658898577385413at_nat (tptp.aTP_Lamm_ff Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.times_times_nat (tptp.aa_nat_nat Uu2 Uuc)) (tptp.aa_nat_nat Uua (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uub) Uuc))))))
% 19.22/19.44  (assume a10505 (forall ((Uu2 tptp.fun_nat_nat) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.aa_nat3783148529270815480at_nat (tptp.aTP_Lamm_ce Uu2) Uua) Uub) Uuc) (tptp.aa_nat_nat Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)) Uuc)))))
% 19.22/19.44  (assume a10506 (forall ((Uu2 tptp.fun_nat_int) (Uua tptp.nat) (Uub tptp.nat) (Uuc tptp.nat)) (= (tptp.aa_nat_int (tptp.aa_nat_fun_nat_int (tptp.aa_nat1293065384339088724at_int (tptp.aTP_Lamm_cf Uu2) Uua) Uub) Uuc) (tptp.aa_nat_int Uu2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.plus_plus_nat Uub) Uua)) Uuc)))))
% 19.22/19.44  (assume a10507 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gm Uu2) Uua) Uub) Uuc) (tptp.normalize (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.minus_minus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uub) Uua)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uuc))))))
% 19.22/19.44  (assume a10508 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gk Uu2) Uua) Uub) Uuc) (tptp.normalize (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.plus_plus_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uub) Uua)) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uuc))))))
% 19.22/19.44  (assume a10509 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gi Uu2) Uua) Uub) Uuc) (tptp.normalize (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uub) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uuc))))))
% 19.22/19.44  (assume a10510 (forall ((Uu2 tptp.int) (Uua tptp.int) (Uub tptp.int) (Uuc tptp.int)) (= (tptp.aa_int7462565939943104719nt_int (tptp.aa_int2565445551602696444nt_int (tptp.aa_int1966403025003302569nt_int (tptp.aTP_Lamm_gg Uu2) Uua) Uub) Uuc) (tptp.normalize (tptp.product_Pair_int_int (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uu2) Uuc) (tptp.aa_int_int (tptp.aa_int_fun_int_int tptp.times_times_int Uua) Uub))))))
% 19.22/19.44  (assume a10511 (forall ((Uu2 tptp.nat) (Uua tptp.fun_na6724076748692969250l_real) (Uub tptp.real) (Uuc tptp.nat) (Uud tptp.real)) (= (tptp.aa_real_real (tptp.aa_nat_fun_real_real (tptp.aa_rea1103652080130114956l_real (tptp.aa_fun2567993205388704171l_real (tptp.aTP_Lamm_iu Uu2) Uua) Uub) Uuc) Uud) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.minus_minus_real (tptp.aa_real_real (tptp.aa_nat_fun_real_real Uua Uuc) Uud)) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.plus_plus_real (tptp.groups6591440286371151544t_real (tptp.aa_real_fun_nat_real (tptp.aa_nat1308781354268537904t_real (tptp.aTP_Lamm_it Uua) Uuc) Uud) (tptp.aa_nat_set_nat tptp.set_ord_lessThan_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uuc)))) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.times_times_real Uub) (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real tptp.divide_divide_real (tptp.aa_nat_real (tptp.aa_real_fun_nat_real tptp.power_power_real Uud) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uuc))) (tptp.aa_nat_real tptp.semiri2265585572941072030t_real (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) Uuc)))))))))
% 19.22/19.44  (assume a10512 (forall ((Uu2 tptp.nat) (Uua tptp.list_VEBT_VEBT) (Uub tptp.vEBT_VEBT) (Uuc tptp.nat) (Uud tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool (tptp.aa_VEB1917483692448707121t_bool (tptp.aa_lis1179741779018426550t_bool (tptp.aTP_Lamm_hb Uu2) Uua) Uub) Uuc) Uud)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat Uuc) Uud)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uud) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uu2))) (forall ((I2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat I2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.minus_minus_nat Uu2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (= (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions (tptp.nth_VEBT_VEBT Uua I2)) X_13))) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions Uub) I2))))) (=> (= Uuc Uud) (forall ((X2 tptp.vEBT_VEBT)) (=> (tptp.pp (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool tptp.member_VEBT_VEBT X2) (tptp.set_VEBT_VEBT2 Uua))) (not (exists ((X_13 tptp.nat)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_VEB4832260192069861672t_bool tptp.vEBT_V8194947554948674370ptions X2) X_13))))))) (=> (not (= Uuc Uud)) (and (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) Uud)) (forall ((X2 tptp.nat)) (=> (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat X2) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.power_power_nat (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uu2))) (=> (tptp.pp (tptp.aa_nat_bool (tptp.vEBT_V5917875025757280293ildren (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat Uu2) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))) Uua) X2)) (and (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_nat Uuc) X2)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat X2) Uud))))))))))))
% 19.22/19.44  (assume a10513 (forall ((Uu2 tptp.rat) (Uua tptp.nat)) (= (tptp.aa_nat_rat (tptp.aTP_Lamm_ku Uu2) Uua) Uu2)))
% 19.22/19.44  (assume a10514 (forall ((Uu2 tptp.complex)) (= (tptp.aa_complex_complex tptp.aTP_Lamm_ay Uu2) Uu2)))
% 19.22/19.44  (assume a10515 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_az Uu2) Uu2)))
% 19.22/19.44  (assume a10516 (forall ((Uu2 tptp.rat)) (= (tptp.aa_rat_rat tptp.aTP_Lamm_ba Uu2) Uu2)))
% 19.22/19.44  (assume a10517 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_bb Uu2) Uu2)))
% 19.22/19.44  (assume a10518 (forall ((Uu2 tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_bc Uu2) Uu2)))
% 19.22/19.44  (assume a10519 (forall ((Uu2 tptp.real)) (= (tptp.aa_real_real tptp.aTP_Lamm_aq Uu2) tptp.zero_zero_real)))
% 19.22/19.44  (assume a10520 (forall ((Uu2 tptp.rat)) (= (tptp.aa_rat_rat tptp.aTP_Lamm_ar Uu2) tptp.zero_zero_rat)))
% 19.22/19.44  (assume a10521 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_rat tptp.aTP_Lamm_ld Uu2) tptp.zero_zero_rat)))
% 19.22/19.44  (assume a10522 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_as Uu2) tptp.zero_zero_nat)))
% 19.22/19.44  (assume a10523 (forall ((Uu2 tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_at Uu2) tptp.zero_zero_int)))
% 19.22/19.44  (assume a10524 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_rat tptp.aTP_Lamm_lb Uu2) tptp.one_one_rat)))
% 19.22/19.44  (assume a10525 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_nat tptp.aTP_Lamm_dg Uu2) tptp.one_one_nat)))
% 19.22/19.44  (assume a10526 (forall ((Uu2 tptp.nat)) (= (tptp.aa_nat_int tptp.aTP_Lamm_dh Uu2) tptp.one_one_int)))
% 19.22/19.44  (assume a10527 (forall ((Uu2 tptp.int)) (= (tptp.aa_int_int tptp.aTP_Lamm_di Uu2) tptp.one_one_int)))
% 19.22/19.44  (assume a10528 (forall ((Uu2 tptp.real)) (= (tptp.pp (tptp.aa_real_bool tptp.aTP_Lamm_fp Uu2)) false)))
% 19.22/19.44  (assume a10529 (forall ((Uu2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_fz Uu2)) false)))
% 19.22/19.44  (assume a10530 (forall ((Uu2 tptp.nat)) (= (tptp.pp (tptp.aa_nat_bool tptp.aTP_Lamm_ga Uu2)) true)))
% 19.22/19.44  (assume a10531 (forall ((P tptp.bool)) (or (tptp.pp P) (tptp.pp (tptp.aa_bool_bool tptp.fNot P)))))
% 19.22/19.44  (assume a10532 (forall ((P tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool tptp.fNot P))) (not (tptp.pp P)))))
% 19.22/19.44  (assume a10533 (tptp.pp tptp.fTrue))
% 19.22/19.44  (assume a10534 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fconj P) Q))) (tptp.pp Q))))
% 19.22/19.44  (assume a10535 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fconj P) Q))) (tptp.pp P))))
% 19.22/19.44  (assume a10536 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp P)) (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.fconj P) Q)))))
% 19.22/19.44  (assume a10537 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.fdisj P) Q))) (tptp.pp P) (tptp.pp Q))))
% 19.22/19.44  (assume a10538 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.fdisj P) Q)))))
% 19.22/19.44  (assume a10539 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp P)) (tptp.pp (tptp.aa_bool_bool (tptp.fdisj P) Q)))))
% 19.22/19.44  (assume a10540 (not (tptp.pp tptp.fFalse)))
% 19.22/19.44  (assume a10541 (forall ((P tptp.bool) (Q tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies P) Q))) (not (tptp.pp P)) (tptp.pp Q))))
% 19.22/19.44  (assume a10542 (forall ((Q tptp.bool) (P tptp.bool)) (or (not (tptp.pp Q)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies P) Q)))))
% 19.22/19.44  (assume a10543 (forall ((P tptp.bool) (Q tptp.bool)) (or (tptp.pp P) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fimplies P) Q)))))
% 19.22/19.44  (assume a10544 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.if_int tptp.fFalse X) Y) Y)))
% 19.22/19.44  (assume a10545 (forall ((X tptp.int) (Y tptp.int)) (= (tptp.aa_int_int (tptp.if_int tptp.fTrue X) Y) X)))
% 19.22/19.44  (assume a10546 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fFalse) X) Y) Y)))
% 19.22/19.44  (assume a10547 (forall ((X tptp.nat) (Y tptp.nat)) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat (tptp.if_nat tptp.fTrue) X) Y) X)))
% 19.22/19.44  (assume a10548 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.if_num tptp.fFalse X) Y) Y)))
% 19.22/19.44  (assume a10549 (forall ((X tptp.num) (Y tptp.num)) (= (tptp.aa_num_num (tptp.if_num tptp.fTrue X) Y) X)))
% 19.22/19.44  (assume a10550 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.if_rat tptp.fFalse X) Y) Y)))
% 19.22/19.44  (assume a10551 (forall ((X tptp.rat) (Y tptp.rat)) (= (tptp.aa_rat_rat (tptp.if_rat tptp.fTrue X) Y) X)))
% 19.22/19.44  (assume a10552 (forall ((P tptp.fun_nat_bool) (X tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool P X))) (tptp.pp (tptp.aa_fun_nat_bool_bool tptp.fEx_nat P)))))
% 19.22/19.44  (assume a10553 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real tptp.fFalse) X) Y) Y)))
% 19.22/19.44  (assume a10554 (forall ((X tptp.real) (Y tptp.real)) (= (tptp.aa_real_real (tptp.aa_rea7340605660300375871l_real (tptp.if_real tptp.fTrue) X) Y) X)))
% 19.22/19.44  (assume a10555 (forall ((X tptp.int) (Y tptp.int)) (or (not (= X Y)) (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X) Y)))))
% 19.22/19.44  (assume a10556 (forall ((X tptp.int) (Y tptp.int)) (or (not (tptp.pp (tptp.aa_int_bool (tptp.aa_int_fun_int_bool tptp.fequal_int X) Y))) (= X Y))))
% 19.22/19.44  (assume a10557 (forall ((X tptp.nat) (Y tptp.nat)) (or (not (= X Y)) (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Y)))))
% 19.22/19.44  (assume a10558 (forall ((X tptp.nat) (Y tptp.nat)) (or (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.fequal_nat X) Y))) (= X Y))))
% 19.22/19.44  (assume a10559 (forall ((X tptp.num) (Y tptp.num)) (or (not (= X Y)) (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.fequal_num X) Y)))))
% 19.22/19.44  (assume a10560 (forall ((X tptp.num) (Y tptp.num)) (or (not (tptp.pp (tptp.aa_num_bool (tptp.aa_num_fun_num_bool tptp.fequal_num X) Y))) (= X Y))))
% 19.22/19.44  (assume a10561 (forall ((X tptp.rat) (Y tptp.rat)) (or (not (= X Y)) (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.fequal_rat X) Y)))))
% 19.22/19.44  (assume a10562 (forall ((X tptp.rat) (Y tptp.rat)) (or (not (tptp.pp (tptp.aa_rat_bool (tptp.aa_rat_fun_rat_bool tptp.fequal_rat X) Y))) (= X Y))))
% 19.22/19.44  (assume a10563 (forall ((X tptp.bool) (Y tptp.bool)) (or (not (= X Y)) (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool X) Y)))))
% 19.22/19.44  (assume a10564 (forall ((X tptp.bool) (Y tptp.bool)) (or (not (tptp.pp (tptp.aa_bool_bool (tptp.aa_boo8970175072276269406l_bool tptp.fequal_bool X) Y))) (= X Y))))
% 19.22/19.44  (assume a10565 (forall ((X tptp.real) (Y tptp.real)) (or (not (= X Y)) (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X) Y)))))
% 19.22/19.44  (assume a10566 (forall ((X tptp.real) (Y tptp.real)) (or (not (tptp.pp (tptp.aa_real_bool (tptp.aa_rea7809428808904475482l_bool tptp.fequal_real X) Y))) (= X Y))))
% 19.22/19.44  (assume a10567 (forall ((P tptp.fun_real_bool)) (= (tptp.aa_real_bool P (tptp.fChoice_real P)) (tptp.aa_fun3352386287069783311l_bool tptp.fEx_real P))))
% 19.22/19.44  (assume a10568 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fFalse X) Y) Y)))
% 19.22/19.44  (assume a10569 (forall ((X tptp.complex) (Y tptp.complex)) (= (tptp.aa_complex_complex (tptp.if_complex tptp.fTrue X) Y) X)))
% 19.22/19.44  (assume a10570 (forall ((X tptp.complex) (Y tptp.complex)) (or (not (= X Y)) (tptp.pp (tptp.aa_complex_bool (tptp.fequal_complex X) Y)))))
% 19.22/19.44  (assume a10571 (forall ((X tptp.complex) (Y tptp.complex)) (or (not (tptp.pp (tptp.aa_complex_bool (tptp.fequal_complex X) Y))) (= X Y))))
% 19.22/19.44  (assume a10572 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.if_Extended_enat tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10573 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (= (tptp.if_Extended_enat tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10574 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10575 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (= (tptp.if_Code_integer tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10576 (forall ((X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.if_VEBT_VEBT tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10577 (forall ((X tptp.vEBT_VEBT) (Y tptp.vEBT_VEBT)) (= (tptp.if_VEBT_VEBT tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10578 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (or (not (= X Y)) (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.fequal_Extended_enat X) Y)))))
% 19.22/19.44  (assume a10579 (forall ((X tptp.extended_enat) (Y tptp.extended_enat)) (or (not (tptp.pp (tptp.aa_Ext2772979874139974381t_bool (tptp.fequal_Extended_enat X) Y))) (= X Y))))
% 19.22/19.44  (assume a10580 (forall ((P tptp.fun_VEBT_VEBT_bool) (X tptp.vEBT_VEBT)) (or (not (tptp.pp (tptp.fAll_VEBT_VEBT P))) (tptp.pp (tptp.aa_VEBT_VEBT_bool P X)))))
% 19.22/19.44  (assume a10581 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (or (not (= X Y)) (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer X) Y)))))
% 19.22/19.44  (assume a10582 (forall ((X tptp.code_integer) (Y tptp.code_integer)) (or (not (tptp.pp (tptp.aa_Code_integer_bool (tptp.aa_Cod7250484176784686200r_bool tptp.fequal_Code_integer X) Y))) (= X Y))))
% 19.22/19.44  (assume a10583 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (= (tptp.if_option_nat tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10584 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (= (tptp.if_option_nat tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10585 (forall ((X tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10586 (forall ((X tptp.fun_int_int) (Y tptp.fun_int_int)) (= (tptp.if_fun_int_int tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10587 (forall ((X tptp.fun_nat_rat) (Y tptp.fun_nat_rat)) (= (tptp.if_fun_nat_rat tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10588 (forall ((X tptp.fun_nat_rat) (Y tptp.fun_nat_rat)) (= (tptp.if_fun_nat_rat tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10589 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (or (not (= X Y)) (tptp.pp (tptp.fequal_option_nat X Y)))))
% 19.22/19.44  (assume a10590 (forall ((X tptp.option_nat) (Y tptp.option_nat)) (or (not (tptp.pp (tptp.fequal_option_nat X Y))) (= X Y))))
% 19.22/19.44  (assume a10591 (forall ((X tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.if_Pro3027730157355071871nt_int tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10592 (forall ((X tptp.product_prod_int_int) (Y tptp.product_prod_int_int)) (= (tptp.if_Pro3027730157355071871nt_int tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10593 (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.if_Pro6206227464963214023at_nat tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10594 (forall ((X tptp.product_prod_nat_nat) (Y tptp.product_prod_nat_nat)) (= (tptp.if_Pro6206227464963214023at_nat tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10595 (forall ((X tptp.fun_nat_fun_int_int) (Y tptp.fun_nat_fun_int_int)) (= (tptp.if_fun5757141600869472092nt_int tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10596 (forall ((X tptp.fun_nat_fun_int_int) (Y tptp.fun_nat_fun_int_int)) (= (tptp.if_fun5757141600869472092nt_int tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10597 (forall ((X tptp.fun_nat_fun_nat_nat) (Y tptp.fun_nat_fun_nat_nat)) (= (tptp.if_fun6060303171108177060at_nat tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10598 (forall ((X tptp.fun_nat_fun_nat_nat) (Y tptp.fun_nat_fun_nat_nat)) (= (tptp.if_fun6060303171108177060at_nat tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10599 (forall ((P tptp.fun_bool_bool) (Q tptp.fun_VEBT_VEBT_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBB_3745307990312268622T_VEBT P Q) R) (tptp.aa_bool_bool P (tptp.aa_VEBT_VEBT_bool Q R)))))
% 19.22/19.44  (assume a10600 (forall ((P tptp.fun_VE2066785035971159626l_bool) (Q tptp.fun_VEBT_VEBT_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBS_6222329278419335549l_bool P Q) R) (tptp.aa_bool_bool (tptp.aa_VEB8047906998784800507l_bool P R) (tptp.aa_VEBT_VEBT_bool Q R)))))
% 19.22/19.44  (assume a10601 (forall ((P tptp.bool)) (or (= P tptp.fTrue) (= P tptp.fFalse))))
% 19.22/19.44  (assume a10602 (forall ((X tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fFalse X Y) Y)))
% 19.22/19.44  (assume a10603 (forall ((X tptp.produc8923325533196201883nteger) (Y tptp.produc8923325533196201883nteger)) (= (tptp.if_Pro6119634080678213985nteger tptp.fTrue X Y) X)))
% 19.22/19.44  (assume a10604 (forall ((P tptp.fun_fu7168253649841883962l_bool) (Q tptp.fun_VE3763956218935105199t_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBB_2885587777813823575T_VEBT P Q) R) (tptp.aa_fun_nat_bool_bool P (tptp.aa_VEB4832260192069861672t_bool Q R)))))
% 19.22/19.44  (assume a10605 (forall ((P tptp.fun_bo1841576699660343469l_bool) (Q tptp.fun_VEBT_VEBT_bool) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEB8047906998784800507l_bool (tptp.cOMBB_3438363824644082366T_VEBT P Q) R) (tptp.aa_boo8970175072276269406l_bool P (tptp.aa_VEBT_VEBT_bool Q R)))))
% 19.22/19.44  (assume a10606 (forall ((P tptp.fun_VE7346385682144900493T_bool) (Q tptp.set_VEBT_VEBT) (R tptp.vEBT_VEBT)) (= (tptp.aa_VEBT_VEBT_bool (tptp.cOMBC_771164880915498576T_bool P Q) R) (tptp.aa_set8260762808118238015T_bool (tptp.aa_VEB289770264548726718T_bool P R) Q))))
% 19.22/19.44  (assume a10607 (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (assume a10608 true)
% 19.22/19.44  (step t1 (cl (=> (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))) :rule implies_neg1)
% 19.22/19.44  (anchor :step t2)
% 19.22/19.44  (assume t2.a0 (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))))
% 19.22/19.44  (step t2.t1 (cl (or (not (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))) :rule forall_inst :args ((:= A (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (:= B2 (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))
% 19.22/19.44  (step t2.t2 (cl (not (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) :rule or :premises (t2.t1))
% 19.22/19.44  (step t2.t3 (cl (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) :rule resolution :premises (t2.t2 t2.a0))
% 19.22/19.44  (step t2 (cl (not (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) :rule subproof :discharge (t2.a0))
% 19.22/19.44  (step t3 (cl (=> (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) :rule resolution :premises (t1 t2))
% 19.22/19.44  (step t4 (cl (=> (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (not (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))) :rule implies_neg2)
% 19.22/19.44  (step t5 (cl (=> (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (=> (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))) :rule resolution :premises (t3 t4))
% 19.22/19.44  (step t6 (cl (=> (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))) :rule contraction :premises (t5))
% 19.22/19.44  (step t7 (cl (not (forall ((A tptp.nat) (B2 tptp.nat)) (or (= A B2) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat A) B2))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat B2) A)))))) (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) :rule implies :premises (t6))
% 19.22/19.44  (step t8 (cl (not (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))))) (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))) :rule or_pos)
% 19.22/19.44  (step t9 (cl (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))) :rule reordering :premises (t8))
% 19.22/19.44  (step t10 (cl (not (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) :rule not_symm :premises (a10607))
% 19.22/19.44  (step t11 (cl (not (or (= (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))))) (not (tptp.pp (tptp.aa_nat_bool (tptp.aa_nat_fun_nat_bool tptp.ord_less_eq_nat (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.xa) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one))))) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.vEBT_VEBT_high tptp.za) (tptp.aa_nat_nat (tptp.aa_nat_fun_nat_nat tptp.divide_divide_nat tptp.deg) (tptp.aa_num_nat tptp.numeral_numeral_nat (tptp.aa_num_num tptp.bit0 tptp.one)))))))))) :rule resolution :premises (t9 t10 a0 a2))
% 19.22/19.48  (step t12 (cl) :rule resolution :premises (t7 t11 a49))
% 19.22/19.48  
% 19.22/19.48  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.cACmJa7ktW/cvc5---1.0.5_6719.smt2
% 19.22/19.49  % cvc5---1.0.5 exiting
% 19.22/19.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------